US20010013980A1 - Zoom lens system - Google Patents
Zoom lens system Download PDFInfo
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- US20010013980A1 US20010013980A1 US09/810,245 US81024501A US2001013980A1 US 20010013980 A1 US20010013980 A1 US 20010013980A1 US 81024501 A US81024501 A US 81024501A US 2001013980 A1 US2001013980 A1 US 2001013980A1
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- lens
- lens unit
- optical power
- zoom
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B15/00—Optical objectives with means for varying the magnification
- G02B15/14—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective
- G02B15/16—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective with interdependent non-linearly related movements between one lens or lens group, and another lens or lens group
- G02B15/177—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective with interdependent non-linearly related movements between one lens or lens group, and another lens or lens group having a negative front lens or group of lenses
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B15/00—Optical objectives with means for varying the magnification
- G02B15/14—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective
- G02B15/143—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective having three groups only
- G02B15/1435—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective having three groups only the first group being negative
- G02B15/143507—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective having three groups only the first group being negative arranged -++
Definitions
- the present invention relates to a zoom lens system, and more particularly to a compact and inexpensive zoom lens system particularly suited for use in digital still cameras.
- Japanese Laid-open Patent Applications Nos. H1-183615 and H9-311273 propose optical systems having a first lens unit of a negative-negative-positive configuration and a second lens unit of a positive-negative-positive configuration.
- the optical systems proposed in Japanese Laid-open Patent Applications Nos. H7-113956, H6-300969, and H7-63991 have a second lens unit including a doublet lens element formed by cementing together negative lens elements; and the optical system proposed in Japanese Laid-open Patent Application No. H5-93858 has a second lens unit including a doublet lens element formed by cementing together, from the object side, a positive lens element and a negative lens element. If a doublet lens element is considered to be a single lens element, it is assumed that those optical systems are each composed of a first lens unit of a negative-negative-positive configuration and a second lens unit of a positive-negative-positive configuration.
- Japanese Laid-open Patent Applications Nos. H6-201993 and H1-191820 propose optical systems that are composed of a first lens unit having a negative optical power, a second lens unit having a positive optical power, and a third lens unit having a positive optical power and employ a plastic lens element.
- An object of the present invention is to provide a compact, high-resolution, and low-cost zoom lens system suitable, in particular, for use in a digital still camera by arranging plastic lens elements effectively in a two-unit zoom lens system of a negative-positive configuration.
- a zoom lens system includes, from the object side, a first lens unit and a second lens unit.
- the first lens unit is composed of a negative, a negative, and a positive lens element and has a negative optical power as a whole.
- the second lens unit is composed of a positive, a negative, and a positive lens element and has a positive optical power as a whole.
- zooming is achieved by varying the distance between the first and second lens units, and at least one of those lens elements is a plastic lens element.
- a zoom lens system includes, from the object side, a first lens unit having a negative optical power and a second lens unit having a positive optical power.
- zooming is achieved by varying the distance between the first and second lens units, and at least a negative lens element and a positive lens element of the lens elements included in the lens units are plastic lens elements that fulfill the following condition:
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end
- ⁇ Pi represents the optical power of the ith plastic lens element
- [0015] hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination a 1 and the height h1, for paraxial tracing, are 0 and 1, respectively.
- an image taking apparatus is composed of a zoom lens system, a photoelectric conversion device, and an optical low-pass filter.
- the photoelectric conversion device has a light sensing surface on which an image is formed by the zoom lens system.
- the optical low-pass filter is disposed on the object side of the photoelectric conversion device.
- the zoom lens system is composed of, from the object side, a first lens unit and a second lens unit.
- the first lens unit is composed of a negative, a negative, and a positive lens element, and has a negative optical power as a whole.
- the second lens unit is composed of a positive, a negative, and a positive lens element, and has a positive optical power as a whole.
- zooming is achieved by varying the distance between the first and second lens units, and at least one of those lens elements is a plastic lens element.
- a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit.
- the first lens unit has a negative optical power.
- the second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power.
- the third lens unit has a positive optical power.
- zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the lens units is a plastic lens element that fulfills the following conditions:
- Cp represents the curvature of the plastic lens element
- HW represents the optical power of the entire zoom lens system at the wide-angle end
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line
- N represents the refractive index of the image-side medium of the aspherical surface for the d line
- M 3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- M 2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- ⁇ T represents the optical power of the entire zoom lens system at the telephoto end.
- a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit.
- the first lens unit is composed of at least a positive and a negative lens element, and has a negative optical power.
- the second and third lens units have a positive optical power.
- zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the first lens unit is a plastic lens element that fulfills the following conditions:
- ⁇ P represents the optical power of the plastic lens element
- ⁇ 1 represents the optical power of the first lens unit
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end
- M 3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- M 2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- ⁇ T represents the optical power of the entire zoom lens system at the telephoto end.
- a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit.
- the first lens unit has a negative optical power.
- the second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power.
- the third lens unit has a positive optical power.
- zooming is achieved by varying the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the second lens unit is a plastic lens element that fulfills the following conditions:
- ⁇ P represents the optical power of the plastic lens element
- ⁇ 2 represents the optical power of the second lens unit
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end.
- a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit.
- the first lens unit has a negative optical power.
- the second and third lens units have a positive optical power.
- zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the third lens unit is a plastic lens element that fulfills the following conditions:
- M 3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- M 2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- ⁇ P represents the optical power of the plastic lens element
- ⁇ 3 represents the optical power of the third lens unit
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end.
- a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit.
- the first lens unit has a negative optical power.
- the second and third lens units have a positive optical power.
- zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the second lens unit are plastic lens elements that fulfill the following conditions:
- ⁇ Pi represents the optical power of the ith plastic lens element
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end
- [0050] hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination ⁇ 1 and the height h1, for paraxial tracing, are 0 and 1, respectively;
- ⁇ 2W represents the lateral magnification of the second lens unit at the wide-angle end
- ⁇ 2T represents the lateral magnification of the second lens unit at the telephoto end
- Z represents the zoom ratio
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit.
- the first lens unit has a negative optical power.
- the second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power.
- the third lens unit has a positive optical power.
- zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the third lens unit are plastic lens elements that fulfill the following conditions:
- ⁇ Pi represents the optical power of the ith plastic lens element
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end
- [0059] hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination a 1 and the height h1, for paraxial tracing, are 0 and 1, respectively;
- ⁇ 3W represents the lateral magnification of the third lens unit at the wide-angle end
- ⁇ 3T represents the lateral magnification of the third lens unit at the telephoto end
- Z represents the zoom ratio
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit.
- the first lens unit has a negative optical power.
- the second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power.
- the third lens unit has a positive optical power.
- zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the second lens unit and at least one of the lens elements included in the third lens unit are plastic lens elements that fulfill the following conditions:
- ⁇ Pi represents the optical power of the ith plastic lens element
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end
- [0068] hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination ⁇ 1 and the height h1, for paraxial tracing, are 0 and 1, respectively;
- ⁇ 2W represents the lateral magnification of the second lens unit at the wide-angle end
- ⁇ 2T represents the lateral magnification of the second lens unit at the telephoto end
- ⁇ 3W represents the lateral magnification of the third lens unit at the wide-angle end
- ⁇ 3T represents the lateral magnification of the third lens unit at the telephoto end
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- FIG. 1 is a lens arrangement diagram of the zoom lens system of a first embodiment (Example 1) of the present invention
- FIG. 2 is a lens arrangement diagram of the zoom lens system of a second embodiment (Example 2) of the present invention.
- FIG. 3 is a lens arrangement diagram of the zoom lens system of a third embodiment (Example 3) of the present invention.
- FIG. 4 is a lens arrangement diagram of the zoom lens system of a fourth embodiment (Example 4) of the present invention.
- FIG. 5 is a lens arrangement diagram of the zoom lens system of a fifth embodiment (Example 5) of the present invention.
- FIGS. 6A to 6 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 1;
- FIGS. 7A to 7 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 2;
- FIGS. 8A to 8 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 3;
- FIGS. 9A to 9 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 4.
- FIGS. 10A to 10 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 5;
- FIG. 11 is a lens arrangement diagram of the zoom lens system of a sixth embodiment (Example 6) of the present invention.
- FIG. 12 is a lens arrangement diagram of the zoom lens system of a seventh embodiment (Example 7) of the present invention.
- FIG. 13 is a lens arrangement diagram of the zoom lens system of an eighth embodiment (Example 8) of the present invention.
- FIG. 14 is a lens arrangement diagram of the zoom lens system of a ninth embodiment (Example 9) of the present invention.
- FIG. 15 is a lens arrangement diagram of the zoom lens system of a tenth embodiment (Example 10) of the present invention.
- FIG. 16 is a lens arrangement diagram of the zoom lens system of an eleventh embodiment (Example 11) of the present invention.
- FIG. 17 is a lens arrangement diagram of the zoom lens system of a twelfth embodiment (Example 12) of the present invention.
- FIG. 18 is a lens arrangement diagram of the zoom lens system of a thirteenth embodiment (Example 13) of the present invention.
- FIG. 19 is a lens arrangement diagram of the zoom lens system of a fourteenth embodiment (Example 14) of the present invention.
- FIGS. 20A to 20 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 6;
- FIGS. 21A to 21 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 7;
- FIGS. 22A to 22 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 8.
- FIGS. 23A to 23 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 9;
- FIGS. 24A to 24 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 10;
- FIGS. 25A to 25 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 11;
- FIGS. 26A to 26 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 12;
- FIGS. 27A to 27 I are graphic representations of the aberrations observed -in an infinite-distance shooting condition in the zoom lens system of the Example 13;
- FIGS. 28A to 28 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of the Example 14;
- FIG. 29 is a lens arrangement diagram of the zoom lens system of a fifteenth embodiment (Example 15) of the present invention.
- FIGS. 30A to 30 I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 15;
- FIG. 31 is a schematic illustration of the optical components of a digital camera.
- FIGS. 1 to 5 are lens arrangement diagrams of the zoom lens systems of a first, a second, a third, a fourth, and a fifth embodiment, respectively.
- the left-hand side corresponds to the object side
- the right-hand side corresponds to the image side.
- arrows schematically indicate the movement of the lens units during zooming from the wide-angle end to the telephoto end.
- each diagram shows the lens arrangement of the zoom lens system during zooming, as observed at the wide-angle end.
- the zoom lens systems of the embodiments are each built as a two-unit zoom lens system of a negative-positive configuration that is composed of, from the object side, a first lens unit Gr 1 and a second lens unit Gr 2 . Both the first and second lens units (Gr 1 and Gr 2 ) are movably disposed in the zoom lens system.
- the first lens unit Gr 1 is composed of, from the object side, a negative lens element, a negative lens element, and a positive lens element and has a negative optical power as a whole.
- the second lens unit Gr 2 is composed of an aperture stop S, a positive lens element, a negative lens element, and a positive lens element and has a positive optical power as a whole.
- the first to sixth lens elements counted from the object side are represented as G 1 to G 6 , respectively.
- a flat plate disposed at the image-side end of the zoom lens system is a low-pass filter LPF. As illustrated in FIG. 31, within a digital camera the low-pass filter LPP is disposed between the zoom lens system ZLS and a photoelectric image sensor is having a light-sensing surface on which an image is formed by the zoom lens system.
- the second and sixth lens elements (G 2 and G 6 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second, third, fifth, and sixth lens elements (G 2 , G 3 , G 5 , and G 6 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second, fifth, and sixth lens elements (G 2 , G 5 , and G 6 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the third and fifth lens elements (G 3 and G 5 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second and sixth lens elements (G 2 and G 6 ) counted from the object side (hatched in the figure) are plastic lens elements.
- ⁇ 1 represents the optical power of the first lens unit
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end.
- Condition (1) defines, in the form of the optical power of the first lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (1) is equal to or less than its lower limit, the optical power of the first lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (1) is equal to or greater than its upper limit, the optical power of the first lens unit is so strong that the total length of the zoom lens system is successfully minimized, but simultaneously the inclination of the image plane toward the over side becomes unduly large. In addition, barrel-shaped distortion becomes unduly large at the wide-angle end.
- ⁇ 2 represents the optical power of the second lens unit.
- Condition (2) defines, in the form of the optical power of the second lens unit, the condition to be fulfilled to achieve, as in Condition (1), proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (2) is equal to or less than its lower limit, the optical power of the second lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (2) is equal to or greater than its upper limit, the optical power of the second lens unit is so strong that the total length of the zoom lens system is successfully minimized, but simultaneously spherical aberration appears notably on the under side.
- ⁇ Pi represents the optical power of the ith plastic lens element
- [0123] hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination ⁇ 1 and the height h1, for paraxial tracing, are 0 and 1, respectively.
- Condition (3) defines, in the form of the sum of the degrees in which the individual plastic lens elements, by their temperature variation, affect the back focal distance, the condition to be fulfilled to suppress variation in the back focal distance resulting from temperature variation.
- a plurality of plastic lens elements it is preferable that positively-powered and negatively-powered lens elements be combined in such a way that the degree in which they affect the back focal distance are canceled out by one another. If the value of Condition (3) is equal to or less than its lower limit, the variation in the back focal distance caused by temperature variation in the negatively-powered plastic lens element becomes unduly great.
- Condition (3) In contrast, if the value of Condition (3) is equal to or greater than its upper limit, the variation in the back focal distance caused by temperature variation in the positively-powered plastic lens element becomes unduly great. Thus, in either case, the zoom lens system needs to be provided with a mechanism that corrects the back focal distance in accordance with temperature variation.
- the zoom lens systems of the embodiments fulfill Condition (4) below.
- ⁇ P represents the optical power of the plastic lens element.
- Condition (4) defines, in the form of the optical power of the plastic lens element included in the first lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (4) is equal to or greater than its upper limit curvature of field, in particular, the curvature of field on the wide-angle side varies too greatly with temperature.
- zoom lens systems of the embodiments fulfill Condition (5) below.
- Condition (5) defines, in the form of the optical power of the plastic lens element included in the second lens unit, the condition to be fulfilled to keep, as in Condition (4), the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (5) is equal to or greater than its upper limit, spherical aberration, in particular, the spherical aberration on the telephoto side, varies too greatly with temperature.
- ⁇ A represents the optical power of the lens unit including the plastic lens element.
- C 0 represents the curvature of the reference spherical surface of the aspherical surface
- N represents the refractive index of the image-side medium of the aspherical surface for the d line
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line
- X represents the deviation of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative);
- X 0 represents the deviation of the reference spherical surface of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative);
- f1 represents the focal length of the first lens unit.
- Condition (7) defines the surface shape of the aspherical surface and assumes that the aspherical surface is so shaped as to weaken the optical power of the first lens unit. Fulfillment of Condition (7) makes it possible to achieve proper correction of the distortion and the image plane on the wide-angle side, in particular. If the value of Condition (7) is equal to or less than its lower limit, positive distortion becomes unduly large on the wide-angle side, in particular, in a close-shooting condition, and simultaneously the inclination of the image plane toward the over side becomes unduly large.
- Condition (7) if the value of Condition (7) is equal to or greater than its upper limit, negative distortion becomes unduly large on the wide-angle side, in particular, in a close-shooting condition, and simultaneously the inclination of the image plane toward the under side becomes unduly large.
- the first lens unit includes a plurality of aspherical surfaces, at least one of those aspherical surfaces needs to fulfill Condition (7) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (7) above, if that is advantageous for the correction of other aberrations.
- f2 represents the focal length of the second lens unit.
- Condition (8) defines the surface shape of the aspherical surface and assumes that the aspherical surface is so shaped as to weaken the optical power of the second lens unit. Fulfillment of Condition (8) makes it possible to achieve proper correction of spherical aberration, in particular. If the value of Condition (8) is equal to or less than its lower limit, in particular, spherical aberration appears notably on the over side at the telephoto end. In contrast, if the value of Condition (8) is equal to or greater than its upper limit, spherical aberration appears notably on the under side at the telephoto end.
- the second lens unit includes a plurality of aspherical surfaces
- at least one of those aspherical surfaces needs to fulfill Condition (8) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (8) above, if that is advantageous for the correction of other aberrations.
- FIGS. 11 to 19 and 29 are lens arrangement diagrams of the zoom lens systems of a sixth, a seventh, an eighth, a ninth, a tenth, an eleventh, a twelfth, a thirteenth, a fourteenth and a fifteenth embodiment, respectively.
- the left-hand side corresponds to the object side
- the right-hand side corresponds to the image side.
- arrows schematically indicate the movement of the lens units during zooming from the wide-angle end to the telephoto end. Note that arrows with a broken line indicate that the lens unit is kept in a fixed position during zooming.
- each diagram shows the lens arrangement of the zoom lens system during zooming, as observed at the wide-angle end.
- the zoom lens systems of the embodiments are each built as a three-unit zoom lens system of a negative-positive-positive configuration that is composed of, from the object side, a first lens unit Gr 1 , a second lens unit Gr 2 , and a third lens unit Gr 3 .
- this zoom lens system at least two lens units are moved during zooming.
- the first lens unit Gr 1 has a negative optical power as a whole.
- the second and third lens units (Gr 2 and Gr 3 ) have a positive optical power as a whole.
- the first to eighth lens elements counted from the object side are represented as G 1 to G 8 , respectively.
- the lens units provided in the zoom lens system of each embodiment are each realized by the use of a plurality of lens elements out of those lens elements G 1 to G 8 .
- the second lens unit Gr 2 includes an aperture stop S. Note that a flat plate disposed at the image-side end of the zoom lens system is a low-pass filter LPF.
- the second and sixth lens elements (G 2 and G 6 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second and seventh lens elements (G 2 and G 7 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the first and seventh lens elements (G 1 and G 7 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second and fifth lens elements (G 2 and G 5 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the first and seventh lens elements (G 1 and G 7 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second and fifth lens elements (G 2 and G 5 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second, fifth, sixth, and seventh lens elements (G 2 , G 5 , G 6 , and G 7 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second, fifth, sixth, seventh, and eighth lens elements (G 2 , G 5 , G 6 , G 7 , and G 8 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the second, sixth, and seventh lens elements (G 2 , G 6 , and G 7 ) counted from the object side (hatched in the figure) are plastic lens elements.
- the first and fifth lens elements (G 1 and G 5 ) are plastic lens elements.
- Cp represents the curvature of the plastic lens element
- ⁇ W represents the optical power of the entire zoom lens system at the wide-angle end
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line
- N represents the refractive index of the image-side medium of the aspherical surface for the d line.
- Condition (9) defines the optical power of the lens surface of the plastic lens element. If the optical power of the lens surface is too strong, the surface shape varies with temperature, with the result that various aberrations become unduly large. If the value of Condition (9) is equal to or less than its lower limit, the negative optical power is too strong. In contrast, if the value of Condition (9) is equal to or greater than its upper limit, the positive optical power is too strong.
- curvature of field varies too greatly with temperature, in particular; in the plastic lens element provided in the second lens unit, spherical aberration varies too greatly with temperature, in particular; and, in the plastic lens element provided in the third lens unit, spherical aberration and the coma aberration in marginal rays vary greatly with temperature, in particular.
- M 3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- M 2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end).
- Condition (10) defines, in the form of the ratio of the amount of movement of the second lens unit to that of the third lens unit, the condition to be fulfilled to keep the amount of movement of the second and third lens units in appropriate ranges in order to achieve zooming efficiently.
- fulfillment of Condition (10) is effective.
- ⁇ T represents the optical power of the entire zoom lens system at the telephoto end.
- Condition (10) If the value of Condition (10) is equal to or less than its lower limit, the responsibility of the third lens unit for zooming is so heavy that spherical aberration and the coma aberration in marginal rays vary too greatly with zooming. In contrast, if the value of Condition (10) is equal to or greater than its upper limit, the amount of the movement of the second lens unit is so large that the diameter of the front-end lens unit needs to be unduly large in order to secure sufficient amount of peripheral light on the wide-angle side, and simultaneously, the responsibility of the second lens unit for zooming is so heavy that spherical aberration varies too greatly with zooming.
- ⁇ P represents the optical power of the plastic lens element
- ⁇ 1 represents the optical power of the first lens unit.
- Condition (11) defines, in the form of the ratio of the optical power of the first lens unit to that of the plastic lens element included in the first lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (11) is equal to or greater than its upper limit, curvature of field, in particular, the curvature of field on the wide-angle side, varies too greatly with temperature. Moreover, to correct the aberrations that occur in the first lens unit, it is preferable to use at least a positive and a negative lens element.
- ⁇ 2 represents the optical power of the second lens unit.
- Condition (12) defines, in the form of the ratio of the optical power of the second lens unit to that of the plastic lens element included in the second lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (12) is equal to or greater than its upper limit, spherical aberration, in particular, the spherical aberration on the telephoto side, varies too greatly with temperature. Moreover, to correct the aberrations that occur in the second lens unit, it is preferable to use at least a positive and a negative lens element.
- ⁇ 3 represents the optical power of the third lens unit.
- Condition (13) defines, in the form of the ratio of the optical power of the third lens unit to that of the plastic lens element included in the third lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (13) is equal to or greater than its upper limit, spherical aberration and the coma aberration in marginal rays vary too greatly with temperature. Moreover, to correct the aberrations that occur in the third lens unit, it is preferable to use at least a positive and a negative lens element.
- ⁇ A represents the optical power of the lens unit including the plastic lens element.
- C 0 represents the curvature of the reference spherical surface of the aspherical surface
- N represents the refractive index of the image-side medium of the aspherical surface for the d line
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line
- X represents the deviation of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative);
- X 0 represents the deviation of the reference spherical surface of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative);
- f1 represents the focal length of the first lens unit.
- Condition (15) If the value of Condition (15) is equal to or less than its lower limit, positive distortion becomes unduly large on the wide-angle side, in particular, in a close-shooting condition, and simultaneously the inclination of the image plane toward the over side becomes unduly large. In contrast, if the value of Condition (15) is equal to or greater than its upper limit, it is impossible to make efficient use of the aspherical surface, which makes the use of an aspherical surface meaningless. As a result, the negative distortion on the wide-angle side, in particular, in a close-shooting condition, and the inclination of the image plane toward the under side are undercorrected.
- the first lens unit includes a plurality of aspherical surfaces
- at least one of those aspherical surfaces needs to fulfill Condition (15) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (15) above, if that is advantageous for the correction of other aberrations.
- f2 represents the focal length of the second lens unit.
- Condition (16) assumes that the aspherical surface is so shaped as to weaken the positive optical power of the second lens unit. Fulfillment of Condition (16) makes it possible to achieve proper correction of spherical aberration, in particular. If the value of Condition (16) is equal to or less than its lower limit, in particular, spherical aberration appears notably on the over side at the telephoto end. In contrast, if the value of Condition (16) is equal to or greater than its upper limit, it is impossible to make efficient use of the aspherical surface, which makes the use of an aspherical surface meaningless. As a result, spherical aberration is undercorrected on the telephoto side, in particular.
- the second lens unit includes a plurality of aspherical surfaces
- at least one of those aspherical surfaces needs to fulfill Condition (16) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (16) above, if that is advantageous for the correction of other aberrations.
- f3 represents the focal length of the third lens unit.
- Condition (17) assumes that the aspherical surface is so shaped as to weaken the positive optical power of the third lens unit. Fulfillment of Condition (17) makes it possible to achieve proper correction of spherical aberration and the coma aberration in marginal rays. If the value of Condition (17) is equal to or less than its lower limit, spherical aberration appears notably on the over side, and simultaneously the coma aberration in marginal rays becomes unduly large. In contrast, if the value of Condition (17) is equal to or greater than its upper limit, it is impossible to make efficient use of the aspherical surface, which makes the use of an aspherical surface meaningless.
- the third lens unit includes a plurality of aspherical surfaces
- at least one of those aspherical surfaces needs to fulfill Condition (17) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (17) above, if that is advantageous for the correction of other aberrations.
- zoom lens systems of the embodiments fulfill Condition (18) below.
- Condition (18) defines, in the form of the optical power of the first lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (18) is equal to or less than its lower limit, the optical power of the first lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large.
- the optical power of the first lens unit is so strong that aberrations become unduly large, in particular, the inclination of the image plane toward the over side becomes unduly large, and simultaneously barrel-shaped distortion becomes unduly large on the wide-angle side.
- the use of a plastic lens element which offers a relatively low refractive index and a strictly restricted range of dispersion, makes it difficult to correct aberrations properly and thus requires more lens elements in the zoom lens system.
- Condition (19) defines, in the form of the optical power of the second lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (19) is equal to or less than its lower limit, the optical power of the second lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (19) is equal to or greater than its upper limit, the optical power of the second lens unit is so strong that aberrations become unduly large, in particular, spherical aberration appears notably on the under side. In this case, the use of a plastic lens element, which offers a relatively low refractive index and a strictly restricted range of dispersion, makes it difficult to correct aberrations properly and thus requires more lens elements in the zoom lens system.
- Condition (20) defines, in the form of the optical power of the third lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (20) is equal to or less than its lower limit, the optical power of the third lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (20) is equal to or greater than its upper limit, the optical power of the third lens unit is so strong that aberrations become unduly large, in particular, spherical aberration appears notably on the under side. In this case, the use of a plastic lens element, which offers a relatively low refractive index and a strictly restricted range of dispersion, makes it difficult to correct aberrations properly and thus requires more lens elements in the zoom lens system.
- Conditions (18) to (20) are equal to or greater than their upper limits, the optical power of the plastic lens element tends to be unduly strong.
- Conditions (11) and (18); (12) and (19); and (13) and (20) be fulfilled at the same time, respectively.
- ⁇ Pi represents the optical power of the ith plastic lens element
- [0215] hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination al and the height h1, for paraxial tracing, are 0 and 1, respectively.
- Condition (21) defines, in the form of the sum of the degrees in which the individual plastic lens elements, by their temperature variation, affect the back focal distance, the condition to be fulfilled to suppress variation in the back focal distance resulting from temperature variation.
- a plurality of plastic lens elements it is preferable that positively-powered and negatively-powered lens elements be combined in such a way that the degree in which they affect the back focal distance are canceled out by one another. If the value of Condition (21) is equal to or less than its lower limit, the variation in the back focal distance caused by temperature variation in the negatively-powered plastic lens element becomes unduly great.
- Condition (21) In contrast, if the value of Condition (21) is equal to or greater than its upper limit, the variation in the back focal distance caused by temperature variation in the positively-powered plastic lens element becomes unduly great. Thus, in either case, the zoom lens system needs to be provided with a mechanism that corrects the back focal distance in accordance with temperature variation.
- ⁇ 2W represents the lateral magnification of the second lens unit at the wide-angle end
- ⁇ 2T represents the lateral magnification of the second lens unit at the telephoto end
- Z represents the zoom ratio
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- the responsibility of the second lens unit for zooming is heavier than that of any other lens unit.
- the heavier the responsibility for zooming the larger the aberrations that accompany zooming.
- Condition (22) defines the responsibility for zooming of the second lens unit, to which the heaviest responsibility for zooming is distributed in a zoom lens system of the types like those of the present invention.
- Condition (22) If the value of Condition (22) is equal to or less than its lower limit, the responsibility of the second lens unit for zooming is so light that the aberrations occurring in the second lens unit can be corrected properly. This, however, affects the responsibility of the other lens units for correcting aberrations, and thus requires more lens elements in those other lens units, with the result that the entire optical system needs to have an unduly large size. In contrast, if the value of Condition (22) is equal to or greater than its upper limit, the responsibility of the second lens unit for zooming is so heavy that spherical aberration varies too greatly with zooming, in particular.
- ⁇ 3W represents the lateral magnification of the third lens unit at the wide-angle end
- ⁇ 3T represents the lateral magnification of the third lens unit at the telephoto end.
- Condition (23) defines the responsibility of the third lens unit for zooming. If the value of Condition (23) is negative, the third lens unit reduces its magnification during zooming. This is disadvantageous from the viewpoint of zooming. In this case, however, by moving the third lens unit during zooming, it is possible to correct the aberrations occurring in the other lens units during zooming. If the value of Condition (23) is equal to or less than its lower limit, the third lens unit reduces its magnification at an unduly high rate during zooming, and thus the resulting loss in magnification needs to be compensated by the other lens units. This requires an unduly large number of lens elements in those other lens units and thus makes the entire optical system unduly long. In contrast, if the value of Condition (23) is equal to or greater than its upper limit, the responsibility of the third lens unit for zooming is so heavy that spherical aberration and coma aberration vary too greatly with zooming.
- the zoom lens systems of the embodiments fulfill Condition (24) below.
- Condition (24) defines the preferable ratio of the responsibility of the second lens unit for zooming to the responsibility of the third lens unit for zooming. If the value of Condition (24) is equal to or less than its lower limit, the third lens unit reduces its magnification, and thus the responsibility of the second lens unit for zooming is excessively heavy. As a result, spherical aberration varies too greatly with zooming. In contrast, if the value of Condition (24) is equal to or greater than its upper limit, the responsibility of the third lens unit for zooming is so heavy that spherical aberration and coma aberration vary too greatly with zooming.
- Tables 1 to 5 list the construction data of Examples 1 to 5, which respectively correspond to the first to fifth embodiments described above and have lens arrangements as shown in FIGS. 1 to 5.
- Tables 6 to 15 list the construction data of Examples 6 to 15, which respectively correspond to the sixth to fifteenth embodiments described above and have lens arrangements as shown in FIGS. 11 to 19 and 29 .
- the values listed for the focal length f and the F number FNO of the, entire zoom lens system in Examples 1 to 5; the distance between the first and second lens units; and the distance between the second lens unit and the low-pass filter LPF are the values at, from left, the wide-angle end (W), the middle-focal-length position (M), and the telephoto end (T).
- the values listed for the focal length f and the F number FNO of the entire zoom lens system in Examples 6 to 15; the distance between the first and second lens units; the distance between the second and third lens units; and the distance between the third lens unit and the low-pass filter LPF are the values at, from left, the wide-angle end (W), the middle-focal-length position (M), and the telephoto end (T).
- W wide-angle end
- M middle-focal-length position
- T telephoto end
- X represents the displacement from the reference surface in the optical axis direction
- Y represents the height in a direction perpendicular to the optical axis
- C represents the paraxial curvature
- ⁇ represents the quadric surface parameter
- a i represents the aspherical coefficient of the ith order.
- FIGS. 6A to 6 I, 7 A to 7 I, 8 A to 8 I, 9 A to 9 I, and 10 A to 10 I show the aberrations observed in the infinite-distance shooting condition in Examples 1 to 5, respectively.
- FIGS. 6A to 6 C, 7 A to 7 C, 8 A to 8 C, 9 A to 9 C, and 10 A to 10 C show the aberrations observed at the wide-angle end [W]
- FIGS. 6D to 6 F, 7 D to 7 F, 8 D to 8 F, 9 D to 9 F, and 10 D to 10 F show the aberrations observed at the middle focal length [M]
- 6G to 6 I, 7 G to 7 I, 8 G to 8 I, 9 G to 9 I, and 10 G to 10 I show the aberrations observed at the telephoto end [T].
- the solid line (d) represents the d line and the broken line (SC) represents the sine condition.
- the solid line (DS) and the broken line (DM) represent the astigmatism on the sagittal plane and on the meridional plane, respectively.
- FIGS. 20A to 20 I, 21 A to 21 I, 22 A to 22 I, 23 A to 23 I, 24 A to 24 I, 25 A to 25 I, 26 A to 26 I, 27 A to 27 I, 28 A to 28 I, and 30 A to 30 I show the aberrations observed in the infinite-distance shooting condition in Examples 6 to 15, respectively.
- FIGS. 20A to 20 C, 21 A to 21 C, 22 A to 22 C, 23 A to 23 C, 24 A to 24 C, 25 A to 25 C, 26 A to 26 C, 27 A to 27 C, 28 A to 28 C, and 30 A to 30 C show the aberrations observed at the wide-angle end [W]; FIGS.
- FIGS. 20G to 20 I, 21 G to 21 I, 22 G to 22 I, 23 G to 23 I, 24 G to 24 I, 25 G to 25 I, 26 G to 26 I, 27 G to 27 I, 28 G to 28 I, and 30 G to 30 I show the aberrations observed at the telephoto end [T].
- the solid line (d) represents the d line
- the broken line (SC) represents the sine condition.
- the solid line (DS) and the broken line (DM) represent the astigmatism on the sagittal plane and on the meridional plane, respectively. In Examples 6 to 15, the conditions mentioned above are fulfilled.
Abstract
A zoom lens system has, from the object side, a first lens unit, a second lens unit and a third lens unit. The first lens unit has a negative optical power as a whole. The second and third lens units have a positive optical power as a whole. In the zoom lens system, zooming is achieved by varying the distance between the first and second lens units, and at least one of the lens elements is a plastic lens element.
Description
- This disclosure is based on applications No. H10-363664 filed in Japan on Dec. 22, 1998 and No. H1 1-005056 filed in Japan on Jan. 12, 1999, the entire contents of which are hereby incorporated by reference.
- 1. Field of the Invention
- The present invention relates to a zoom lens system, and more particularly to a compact and inexpensive zoom lens system particularly suited for use in digital still cameras.
- 2. Description of the Prior Art
- In recent years, as personal computers become more prevalent, digital still cameras that allow easy storage of image data on a recording medium such as a floppy disk have been coming into wider use. This trend has created an increasing demand for more inexpensive digital still cameras. This in turn has created an increasing demand for further cost reduction in imaging optical systems. On the other hand, photoelectric conversion devices have come to have an increasingly large number of pixels year by year, which accordingly demands imaging optical systems that offer higher and higher performance. To comply with such requirements, it is necessary to produce a high-performance imaging optical system at comparatively low cost.
- To achieve this objective, for example, Japanese Laid-open Patent Applications Nos. H1-183615 and H9-311273 propose optical systems having a first lens unit of a negative-negative-positive configuration and a second lens unit of a positive-negative-positive configuration. Moreover, the optical systems proposed in Japanese Laid-open Patent Applications Nos. H7-113956, H6-300969, and H7-63991 have a second lens unit including a doublet lens element formed by cementing together negative lens elements; and the optical system proposed in Japanese Laid-open Patent Application No. H5-93858 has a second lens unit including a doublet lens element formed by cementing together, from the object side, a positive lens element and a negative lens element. If a doublet lens element is considered to be a single lens element, it is assumed that those optical systems are each composed of a first lens unit of a negative-negative-positive configuration and a second lens unit of a positive-negative-positive configuration.
- Furthermore, Japanese Laid-open Patent Applications Nos. H6-201993 and H1-191820 propose optical systems that are composed of a first lens unit having a negative optical power, a second lens unit having a positive optical power, and a third lens unit having a positive optical power and employ a plastic lens element.
- In the optical systems proposed in the above-mentioned patent applications, however, there is still plenty of room for improvement from the viewpoint of miniaturization, high performance, and cost reduction.
- An object of the present invention is to provide a compact, high-resolution, and low-cost zoom lens system suitable, in particular, for use in a digital still camera by arranging plastic lens elements effectively in a two-unit zoom lens system of a negative-positive configuration.
- To achieve the above object, according to one aspect of the present invention, a zoom lens system includes, from the object side, a first lens unit and a second lens unit. The first lens unit is composed of a negative, a negative, and a positive lens element and has a negative optical power as a whole. The second lens unit is composed of a positive, a negative, and a positive lens element and has a positive optical power as a whole. In the zoom lens system, zooming is achieved by varying the distance between the first and second lens units, and at least one of those lens elements is a plastic lens element.
- According to another aspect of the present invention, a zoom lens system includes, from the object side, a first lens unit having a negative optical power and a second lens unit having a positive optical power. In the zoom lens system, zooming is achieved by varying the distance between the first and second lens units, and at least a negative lens element and a positive lens element of the lens elements included in the lens units are plastic lens elements that fulfill the following condition:
- −1.2<φPi/φW×hi<1.2
- where
- φW represents the optical power of the entire zoom lens system at the wide-angle end;
- φPi represents the optical power of the ith plastic lens element; and
- hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination a 1 and the height h1, for paraxial tracing, are 0 and 1, respectively.
- According to another aspect of the present invention, an image taking apparatus is composed of a zoom lens system, a photoelectric conversion device, and an optical low-pass filter. The photoelectric conversion device has a light sensing surface on which an image is formed by the zoom lens system. The optical low-pass filter is disposed on the object side of the photoelectric conversion device. The zoom lens system is composed of, from the object side, a first lens unit and a second lens unit. The first lens unit is composed of a negative, a negative, and a positive lens element, and has a negative optical power as a whole. The second lens unit is composed of a positive, a negative, and a positive lens element, and has a positive optical power as a whole. In the zoom lens system, zooming is achieved by varying the distance between the first and second lens units, and at least one of those lens elements is a plastic lens element.
- According to another aspect of the present invention, a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit. The first lens unit has a negative optical power. The second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power. The third lens unit has a positive optical power. In the zoom lens system, zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the lens units is a plastic lens element that fulfills the following conditions:
- −0.8<Cp×(N′−N)/φW<0.8
- −0.45<M3/M2<0.90(where φT/φW>1.6)
- where
- Cp represents the curvature of the plastic lens element;
- HW represents the optical power of the entire zoom lens system at the wide-angle end;
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line;
- N represents the refractive index of the image-side medium of the aspherical surface for the d line;
- M3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- M2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end); and
- φT represents the optical power of the entire zoom lens system at the telephoto end.
- According to another aspect of the present invention, a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit. The first lens unit is composed of at least a positive and a negative lens element, and has a negative optical power. The second and third lens units have a positive optical power. In the zoom lens system, zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the first lens unit is a plastic lens element that fulfills the following conditions:
- |φP/φ1|<1.20
- 0.20<|φ1/φW|<0.70
- −0.45<M3/M2<0.90(where φT/φW>1.6)
- where
- φP represents the optical power of the plastic lens element;
- φ1 represents the optical power of the first lens unit;
- φW represents the optical power of the entire zoom lens system at the wide-angle end;
- M3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- M2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end); and
- φT represents the optical power of the entire zoom lens system at the telephoto end.
- According to another aspect of the present invention, a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit. The first lens unit has a negative optical power. The second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power. The third lens unit has a positive optical power. In the zoom lens system, zooming is achieved by varying the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the second lens unit is a plastic lens element that fulfills the following conditions:
- |φP/φ2|<2.5
- 0.25<φ2/φW<0.75
- where
- φP represents the optical power of the plastic lens element;
- φ2 represents the optical power of the second lens unit; and
- φW represents the optical power of the entire zoom lens system at the wide-angle end.
- According to another aspect of the present invention, a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit. The first lens unit has a negative optical power. The second and third lens units have a positive optical power. In the zoom lens system, zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the third lens unit is a plastic lens element that fulfills the following conditions:
- −0.30<M3/M2<0.90
- |φP/φ3|<1.70
- 0.1<φ3/φW<0.60
- where
- M3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- M2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end);
- φP represents the optical power of the plastic lens element;
- φ3 represents the optical power of the third lens unit; and
- φW represents the optical power of the entire zoom lens system at the wide-angle end.
- According to another aspect of the present invention, a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit. The first lens unit has a negative optical power. The second and third lens units have a positive optical power. In the zoom lens system, zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the second lens unit are plastic lens elements that fulfill the following conditions:
- −1.4<φPi/W×hi<1.4
- 0.5<log(β2T/β2W)/log Z<2.2
- where
- φPi represents the optical power of the ith plastic lens element;
- φW represents the optical power of the entire zoom lens system at the wide-angle end;
- hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination α1 and the height h1, for paraxial tracing, are 0 and 1, respectively;
- β2W represents the lateral magnification of the second lens unit at the wide-angle end;
- β2T represents the lateral magnification of the second lens unit at the telephoto end;
- Z represents the zoom ratio; and
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- According to another aspect of the present invention, a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit. The first lens unit has a negative optical power. The second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power. The third lens unit has a positive optical power. In the zoom lens system, zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the third lens unit are plastic lens elements that fulfill the following conditions:
- −1.4<φPi/φW×hi<1.4
- −1.2<log(β3T/β3W)/log Z<0.5
- where
- φPi represents the optical power of the ith plastic lens element;
- φW represents the optical power of the entire zoom lens system at the wide-angle end;
- hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination a 1 and the height h1, for paraxial tracing, are 0 and 1, respectively;
- β3W represents the lateral magnification of the third lens unit at the wide-angle end;
- β3T represents the lateral magnification of the third lens unit at the telephoto end;
- Z represents the zoom ratio; and
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- According to still another aspect of the present invention, a zoom lens system is composed of, from the object side, a first lens unit, a second lens unit, and a third lens unit. The first lens unit has a negative optical power. The second lens unit is composed of at least a positive and a negative lens element, and has a positive optical power. The third lens unit has a positive optical power. In the zoom lens system, zooming is achieved by moving at least two lens units so as to vary the distance between the first and second lens units and the distance between the second and third lens units, and at least one of the lens elements included in the second lens unit and at least one of the lens elements included in the third lens unit are plastic lens elements that fulfill the following conditions:
- −1.4<φPi/φW×hi<1.4
- −0.75<log(β3T/β3W)/log(β2T/β2W)<0.65
- where
- φPi represents the optical power of the ith plastic lens element;
- φW represents the optical power of the entire zoom lens system at the wide-angle end;
- hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination α1 and the height h1, for paraxial tracing, are 0 and 1, respectively;
- β2W represents the lateral magnification of the second lens unit at the wide-angle end;
- β2T represents the lateral magnification of the second lens unit at the telephoto end;
- β3W represents the lateral magnification of the third lens unit at the wide-angle end;
- β3T represents the lateral magnification of the third lens unit at the telephoto end; and
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- The objects and features of this invention will become clear from the following description, taken in conjunction with the preferred embodiments with reference to the accompanied drawings in which:
- FIG. 1 is a lens arrangement diagram of the zoom lens system of a first embodiment (Example 1) of the present invention;
- FIG. 2 is a lens arrangement diagram of the zoom lens system of a second embodiment (Example 2) of the present invention;
- FIG. 3 is a lens arrangement diagram of the zoom lens system of a third embodiment (Example 3) of the present invention;
- FIG. 4 is a lens arrangement diagram of the zoom lens system of a fourth embodiment (Example 4) of the present invention;
- FIG. 5 is a lens arrangement diagram of the zoom lens system of a fifth embodiment (Example 5) of the present invention;
- FIGS. 6A to6I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 1;
- FIGS. 7A to7I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 2;
- FIGS. 8A to8I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 3;
- FIGS. 9A to9I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 4;
- FIGS. 10A to10I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 5;
- FIG. 11 is a lens arrangement diagram of the zoom lens system of a sixth embodiment (Example 6) of the present invention;
- FIG. 12 is a lens arrangement diagram of the zoom lens system of a seventh embodiment (Example 7) of the present invention;
- FIG. 13 is a lens arrangement diagram of the zoom lens system of an eighth embodiment (Example 8) of the present invention;
- FIG. 14 is a lens arrangement diagram of the zoom lens system of a ninth embodiment (Example 9) of the present invention;
- FIG. 15 is a lens arrangement diagram of the zoom lens system of a tenth embodiment (Example 10) of the present invention;
- FIG. 16 is a lens arrangement diagram of the zoom lens system of an eleventh embodiment (Example 11) of the present invention;
- FIG. 17 is a lens arrangement diagram of the zoom lens system of a twelfth embodiment (Example 12) of the present invention;
- FIG. 18 is a lens arrangement diagram of the zoom lens system of a thirteenth embodiment (Example 13) of the present invention;
- FIG. 19 is a lens arrangement diagram of the zoom lens system of a fourteenth embodiment (Example 14) of the present invention;
- FIGS. 20A to20I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 6;
- FIGS. 21A to21I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 7;
- FIGS. 22A to22I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 8;
- FIGS. 23A to23I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 9;
- FIGS. 24A to24I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 10;
- FIGS. 25A to25I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 11;
- FIGS. 26A to26I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 12;
- FIGS. 27A to27I are graphic representations of the aberrations observed -in an infinite-distance shooting condition in the zoom lens system of the Example 13;
- FIGS. 28A to28I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of the Example 14;
- FIG. 29 is a lens arrangement diagram of the zoom lens system of a fifteenth embodiment (Example 15) of the present invention;
- FIGS. 30A to30I are graphic representations of the aberrations observed in an infinite-distance shooting condition in the zoom lens system of Example 15; and
- FIG. 31 is a schematic illustration of the optical components of a digital camera.
- Embodiments 1 to 5
- Hereinafter, zoom lens systems embodying the present invention will be described with reference to the drawings. FIGS.1 to 5 are lens arrangement diagrams of the zoom lens systems of a first, a second, a third, a fourth, and a fifth embodiment, respectively. In each diagram, the left-hand side corresponds to the object side, and the right-hand side corresponds to the image side. Note that, in each diagram, arrows schematically indicate the movement of the lens units during zooming from the wide-angle end to the telephoto end. Moreover, each diagram shows the lens arrangement of the zoom lens system during zooming, as observed at the wide-angle end. As shown in these diagrams, the zoom lens systems of the embodiments are each built as a two-unit zoom lens system of a negative-positive configuration that is composed of, from the object side, a first lens unit Gr1 and a second lens unit Gr2. Both the first and second lens units (Gr1 and Gr2) are movably disposed in the zoom lens system.
- The first lens unit Gr1 is composed of, from the object side, a negative lens element, a negative lens element, and a positive lens element and has a negative optical power as a whole. The second lens unit Gr2 is composed of an aperture stop S, a positive lens element, a negative lens element, and a positive lens element and has a positive optical power as a whole. In the zoom lens system, the first to sixth lens elements counted from the object side are represented as G1 to G6, respectively. Note that a flat plate disposed at the image-side end of the zoom lens system is a low-pass filter LPF. As illustrated in FIG. 31, within a digital camera the low-pass filter LPP is disposed between the zoom lens system ZLS and a photoelectric image sensor is having a light-sensing surface on which an image is formed by the zoom lens system.
- As shown in FIG. 1, in the first embodiment, the second and sixth lens elements (G2 and G6) counted from the object side (hatched in the figure) are plastic lens elements. As shown in FIG. 2, in the second embodiment, the second, third, fifth, and sixth lens elements (G2, G3, G5, and G6) counted from the object side (hatched in the figure) are plastic lens elements.
- Moreover, as shown in FIG. 3, in the third embodiment, the second, fifth, and sixth lens elements (G2, G5, and G6) counted from the object side (hatched in the figure) are plastic lens elements. As shown in FIG. 4, in the fourth embodiment, the third and fifth lens elements (G3 and G5) counted from the object side (hatched in the figure) are plastic lens elements. Lastly, as shown in FIG. 5, in the fifth embodiment, the second and sixth lens elements (G2 and G6) counted from the object side (hatched in the figure) are plastic lens elements.
- The conditions to be preferably fulfilled by an optical system will be described below. It is preferable that the zoom lens systems of the embodiments fulfill Condition (1) below.
- 0.25<|φ1/φW51 <0.80 (1)
- where
- φ1 represents the optical power of the first lens unit; and
- φW represents the optical power of the entire zoom lens system at the wide-angle end.
- Condition (1) defines, in the form of the optical power of the first lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (1) is equal to or less than its lower limit, the optical power of the first lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (1) is equal to or greater than its upper limit, the optical power of the first lens unit is so strong that the total length of the zoom lens system is successfully minimized, but simultaneously the inclination of the image plane toward the over side becomes unduly large. In addition, barrel-shaped distortion becomes unduly large at the wide-angle end.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (2) below.
- 0.35<φ2/φW<0.75 (2)
- where
- φ2 represents the optical power of the second lens unit.
- Condition (2) defines, in the form of the optical power of the second lens unit, the condition to be fulfilled to achieve, as in Condition (1), proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (2) is equal to or less than its lower limit, the optical power of the second lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (2) is equal to or greater than its upper limit, the optical power of the second lens unit is so strong that the total length of the zoom lens system is successfully minimized, but simultaneously spherical aberration appears notably on the under side.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (3) below.
- −1.2<φPi/φW×hi<1.2 (3)
- where
- φPi represents the optical power of the ith plastic lens element; and
- hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination α1 and the height h1, for paraxial tracing, are 0 and 1, respectively.
- Condition (3) defines, in the form of the sum of the degrees in which the individual plastic lens elements, by their temperature variation, affect the back focal distance, the condition to be fulfilled to suppress variation in the back focal distance resulting from temperature variation. When a plurality of plastic lens elements are used, it is preferable that positively-powered and negatively-powered lens elements be combined in such a way that the degree in which they affect the back focal distance are canceled out by one another. If the value of Condition (3) is equal to or less than its lower limit, the variation in the back focal distance caused by temperature variation in the negatively-powered plastic lens element becomes unduly great. In contrast, if the value of Condition (3) is equal to or greater than its upper limit, the variation in the back focal distance caused by temperature variation in the positively-powered plastic lens element becomes unduly great. Thus, in either case, the zoom lens system needs to be provided with a mechanism that corrects the back focal distance in accordance with temperature variation.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (4) below.
- |φP/φ1|<1.35 (4)
- where
- φP represents the optical power of the plastic lens element.
- Condition (4) defines, in the form of the optical power of the plastic lens element included in the first lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (4) is equal to or greater than its upper limit curvature of field, in particular, the curvature of field on the wide-angle side varies too greatly with temperature.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (5) below.
- |φP/φ2|<2.15 (5)
- Condition (5) defines, in the form of the optical power of the plastic lens element included in the second lens unit, the condition to be fulfilled to keep, as in Condition (4), the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (5) is equal to or greater than its upper limit, spherical aberration, in particular, the spherical aberration on the telephoto side, varies too greatly with temperature.
- No lower limit is given for Conditions (4) and (5). This is because, as the value of either of the conditions decreases, the optical power of the plastic lens element becomes weaker, and this is desirable in terms of suppression of the variation of aberrations resulting from temperature variation. This, however, has no effect on correction of aberrations under normal temperature, and accordingly makes the use of plastic lenses meaningless. To avoid this, where the plastic lens element fulfills Condition (6) below, it is essential to use an aspherical surface.
- 0≦|φP/φA|<0.45 (6)
- where
- φA represents the optical power of the lens unit including the plastic lens element.
- Note however that this is not to discourage providing an aspherical surface on the lens surface of a plastic lens element having an optical power that makes the value of Condition (6) equal to or greater than its upper limit.
- As described above, if an aspherical surface is used, it is preferable that the following conditions be fulfilled. First, where an aspherical surface is used in the first lens unit, it is preferable that Condition (7) below be fulfilled.
- −0.85<(|X|−|X 0|)/{C 0(N′−N)f1}<−0.05 (7)
- where
- C0 represents the curvature of the reference spherical surface of the aspherical surface;
- N represents the refractive index of the image-side medium of the aspherical surface for the d line;
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line;
- X represents the deviation of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative);
- X0 represents the deviation of the reference spherical surface of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative); and
- f1 represents the focal length of the first lens unit.
- Condition (7) defines the surface shape of the aspherical surface and assumes that the aspherical surface is so shaped as to weaken the optical power of the first lens unit. Fulfillment of Condition (7) makes it possible to achieve proper correction of the distortion and the image plane on the wide-angle side, in particular. If the value of Condition (7) is equal to or less than its lower limit, positive distortion becomes unduly large on the wide-angle side, in particular, in a close-shooting condition, and simultaneously the inclination of the image plane toward the over side becomes unduly large. In contrast, if the value of Condition (7) is equal to or greater than its upper limit, negative distortion becomes unduly large on the wide-angle side, in particular, in a close-shooting condition, and simultaneously the inclination of the image plane toward the under side becomes unduly large. Note that, in a case where the first lens unit includes a plurality of aspherical surfaces, at least one of those aspherical surfaces needs to fulfill Condition (7) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (7) above, if that is advantageous for the correction of other aberrations.
- In a case where an aspherical surface is used in the second lens unit, it is preferable that Condition (8) below be fulfilled.
- −0.95<(|X|−|X 0|)/{C 0(N′−N)f2}<−0.05 (8)
- where
- f2 represents the focal length of the second lens unit.
- Condition (8) defines the surface shape of the aspherical surface and assumes that the aspherical surface is so shaped as to weaken the optical power of the second lens unit. Fulfillment of Condition (8) makes it possible to achieve proper correction of spherical aberration, in particular. If the value of Condition (8) is equal to or less than its lower limit, in particular, spherical aberration appears notably on the over side at the telephoto end. In contrast, if the value of Condition (8) is equal to or greater than its upper limit, spherical aberration appears notably on the under side at the telephoto end. Note that, in a case where the second lens unit includes a plurality of aspherical surfaces, at least one of those aspherical surfaces needs to fulfill Condition (8) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (8) above, if that is advantageous for the correction of other aberrations.
- Embodiments 6 to 15
- FIGS.11 to 19 and 29 are lens arrangement diagrams of the zoom lens systems of a sixth, a seventh, an eighth, a ninth, a tenth, an eleventh, a twelfth, a thirteenth, a fourteenth and a fifteenth embodiment, respectively. In each diagram, the left-hand side corresponds to the object side, and the right-hand side corresponds to the image side. In addition, in each diagram, arrows schematically indicate the movement of the lens units during zooming from the wide-angle end to the telephoto end. Note that arrows with a broken line indicate that the lens unit is kept in a fixed position during zooming. Moreover, each diagram shows the lens arrangement of the zoom lens system during zooming, as observed at the wide-angle end. As shown in these diagrams, the zoom lens systems of the embodiments are each built as a three-unit zoom lens system of a negative-positive-positive configuration that is composed of, from the object side, a first lens unit Gr1, a second lens unit Gr2, and a third lens unit Gr3. In this zoom lens system, at least two lens units are moved during zooming.
- The first lens unit Gr1 has a negative optical power as a whole. The second and third lens units (Gr2 and Gr3) have a positive optical power as a whole. In the zoom lens system, the first to eighth lens elements counted from the object side are represented as G1 to G8, respectively. The lens units provided in the zoom lens system of each embodiment are each realized by the use of a plurality of lens elements out of those lens elements G1 to G8. The second lens unit Gr2 includes an aperture stop S. Note that a flat plate disposed at the image-side end of the zoom lens system is a low-pass filter LPF.
- As shown in FIG. 11, in the sixth embodiment, the second and sixth lens elements (G2 and G6) counted from the object side (hatched in the figure) are plastic lens elements. Moreover, as shown in FIG. 12, in the seventh embodiment, the second and seventh lens elements (G2 and G7) counted from the object side (hatched in the figure) are plastic lens elements.
- As shown in FIG. 13, in the eighth embodiment, the first and seventh lens elements (G1 and G7) counted from the object side (hatched in the figure) are plastic lens elements. Moreover, as shown in FIG. 14, in the ninth embodiment, the second and fifth lens elements (G2 and G5) counted from the object side (hatched in the figure) are plastic lens elements. Furthermore, as shown in FIG. 15, in the tenth embodiment, the first and seventh lens elements (G1 and G7) counted from the object side (hatched in the figure) are plastic lens elements.
- As shown in FIG. 16, in the eleventh embodiment, the second and fifth lens elements (G2 and G5) counted from the object side (hatched in the figure) are plastic lens elements. Moreover, as shown in FIG. 17, in the twelfth embodiment, the second, fifth, sixth, and seventh lens elements (G2, G5, G6, and G7) counted from the object side (hatched in the figure) are plastic lens elements.
- As shown in FIG. 18, in the thirteenth embodiment, the second, fifth, sixth, seventh, and eighth lens elements (G2, G5, G6, G7, and G8) counted from the object side (hatched in the figure) are plastic lens elements. As shown in FIG. 19, in the fourteenth embodiment, the second, sixth, and seventh lens elements (G2, G6, and G7) counted from the object side (hatched in the figure) are plastic lens elements. Referring to FIG. 29, in the fifteenth embodiment, the first and fifth lens elements (G1 and G5) are plastic lens elements.
- The conditions to be preferably fulfilled by an optical system will be described below. It is preferable that the zoom lens systems of the sixth to fifteenth embodiments fulfill Condition (9) below.
- −0.8<Cp×(N′−N)/φW<0.8 (9)
- where
- Cp represents the curvature of the plastic lens element;
- φW represents the optical power of the entire zoom lens system at the wide-angle end;
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line; and
- N represents the refractive index of the image-side medium of the aspherical surface for the d line.
- Condition (9) defines the optical power of the lens surface of the plastic lens element. If the optical power of the lens surface is too strong, the surface shape varies with temperature, with the result that various aberrations become unduly large. If the value of Condition (9) is equal to or less than its lower limit, the negative optical power is too strong. In contrast, if the value of Condition (9) is equal to or greater than its upper limit, the positive optical power is too strong. As a result, in the plastic lens element provided in the first lens unit, curvature of field varies too greatly with temperature, in particular; in the plastic lens element provided in the second lens unit, spherical aberration varies too greatly with temperature, in particular; and, in the plastic lens element provided in the third lens unit, spherical aberration and the coma aberration in marginal rays vary greatly with temperature, in particular.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (10) below.
- −0.45<M3/M2<0.90 (10)
- where
- M3 represents the amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to the wide-angle end); and
- M2 represents the amount of movement of the second lens unit (the direction pointing to the object side is negative with respect to the wide-angle end).
- Condition (10) defines, in the form of the ratio of the amount of movement of the second lens unit to that of the third lens unit, the condition to be fulfilled to keep the amount of movement of the second and third lens units in appropriate ranges in order to achieve zooming efficiently. Thus, in an optical system in which a sufficient zoom ratio needs to be secured, fulfillment of Condition (10) is effective. Moreover, it is more preferable that the following condition be additionally fulfilled.
- φT/φW>1.6
- where
- φT represents the optical power of the entire zoom lens system at the telephoto end.
- If the value of Condition (10) is equal to or less than its lower limit, the responsibility of the third lens unit for zooming is so heavy that spherical aberration and the coma aberration in marginal rays vary too greatly with zooming. In contrast, if the value of Condition (10) is equal to or greater than its upper limit, the amount of the movement of the second lens unit is so large that the diameter of the front-end lens unit needs to be unduly large in order to secure sufficient amount of peripheral light on the wide-angle side, and simultaneously, the responsibility of the second lens unit for zooming is so heavy that spherical aberration varies too greatly with zooming.
- Moreover, where a plastic lens element is used in the third lens unit, the ability of the third lens unit to correct aberrations tends to be insufficient. To avoid this, it is preferable to make the range of Condition (10) narrower so as to obtain the following condition:
- −0.30<M3/M2<0.90 (10)
- In a case where a plastic lens element is used in the first lens unit, it is preferable that Condition (11) below be fulfilled.
- |φP/φ1)φ1|<1.20 (11)
- where
- φP represents the optical power of the plastic lens element; and
- φ1 represents the optical power of the first lens unit.
- Condition (11) defines, in the form of the ratio of the optical power of the first lens unit to that of the plastic lens element included in the first lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (11) is equal to or greater than its upper limit, curvature of field, in particular, the curvature of field on the wide-angle side, varies too greatly with temperature. Moreover, to correct the aberrations that occur in the first lens unit, it is preferable to use at least a positive and a negative lens element.
- In a case where a plastic lens element is used in the second lens unit, it is preferable that Condition (12) below be fulfilled.
- |φP/φ2|<2.5 (12)
- where
- φ2 represents the optical power of the second lens unit.
- Condition (12) defines, in the form of the ratio of the optical power of the second lens unit to that of the plastic lens element included in the second lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (12) is equal to or greater than its upper limit, spherical aberration, in particular, the spherical aberration on the telephoto side, varies too greatly with temperature. Moreover, to correct the aberrations that occur in the second lens unit, it is preferable to use at least a positive and a negative lens element.
- In a case where a plastic lens element is used in the third lens unit, it is preferable that Condition (13) below be fulfilled.
- |φP/φ3|<1.70 (13)
- where
- φ3 represents the optical power of the third lens unit.
- Condition (13) defines, in the form of the ratio of the optical power of the third lens unit to that of the plastic lens element included in the third lens unit, the condition to be fulfilled to keep the variation of aberrations resulting from temperature variation within an appropriate range. If the value of Condition (13) is equal to or greater than its upper limit, spherical aberration and the coma aberration in marginal rays vary too greatly with temperature. Moreover, to correct the aberrations that occur in the third lens unit, it is preferable to use at least a positive and a negative lens element.
- No lower limit is given for Conditions (11) to (13). This is because, as the value of either of the conditions decreases, the optical power of the plastic lens element becomes weaker, and this is desirable in terms of suppression of the variation of aberrations resulting from temperature variation. This, however, has no effect on correction of aberrations under normal temperature, and accordingly makes the use of plastic lenses meaningless. To avoid this, where the plastic lens element fulfills Condition (14) below, it is essential to use an aspherical surface.
- 0≦|φP/φA|<0.45 (14)
- where
- φA represents the optical power of the lens unit including the plastic lens element.
- Note however that this is not to discourage providing an aspherical surface on the lens surface of a plastic lens element having an optical power that makes the value of Condition (14) equal to or greater than its upper limit.
- As described above, if an aspherical surface is used, it is preferable that the following conditions be fulfilled. First, where an aspherical surface is provided on the lens surface of the plastic lens element of the first lens unit, it is preferable that Condition (15) below be fulfilled.
- −1.10<(|X|−|X 0|)/{C 0(N′−N)φ1}<−0.10 (15)
- where
- C0 represents the curvature of the reference spherical surface of the aspherical surface;
- N represents the refractive index of the image-side medium of the aspherical surface for the d line;
- N′ represents the refractive index of the object-side medium of the aspherical surface for the d line;
- X represents the deviation of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative);
- X0 represents the deviation of the reference spherical surface of the aspherical surface along the optical axis at the height in a direction perpendicular to the optical axis (the direction pointing to the object side is negative); and
- f1 represents the focal length of the first lens unit.
- If the value of Condition (15) is equal to or less than its lower limit, positive distortion becomes unduly large on the wide-angle side, in particular, in a close-shooting condition, and simultaneously the inclination of the image plane toward the over side becomes unduly large. In contrast, if the value of Condition (15) is equal to or greater than its upper limit, it is impossible to make efficient use of the aspherical surface, which makes the use of an aspherical surface meaningless. As a result, the negative distortion on the wide-angle side, in particular, in a close-shooting condition, and the inclination of the image plane toward the under side are undercorrected. Note that, in a case where the first lens unit includes a plurality of aspherical surfaces, at least one of those aspherical surfaces needs to fulfill Condition (15) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (15) above, if that is advantageous for the correction of other aberrations.
- In a case where an aspherical surface is provided on the lens surface of the plastic lens element of the second lens unit, it is preferable that Condition (16) below be fulfilled.
- −0.35<(|X|−|X 0|)/{C 0(N′−N)f2}<−0.03 (16)
- where
- f2 represents the focal length of the second lens unit.
- Condition (16) assumes that the aspherical surface is so shaped as to weaken the positive optical power of the second lens unit. Fulfillment of Condition (16) makes it possible to achieve proper correction of spherical aberration, in particular. If the value of Condition (16) is equal to or less than its lower limit, in particular, spherical aberration appears notably on the over side at the telephoto end. In contrast, if the value of Condition (16) is equal to or greater than its upper limit, it is impossible to make efficient use of the aspherical surface, which makes the use of an aspherical surface meaningless. As a result, spherical aberration is undercorrected on the telephoto side, in particular. Note that, in a case where the second lens unit includes a plurality of aspherical surfaces, at least one of those aspherical surfaces needs to fulfill Condition (16) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (16) above, if that is advantageous for the correction of other aberrations.
- In a case where an aspherical surface is provided on the lens surface of the plastic lens element of the third lens unit, it is preferable that Condition (17) below be fulfilled.
- −0.70<(|X|−|X 0|)/{C 0(N′−N)f3}<−0.01 (17)
- where
- f3 represents the focal length of the third lens unit.
- Condition (17) assumes that the aspherical surface is so shaped as to weaken the positive optical power of the third lens unit. Fulfillment of Condition (17) makes it possible to achieve proper correction of spherical aberration and the coma aberration in marginal rays. If the value of Condition (17) is equal to or less than its lower limit, spherical aberration appears notably on the over side, and simultaneously the coma aberration in marginal rays becomes unduly large. In contrast, if the value of Condition (17) is equal to or greater than its upper limit, it is impossible to make efficient use of the aspherical surface, which makes the use of an aspherical surface meaningless. As a result, spherical aberration and the coma aberration in marginal rays are undercorrected. Note that, in a case where the third lens unit includes a plurality of aspherical surfaces, at least one of those aspherical surfaces needs to fulfill Condition (17) above; that is, the other aspherical surfaces do not necessarily have to fulfill Condition (17) above, if that is advantageous for the correction of other aberrations.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (18) below.
- 0.20<|φ1/φW|<0.70 (18)
- Condition (18) defines, in the form of the optical power of the first lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (18) is equal to or less than its lower limit, the optical power of the first lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (18) is equal to or greater than its upper limit, the optical power of the first lens unit is so strong that aberrations become unduly large, in particular, the inclination of the image plane toward the over side becomes unduly large, and simultaneously barrel-shaped distortion becomes unduly large on the wide-angle side. In this case, the use of a plastic lens element, which offers a relatively low refractive index and a strictly restricted range of dispersion, makes it difficult to correct aberrations properly and thus requires more lens elements in the zoom lens system.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (19) below.
- 0.25<φ2/φW<0.75 (19)
- Condition (19) defines, in the form of the optical power of the second lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (19) is equal to or less than its lower limit, the optical power of the second lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (19) is equal to or greater than its upper limit, the optical power of the second lens unit is so strong that aberrations become unduly large, in particular, spherical aberration appears notably on the under side. In this case, the use of a plastic lens element, which offers a relatively low refractive index and a strictly restricted range of dispersion, makes it difficult to correct aberrations properly and thus requires more lens elements in the zoom lens system.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (20) below.
- 0.1<φ3/φW<0.60 (20)
- Condition (20) defines, in the form of the optical power of the third lens unit, the condition to be fulfilled to achieve proper correction of aberrations and keep the size of the zoom lens system appropriate. If the value of Condition (20) is equal to or less than its lower limit, the optical power of the third lens unit is so weak that aberrations can be corrected properly, but simultaneously the total length, as well as the diameter of the front-end lens unit, of the zoom lens system becomes unduly large. In contrast, if the value of Condition (20) is equal to or greater than its upper limit, the optical power of the third lens unit is so strong that aberrations become unduly large, in particular, spherical aberration appears notably on the under side. In this case, the use of a plastic lens element, which offers a relatively low refractive index and a strictly restricted range of dispersion, makes it difficult to correct aberrations properly and thus requires more lens elements in the zoom lens system.
- Moreover, if the values of Conditions (18) to (20) are equal to or greater than their upper limits, the optical power of the plastic lens element tends to be unduly strong. Thus, it is preferable that Conditions (11) and (18); (12) and (19); and (13) and (20) be fulfilled at the same time, respectively.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (21) below.
- −1.4<φPi/φW×hi<1.4 (21)
- where
- φPi represents the optical power of the ith plastic lens element; and
- hi represents the height of incidence at which a paraxial ray enters the object-side surface of the ith plastic lens element at the telephoto end, assuming that the initial values of the converted inclination al and the height h1, for paraxial tracing, are 0 and 1, respectively.
- Condition (21) defines, in the form of the sum of the degrees in which the individual plastic lens elements, by their temperature variation, affect the back focal distance, the condition to be fulfilled to suppress variation in the back focal distance resulting from temperature variation. When a plurality of plastic lens elements are used, it is preferable that positively-powered and negatively-powered lens elements be combined in such a way that the degree in which they affect the back focal distance are canceled out by one another. If the value of Condition (21) is equal to or less than its lower limit, the variation in the back focal distance caused by temperature variation in the negatively-powered plastic lens element becomes unduly great. In contrast, if the value of Condition (21) is equal to or greater than its upper limit, the variation in the back focal distance caused by temperature variation in the positively-powered plastic lens element becomes unduly great. Thus, in either case, the zoom lens system needs to be provided with a mechanism that corrects the back focal distance in accordance with temperature variation.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (22) below.
- 0.5<log(β2T/β2W)/log Z<2.2 (22)
- where
- β2W represents the lateral magnification of the second lens unit at the wide-angle end;
- β2T represents the lateral magnification of the second lens unit at the telephoto end;
- Z represents the zoom ratio; and
- log represents a natural logarithm (since the condition defines a proportion, the base does not matter).
- In a zoom lens system of the types like those of the present invention, the responsibility of the second lens unit for zooming is heavier than that of any other lens unit. The heavier the responsibility for zooming, the larger the aberrations that accompany zooming. Thus, in order to achieve proper correction of aberrations, it is preferable to distribute the responsibility for zooming among a plurality of lens units. Condition (22) defines the responsibility for zooming of the second lens unit, to which the heaviest responsibility for zooming is distributed in a zoom lens system of the types like those of the present invention.
- If the value of Condition (22) is equal to or less than its lower limit, the responsibility of the second lens unit for zooming is so light that the aberrations occurring in the second lens unit can be corrected properly. This, however, affects the responsibility of the other lens units for correcting aberrations, and thus requires more lens elements in those other lens units, with the result that the entire optical system needs to have an unduly large size. In contrast, if the value of Condition (22) is equal to or greater than its upper limit, the responsibility of the second lens unit for zooming is so heavy that spherical aberration varies too greatly with zooming, in particular.
- It is preferable that the zoom lens systems of the embodiments fulfill Condition (23) below.
- −1.2<log(β3T/β3W)/log Z<0.5 (23)
- where
- β3W represents the lateral magnification of the third lens unit at the wide-angle end; and
- β3T represents the lateral magnification of the third lens unit at the telephoto end.
- Condition (23) defines the responsibility of the third lens unit for zooming. If the value of Condition (23) is negative, the third lens unit reduces its magnification during zooming. This is disadvantageous from the viewpoint of zooming. In this case, however, by moving the third lens unit during zooming, it is possible to correct the aberrations occurring in the other lens units during zooming. If the value of Condition (23) is equal to or less than its lower limit, the third lens unit reduces its magnification at an unduly high rate during zooming, and thus the resulting loss in magnification needs to be compensated by the other lens units. This requires an unduly large number of lens elements in those other lens units and thus makes the entire optical system unduly long. In contrast, if the value of Condition (23) is equal to or greater than its upper limit, the responsibility of the third lens unit for zooming is so heavy that spherical aberration and coma aberration vary too greatly with zooming.
- Moreover, it is preferable that the zoom lens systems of the embodiments fulfill Condition (24) below.
- −0.75<log(β3T/B3W)/log(β2T/β2W)<0.65 (24)
- Condition (24) defines the preferable ratio of the responsibility of the second lens unit for zooming to the responsibility of the third lens unit for zooming. If the value of Condition (24) is equal to or less than its lower limit, the third lens unit reduces its magnification, and thus the responsibility of the second lens unit for zooming is excessively heavy. As a result, spherical aberration varies too greatly with zooming. In contrast, if the value of Condition (24) is equal to or greater than its upper limit, the responsibility of the third lens unit for zooming is so heavy that spherical aberration and coma aberration vary too greatly with zooming.
- Hereinafter, examples of zoom lens systems embodying the present invention will be presented with reference to their construction data, graphic representations of aberrations, and other data. Tables 1 to 5 list the construction data of Examples 1 to 5, which respectively correspond to the first to fifth embodiments described above and have lens arrangements as shown in FIGS.1 to 5. Tables 6 to 15 list the construction data of Examples 6 to 15, which respectively correspond to the sixth to fifteenth embodiments described above and have lens arrangements as shown in FIGS. 11 to 19 and 29.
- In the construction data of each example, ri (i =1, 2, 3, . . . ) represents the ith surface counted from the object side and its radius of curvature, di (i=1, 2, 3, . . . ) represents the ith axial distance counted from the object side, and Ni (i=1, 2, 3, . . . ) and ni (i=1, 2, 3, . . . ) respectively represent the refractive index for the d line and the Abbe number of the ith lens element counted from the object side. The values listed for the focal length f and the F number FNO of the, entire zoom lens system in Examples 1 to 5; the distance between the first and second lens units; and the distance between the second lens unit and the low-pass filter LPF are the values at, from left, the wide-angle end (W), the middle-focal-length position (M), and the telephoto end (T).
- Moreover, the values listed for the focal length f and the F number FNO of the entire zoom lens system in Examples 6 to 15; the distance between the first and second lens units; the distance between the second and third lens units; and the distance between the third lens unit and the low-pass filter LPF are the values at, from left, the wide-angle end (W), the middle-focal-length position (M), and the telephoto end (T). Note that, in all of Examples, a surface whose radius of curvature ri is marked with an asterisk (*) is an aspherical surface, whose surface shape is defined by the following formulae.
- X=X 0 +ΣSA i Y i (a)
- X 0 =CY 2/{1+(1−εC 2 Y 2)½} (b)
- where
- X represents the displacement from the reference surface in the optical axis direction;
- Y represents the height in a direction perpendicular to the optical axis;
- C represents the paraxial curvature;
- ε represents the quadric surface parameter; and
- Ai represents the aspherical coefficient of the ith order.
- FIGS. 6A to6I, 7A to 7I, 8A to 8I, 9A to 9I, and 10A to 10I show the aberrations observed in the infinite-distance shooting condition in Examples 1 to 5, respectively. Of these diagrams, FIGS. 6A to 6C, 7A to 7C, 8A to 8C, 9A to 9C, and 10A to 10C show the aberrations observed at the wide-angle end [W]; FIGS. 6D to 6F, 7D to 7F, 8D to 8F, 9D to 9F, and 10D to 10F show the aberrations observed at the middle focal length [M]; and FIGS. 6G to 6I, 7G to 7I, 8G to 8I, 9G to 9I, and 10G to 10I show the aberrations observed at the telephoto end [T]. In the spherical aberration diagrams, the solid line (d) represents the d line and the broken line (SC) represents the sine condition. In the astigmatism diagrams, the solid line (DS) and the broken line (DM) represent the astigmatism on the sagittal plane and on the meridional plane, respectively. In Examples 1 to 5, Conditions (1) to (5) mentioned above are fulfilled.
- FIGS. 20A to20I, 21A to 21I, 22A to 22I, 23A to 23I, 24A to 24I, 25A to 25I, 26A to 26I, 27A to 27I, 28A to 28I, and 30A to 30I show the aberrations observed in the infinite-distance shooting condition in Examples 6 to 15, respectively. Of these diagrams, FIGS. 20A to 20C, 21A to 21C, 22A to 22C, 23A to 23C, 24A to 24C, 25A to 25C, 26A to 26C, 27A to 27C, 28A to 28C, and 30A to 30C show the aberrations observed at the wide-angle end [W]; FIGS. 20D to 20F, 21D to 21F, 22D to 22F, 23D to 23F, 24D to 24F, 25D to 25F, 26D to 26F, 27D to 27F, 28D to 28F, and 30D and 30F show the aberrations observed at the middle focal length [M]; and FIGS. 20G to 20I, 21G to 21I, 22G to 22I, 23G to 23I, 24G to 24I, 25G to 25I, 26G to 26I, 27G to 27I, 28G to 28I, and 30G to 30I show the aberrations observed at the telephoto end [T]. In the spherical aberration diagrams, the solid line (d) represents the d line and the broken line (SC) represents the sine condition. In the astigmatism diagrams, the solid line (DS) and the broken line (DM) represent the astigmatism on the sagittal plane and on the meridional plane, respectively. In Examples 6 to 15, the conditions mentioned above are fulfilled.
- The variables used in Conditions (1) to (5) in Examples 1 to 5 are listed in Table 16.
- The values corresponding to Conditions (1) to (5) in Examples 1 to 5 are listed in Table 17.
- The values corresponding to Conditions (9) to (13) and (18) to (24) in Examples 6 to 15 are listed in Table 18.
- The values corresponding to Conditions (7) and (8) to be fulfilled by the aspherical surface in Examples 1 to 5 are listed in Table 19. Note that Y represents the maximum height of the optical path on the aspherical surface.
- The values corresponding to Conditions (15) to (17) to be fulfilled by the aspherical surface in Examples 6 to 15 are listed in Table 20. Note that Y represents the maximum height of the optical path on the aspherical surface.
TABLE 1 Construction Data of Example 1 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.96 mm 3.24 mm 3.6 mm (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 11.333 d1 = 0.779 N1 = 1.85000 ν1 = 40.04 r2 = 6.007 d2 = 1.940 r3* = 17.418 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 6.396 d4 = 1.895 r5 = 7.432 d5 = 1.763 N3 = 1.84666 ν3 = 23.82 r6 = 10.246 d6 = 13.009 6.374 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 5.989 d8 = 1.829 N4 = 1.75450 ν4 = 51.57 r9 = −125.715 d9 = 1.268 r10 = −12.153 d10 = 0.635 N5 = 1.75000 ν5 = 25.14 r11 = 9.023 d11 = 0.447 r12* = 13.010 d12 = 2.293 N6 = 1.52510 ν6 = 56.38 r13 = −6.778 d13 = 1.000 2.559 4.786 r14 = ∞ d14 = 3.400 N7 = 1.54426 ν7 = 69.60 r15 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.21447 × 10−3 A6 = 0.50169 × 10−5 A8 = 0.14584 × 10−6 [Aspherical Coefficients of 12th Surface (r12)] ε = 0.10000 × 10 A4 = −0.20572 × 10−2 A6 = −0.42994 × 10−5 A8 = −0.32617 × 10−5 -
TABLE 2 Construction Data of Example 2 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.96 mm 3.24 mm 3.6 mm (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 14.260 d1 = 0.650 N1 = 1.53359 ν1 = 64.66 r2 = 6.334 d2 = 2.341 r3* = 24.115 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 5.871 d4 = 1.561 r5 = 6.894 d5 = 2.091 N3 = 1.58340 ν3 = 30.23 r6 = 13.124 d6 = 14.102 6.837 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 5.164 d8 = 2.262 N4 = 1.61555 ν4 = 57.97 r9 = −9.593 d9 = 0.479 r10* = −5.666 d10 = 1.472 N5 = 1.58340 ν5 = 30.23 r11 = 9.833 d11 = 0.604 r12* = 22.822 d12 = 1.943 N6 = 1.52510 ν6 = 56.38 r13 = −8.802 d13 = 1.000 2.422 4.454 r14 = ∞ d14 = 3.400 N7 = 1.54426 ν7 = 69.60 r15 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.16907 × 10−3 A6 = 0.35415 × 10−5 A8 = 0.80238 × 10−7 [Aspherical Coefficients of 10th Surface (r10)] ε = 0.10000 × 10 A4 = 0.79103 × 10−3 A6 = 0.24186 × 10−4 A8 = 0.30525 × 10−5 [Aspherical Coefficients of 12th Surface (r12)] ε = 0.10000 × 10 A4 = −0.25573 × 10−2 A6 = −0.15034 × 10−5 A8 = −0.18614 × 10−4 -
TABLE 3 Construction Data of Example 3 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.96 mm 3.24 mm 3.6 mm (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 11.551 d1 = 1.213 N1 = 1.75450 ν1 = 51.57 r2 = 6.152 d2 = 2.230 r3* = 21.819 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 6.113 d4 = 1.835 r5 = 7.256 d5 = 2.216 N3 = 1.69961 ν3 = 26.60 r6 = 11.287 d6 = 13.126 6.424 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 5.207 d8 = 2.259 N4 = 1.61213 ν4 = 58.19 r9 = −9.240 d9 = 0.467 r10* = −5.774 d10 = 1.430 N5 = 1.58340 ν5 = 30.23 r11 = 9.548 d11 = 0.601 r12* = 22.409 d12 = 1.984 N6 = 1.52510 ν6 = 56.38 r13 = −8.485 d13 = 1.000 2.495 4.630 r14 = ∞ d14 = 3.400 N7 = 1.54426 ν7 = 69.60 r15 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.19262 × 10−3 A6 = 0.34894 × 10−5 A8 = 0.12515 × 10−6 [Aspherical Coefficients of 10th Surface (r10)] ε = 0.10000 × 10 A4 = 0.43913 × 10−3 A6 = 0.33312 × 10−4 A8 = 0.24577 × 10−5 [Aspherical Coefficients of 12th Surface (r12)] ε = 0.10000 × 10 A4 = −0.22305 × 10−2 A6 = −0.11486 × 10−4 A8 = −0.15332 × 10−4 -
TABLE 4 Construction Data of Example 4 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.9 mm 3.25 mm 3.6 mm (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 13.912 d1 = 1.500 N1 = 1.75450 ν1 = 51.57 r2 = 6.626 d2 = 2.111 r3 = 25.350 d3 = 1.000 N2 = 1.75450 ν2 = 51.57 r4 = 7.001 d4 = 0.893 r5* = 14.283 d5 = 4.843 N3 = 1.58340 ν3 = 30.23 r6* = −45.283 d6 = 15.765 7.542 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 5.964 d8 = 4.216 N4 = 1.65656 ν4 = 55.63 r9 = −7.373 d9 = 0.208 r10 = −6.131 d10 = 1.300 N5 = 1.58340 ν5 = 30.23 r11* = 9.768 d11 = 2.852 r12 = −77.516 d12 = 1.708 N6 = 1.52200 ν6 = 65.93 r13 = −8.818 d13 = 1.000 2.668 5.052 r14 = ∞ d14 = 3.400 N7 = 1.54426 ν7 = 69.60 r15 = ∞ [Aspherical Coefficients of 5th Surface (r5)] ε = 0.10000 × 10 A4 = 0.90348 × 10−4 A6 = 0.13458 × 10−5 A8 = 0.14476 × 10−6 [Aspherical Coefficients of 6th Surface (r6)] ε = 0.10000 × 10 A4 = −0.32219 × 10−3 A6 = −0.25483 × 10−5 A8 = −0.86784 × 10−7 [Aspherical Coefficients of 11th Surface (r11)] ε = 0.10000 × 10 A4 = 0.20489 × 10−2 A6 = 0.27321 × 10−4 A8 = 0.40971 × 10−5 A10 = −0.20451 × 10−6 -
TABLE 5 Construction Data of Example 5 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 3.18 mm 3.55 mm 4.08 mm (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 10.456 d1= 2.128 N1 = 1.85000 ν1 = 40.04 r2 = 3.870 d2 = 2.166 r3* = 16.226 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 6.827 d4 = 1.322 r5 = 8.144 d5 = 1.514 N3 = 1.83350 ν3 = 21.00 r6 = 13.791 d6 = 8.994 4.674 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 5.950 d8 = 1.897 N4 = 1.74989 ν4 = 51.73 r9 = −43.969 d9 = 1.242 r10 = −11.144 d10 = 0.753 N5 = 1.84714 ν5 = 25.28 r11 = 10.245 d11 = 0.400 r12* = 12.590 d12 = 2.297 N6 = 1.52510 ν6 = 56.38 r13 = −6.634 d13 = 1.000 3.314 6.620 r14 = ∞ d14 = 3.400 N7 = 1.54426 ν7 = 69.60 r15 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.13045 × 10−2 A6 = 0.11643 × 10−4 A8 = 0.51406 × 10−5 [Aspherical Coefficients of 12th Surface (r12)] ε = 0.10000 × 10 A4 = −0.22747 × 10−2 A6 = −0.36716 × 10−5 A8 = −0.32887 × 10−6 -
TABLE 6 Construction Data of Example 6 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.74 3.11 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 13.380 d1 = 0.650 N1 = 1.75450 ν1 = 51.57 r2 = 5.890 d2 = 1.499 r3* = 12.328 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 5.632 d4 = 1.632 r5 = 7.068 d5 = 1.753 N3 = 1.84777 ν3 = 27.54 r6 = 10.246 d6 = 10.406 5.264 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 5.643 d8 = 1.901 N4 = 1.79073 ν4 = 46.15 r9 = −74.805 d9 = 0.921 r10 = −12.842 d10 = 0.600 N5 = 1.72145 ν5 = 25.50 r11 = 5.928 d11 = 0.400 r12* = 11.144 d12 = 2.170 N6 = 1.52510 ν6 = 56.38 r13 = −9.099 d13 = 1.000 3.519 7.154 r14 = 11.107 d14 = 3.164 N7 = 1.51680 ν7 = 64.20 r15 = 56.703 d15 = 0.796 r16 = ∞ d16 = 3.400 N8 = 1.54426 ν8 = 69.60 r17 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.38905 × 10−3 A6 = 0.24379 × 10−5 A8 = 0.38282 × 10−6 [Aspherical Coefficients of 12th Surface (r12)] ε = 0.10000 × 10 A4 = −0.13386 × 10−2 A6 = −0.11975 × 10−4 A8 = −0.53773 × 10−5 -
TABLE 7 Construction Data of Example 7 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.73 3.10 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 14.718 d1 = 0.650 N1 = 1.75450 ν1 = 51.57 r2 = 6.639 d2 = 1.307 r3* = 11.594 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 5.294 d4 = 1.465 r5 = 6.937 d5 = 1.858 N3 = 1.84759 ν3 = 26.85 r6 = 10.034 d6 = 10.621 5.340 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 6.969 d8 = 2.905 N4 = 1.85000 ν4 = 40.04 r9 = −11.743 d9 = 0.210 r10 = −8.399 d10 = 1.855 N5 = 1.72131 ν5 = 25.51 r11 = 5.522 d11 = 0.400 r12 = 11.032 d12 = 2.012 N6 = 1.75450 ν6 = 51.57 r13 = −21.657 d13 = 1.000 3.398 6.919 r14* = 8.536 d14 = 3.241 N7 = 1.52510 ν7 = 56.38 r15 = 29.006 d15 = 0.676 r16 = ∞ d16 = 3.400 N8 = 1.54426 ν8 = 69.60 r17 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.35342 × 10−3 A6 = 0.71258 × 10−6 A8 = 0.33647 × 10−6 [Aspherical Coefficients of 14th Surface (r14)] ε = 0.10000 × 10 A4 = −0.23473 × 10−3 A6 = 0.43912 × 10−5 A8 = 0.10409 × 10−6 -
TABLE 8 Construction Data of Example 8 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.75 3.10 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1* = 14.652 d1 = 1.200 N1 = 1.58340 ν1 = 30.23 r2 = 8.289 d2 = 1.623 r3 = 26.068 d3 = 0.900 N2 = 1.79271 ν2 = 45.90 r4 = 5.496 d4 = 1.179 r5 = 7.356 d5 = 1.921 N3 = 1.84666 ν3 = 23.82 r6 = 15.373 d6 = 10.224 5.176 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 7.124 d8 = 3.411 N4 = 1.85000 ν4 = 40.04 r9 = −11.538 d9 = 0.154 r10 = −8.339 d10 = 1.713 N5 = 1.72418 ν5 = 25.37 r11 = 5.686 d11 = 0.401 r12 = 10.731 d12 = 2.078 N6 = 1.75450 ν6 = 51.57 r13 = −18.326 d13 = 1.000 3.307 6.708 r14* = 8.148 d14 = 3.002 N7 = 1.52510 ν7 = 56.38 r15 = 16.995 d15 = 0.795 r16 = ∞ d16 = 3.400 N8 = 1.54426 ν8 = 69.60 r17 = ∞ [Aspherical Coefficients of 1st Surface (r1)] ε = 0.10000 × 10 A4 = 0.15951 × 10−3 A6 = 0.14779 × 10−6 A8 = 0.56026 × 10−7 [Aspherical Coefficients of 14th Surface (r14)] ε = 0.10000 × 10 A4 = −0.27776 × 10−3 A6 = 0.23365 × 10−5 A8 = 0.19731 × 10−6 -
TABLE 9 Construction Data of Example 9 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of tile Entire Optical System) FNO = 2.73 3.10 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 52.355 d1 = 1.100 N1 = 1.72677 ν1 = 52.55 r2 = 6.927 d2 = 3.324 r3* = 23.902 d3 = 1.940 N2 = 1.58340 ν2 = 30.23 r4 = −100.448 d4 = 14.827 7.138 1.500 r5 = ∞ (Aperture Stop) d5 = 1.500 r6 = 5.036 d6 = 3.339 N3 = 1.77742 ν3 = 47.95 r7 = −12.586 d7 = 0.234 r8 = −10.396 d8 = 0.800 N4 = 1.79850 ν4 = 22.60 r9 = 16.524 d9 = 0.740 r10 = −7.142 d10 = 1.200 N5 = 1.58340 ν5 = 30.23 r11* = −26.834 d11 = 1.000 2.921 5.663 r12 = 15.086 d12 = 2.096 N6 = 1.48749 ν6 = 70.44 r13 = −14.941 d13 = 0.500 r14 = ∞ d14 = 3.400 N7 = 1.54426 ν7 = 69.60 r15 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.24908 × 10−3 A6 = −0.62198 × 10−7 A8 = 0.10295 × 10−6 [Aspherical Coefficients of 11th Surface (r11)] ε = 0.10000 × 10 A4 = 0.39625 × 10−2 A6 = 0.16585 × 10−3 A8 = 0.13563 × 10−4 -
TABLE 10 Construction Data of Example 10 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.75 3.11 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1* = 17.928 d1 = 1.200 N1 = 1.58340 ν1 = 30.23 r2 = 9.608 d2 = 1.325 r3 = 19.410 d3 = 0.900 N2 = 1.80280 ν2 = 44.68 r4 = 5.204 d4 = 1.288 r5 = 7.294 d5 = 1.940 N3 = 1.84666 ν3 = 23.82 r6 = 14.586 d6 = 10.102 5.348 1.500 r7 = ∞ (Aperture Stop) d7 = 1.500 r8 = 6.594 d8 = 4.206 N4 = 1.81063 ν4 = 43.80 r9 = −10.411 d9 = 0.208 r10 = −7.270 d10 = 0.600 N5= 1.70098 ν5 = 26.53 r11 = 5.447 d11 = 0.504 r12 = 10.684 d12 = 2.062 N6 = 1.75450 ν6 = 51.57 r13 = −20.769 d13 = 1.000 3.880 6.996 r14* = 6.351 d14 = 2.209 N7 = 1.52510 ν7 = 56.38 r15 = 12.184 d15 = 1.055 0.800 1.067 r16 = ∞ d16 = 3.400 N8 = 1.54426 ν8 = 69.60 r17 = ∞ [Aspherical Coefficients of 1st Surface (r1)] ε = 0.10000 × 10 A4 = 0.19398 × 10−3 A6 = 0.47895 × 10−6 A8 = 0.46069 × 10−7 [Aspherical Coefficients of 14th Surface (r14)] ε = 0.10000 × 10 A4 = −0.37579 × 10−3 A6 = −0.11089 × 10−5 A8 = 0.87379 × 10−7 -
TABLE 11 Construction Data of Example 11 f = 5.4 mm 7.5 mm 10.5 mm (Focal Length of the Entire Optical System) FNO = 2.97 3.27 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = −112.214 d1 = 1.200 N1 = 1.63347 ν1 = 56.87 r2 = 7.682 d2 = 1.473 r3* = 17.799 d3 = 2.175 N2 = 1.58340 ν2 = 30.23 r4 = 274.206 d4 = 16.482 8.078 1.500 r5 = ∞(Aperture Stop) d5 = 1.500 r6 = 5.066 d6 = 2.164 N3 = 1.84746 ν4 = 40.25 r7 = −15.255 d7 = 0.208 r8 = −13.752 d8 = 0.800 N4 = 1.79850 ν5 = 22.60 r9 = 7.640 d9 = 0.352 r10* = 8.419 d10 = 1.200 N5 = 1.58340 ν6 = 30.23 r11 = 4.700 d11 = 1.000 1.802 2.808 r12 = 40.534 d12 = 2.262 N6 = 1.51838 ν7 = 66.35 r13 * = −6.756 d13 = 1.131 2.007 3.472 r14 = ∞ d14 = 3.400 N7 = 1.54426 ν8 = 69.60 r15 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.24372 × 10−3 A6 = −0.10309 × 10−6 A8 = 0.84837 × 10−7 [Aspherical Coefficients of 10th Surface (r10)] ε = 0.10000 × 10 A4 = −0.35107 × 10−2 A6 = −0.17279 × 10−3 A8 = −0.80824 × 10−5 [Aspherical Coefficients of 13th Surface (r13)] ε = 0.10000 × 10 A4 = 0.11613 × 10−3 A6 = −0.34635 × 10−4 A8 = 0.66386 × 10−6 -
TABLE 12 Construction Data of Example 12 f = 5.4 mm 8.0 mm 12.0 mm (Focal Length of the Entire Optical System) FNO = 2.55 2.95 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 64.355 d1 = 0.650 N1 = 1.48749 ν1 = 70.44 r2 = 9.616 d2 = 1.136 r3* = 15.072 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 6.352 d4 = 1.939 r5 = 8.584 d5 = 2.060 N3 = 1.84877 ν3 = 32.01 r6 = 12.547 d6 = 15.531 7.207 1.500 r7 = ∞Aperture Stop) d7 = 1.500 r8 = 5.666 d8 = 3.346 N4 = 1.75450 ν4 = 51.57 r9 = −8.847 d9 = 0.100 r10 = −7.390 d10 = 0.600 N5 = 1.58340 ν5 = 30.23 r11 = 4.818 d11 = 0.400 r12* = 6.048 d12 = 2.459 N6 = 1.52510 ν6 = 56.38 r13 = 9.906 d13 = 1.000 3.334 6.995 r14 = 11.941 d14 = 1.979 N7 = 1.52510 ν7 = 56.38 r15* = −29.235 d15 = 0.500 r16 = ∞ d16 = 3.400 N8 = 1.54426 ν8 = 69.60 r17 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.17978 × 10−3 A6 = −0.30828 × 10−6 A8 = 0.71904 × 10−7 [Aspherical Coefficients of 12th Surface (r12)] ε 0.10000 × 10 A4 = −0.18066 × 10−2 A6 = −0.54257 × 10−4 A8 = −0.76508 × 10−5 [Aspherical Coefficients of 15th Surface (r15)] ε = 0.10000 × 10 A4 = 0.29756 × 10−3 A6 = −0.62953 × 10−5 A8 = −0.77785 × 10−7 -
TABLE 13 Construction Data of Example 13 f = 5.4 mm 8.8 mm 14.0mm (Focal Length of the Entire Optical System) FNO = 2.34 2.84 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 25.623 d1 = 0.650 N1 = 1.48749 ν1 = 70.44 r2 = 9.290 d2 = 1.626 r3* = 19.577 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 5.973 d4 = 2.273 r5 = 7.949 d5 = 2.008 N3 = 1.84807 ν3 = 28.75 r6 = 10.541 d6 = 16.801 7.154 1.500 r7 = ∞(Aperture Stop) d7 = 1.500 r8 = 5.107 d8 = 2.743 N4 = 1.64626 ν4 = 56.17 r9 = −9.178 d9 = 0.100 r10 = −8.533 d10 = 0.600 N5 = 1.58340 ν5 = 30.23 r11 = 7.962 d11 = 0.849 r12* = 7.572 d12 = 1.401 N6 = 1.52510 ν6 = 56.38 r13 = 8.290 d13 = 1.000 4.278 9.371 r14* = 9.062 d14 = 1.423 N7 = 1.58340 ν7 = 30.23 r15 = 6.924 d15 = 0.747 r16 = 11.941 d16 = 1.979 N8 = 1.52510 ν8 = 56.38 r17* = −29.488 d17 = 0.500 r18 = ∞ d18 = 3.400 N9 = 1.54426 ν9 = 69.60 r19 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.16055 × 10−3 A6 = 0.48397 × 10−7 A8 = 0.67121 × 10−7 [Aspherical Coefficients of 12th Surface (r12)] ε = 0.10000 × 10 A4 = −0.25048 × 10−2 A6 = −0.87701 × 10−4 A8 = −0.12082 × 10−4 [Aspherical Coefficients of 14th Surface (r14)] ε = 0.10000 × 10 A4 = −0.52484 × 1031 3 A6 = 0.58442 × 10−5 A8 = 0.87159 × 10−8 [Aspherical Coefficients of 17th Surface (r17)] ε = 0.10000 × 10 A4 = −0.91828 × 10−3 A6 = −0.59033 × 10−5 A8 = 0.27335 × 10−6 -
TABLE 14 Construction Data of Example 14 f = 5.4 mm 7.5 mm 13.5 mm (Focal Length of the Entire Optical System) FNO = 2.08 2.48 3.60 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 14.018 d1 = 0.650 N1 = 1.74388 ν1 = 51.93 r2 = 6.286 d2 = 1.790 r3* = 17.191 d3 = 1.400 N2 = 1.52510 ν2 = 56.38 r4 = 5.770 d4 = 0.907 r5 = 6.726 d5 = 1.953 N3 = 1.84666 ν3 = 23.82 r6 = 10.531 d6 = 9.731 5.843 1.500 r7 = ∞(Aperture Stop) d7 = 1.500 r8 = 6.489 d8 = 1.774 N4 = 1.85000 ν4 = 40.04 r9 = 52.968 d9 = 0.665 r10 = −31.304 d10 = 0.600 N5 = 1.77185 ν5 = 23.46 r11 = 6.642 d11 = 0.400 r12* = 11.190 d12 = 2.101 N6 = 1.52510 ν6 = 56.38 r13 = −9.334 d13 = 1.000 5.310 15.247 r14 = −10.861 d14 = 1.200 N7 = 1.58340 ν7 = 30.23 r15* = 16.708 d15 = 0.100 r16 = 12.354 d16 = 2.934 N8 = 1.84353 ν8 = 40.59 r17 = −10.876 d17 = 2.914 2.385 0.717 r18 = ∞ d18 = 3.400 N9 = 1.54426 ν9 = 69.60 r19 = ∞ [Aspherical Coefficients of 3rd Surface (r3)] ε = 0.10000 × 10 A4 = 0.28799 × 10−3 A6 = 0.40089 × 10−5 A8 = 0.14823 × 10−6 [Aspherical Coefficients of 12th Surface (r12)] ε = 0.10000 × 10 A4 = −0.62816 × 10−3 A6 = −0.22891 × 10−4 A8 = 0.42945 × 10−6 [Aspherical Coefficients of 15th Surface (r15)] ε = 0.10000 × 10 A4 = 0.60130 × 10−3 A6 = −0.42374 × 10−5 A8 = 0.11268 × 10−7 -
TABLE 15 Construction Data of Example 15 f = 5.4 mm 8.4 mm 15.6 mm (Focal Length of the Entire Optical System) FNO = 2.57 3.04 4.20 (F numbers) Radius of Axial Refractive Abbe Curvature Distance Index (Nd) Number (d) r1 = 34.564 d1 = 1.600 N1 = 1.52510 ν1 = 56.38 r2 = 7.185 d2 = 3.500 r3* = 10.666 d3 = 2.344 N2 = 1.75000 ν2 = 25.14 r4 = 17.516 d4 = 22.572 11.179 1.713 r5 = ∞ d5 = 1.500 r6 = 8.000 d6 = 2.941 N3 = 1.80420 ν3 = 46.50 r7 = −8.598 d7 = 0.010 N4 = 1.51400 ν4 = 42.83 r8 = −8.598 d8 = 0.600 N5 = 1.70055 ν5 = 30.11 r9 = 8.182 d9 = 0.200 r10* = 5.244 d10 = 3.249 N6 = 1.52510 ν6 = 56.38 r11* = 6.000 d11 = 2.740 5.844 13.277 r12 = 21.195 d12 = 2.000 N7 = 1.48749 ν7 = 70.44 r13 = −16.672 d13 = 1.086 r14 = ∞ d14 = 3.400 N8 = 1.51680 ν8 = 64.20 r15 = ∞ [Aspherical Coefficients of 3rd Surface (r1)] ε = 0.10000 × 10 A4 = 0.43400 × 10−3 A6 = −0.55461 × 10−5 A8 = 0.27915 × 10−7 [Aspherical Coefficients of 12th Surface (r2)] ε = 0.10000 × 10 A4 = 0.26861 × 10−3 A6 = 0.25040 × 10−5 A8 = 0.23353 × 10−6 [Aspherical Coefficients of 15th Surface (r10)] ε = 0.10000 × 10 A4 = −0.30306 × 10−3 A6 = −0.13415 × 10−4 A8 = −0.19911 × 10−5 [Aspherical Coefficients of 15th Surface (r11] ε = 0.10000 × 10 A4 = 0.19342 × 10−2 A6 = 0.59893 × 10−4 A8 = −0.42081 × 10−5 -
TABLE 16 The variables used in Conditions (1) to (5) in Examples 1 to 5 φ1 φ2 φW Example 1 0.076171 0.102604 0.185185 φPi hi φPi/φW × hi Sum Example 1 G2: −0.04968 1.088763 −0.292107 G6: 0.11313 1.264821 0.7726821 0.480575 φ1 φ2 φW Example 2 0.069512 0.102665 0.185162 φPi hi φPi/φW × hi Sum Example 2 G2: −0.06587 1.090648 −0.387944 G3: 0.045137 1.299594 0.3167591 G5: −0.16797 1.270288 −1.152222 G6: 0.080916 1.2079 0.5277862 −0.69562 φ1 φ2 φW Example 3 0.07421 0.104252 0.185186 φPi hi φPi/φW × hi Sum Example 3 G2: −0.05994 1.070319 −0.346422 G3: −0.16771 1.288669 −1.167062 G5: 0.083429 1.23342 0.555676 −0.95781 φ1 φ2 Example 4 0.070779 0.089085 0.185184 φPi hi φPi/φW × hi Sum Example 4 G3: 0.05212 1.068396 0.3006979 G5: −0.15954 1.348671 −1.161906 −0.86121 φ1 φ2 φW Example 5 0.115 0.104369 0.185185 φPi hi φPi/φW × hi Sum Example 5 G2: −0.04227 1.161585 −0.265113 G6: 0.11589 1.553375 0.9721086 0.706996 -
TABLE 17 The values corresponding to Conditions (1) to (5) in Examples 1 to 5 |φ1/φ2| φ2/φW |φP/φ1| |φP/φ2| ΕφPi/φW × hi Example 1 0.41 0.55 G2: 0.65 G6: 1.10 0.48 Example 2 0.38 0.55 G2: 0.95 G5: 1.64 −0.70 G3: 0.65 G6: 0.79 Example 3 0.40 0.56 G2: 0.81 G5: 1.61 −0.96 G6: 0.80 Example 4 0.38 0.48 G3: 0.74 G5: 1.79 −0.86 Example 5 0.62 0.56 G2: 0.37 G6: 1.11 0.71 -
TABLE 18 The values corresponding to Conditions (9) to (13) and (18) to (2φin Examples 6 to 15 |φP/φW| |φP/φ1| |φP/φ2| |φP/φ3| M3/M2 Example 6 G2: 0.25 0.63 0.00 G6: 0.55 1.10 Example 7 G2: 0.27 0.72 0.00 G7: 0.25 1.00 Example 8 G1: 0.15 0.39 0.00 G7: 0.20 1.00 Example 9 G2: 0.16 0.59 0.00 G5: 0.32 0.68 Example 10 G1: 0.14 0.38 0.00 G7: 0.24 0.47 1.00 Example 11 G2: 0.17 0.57 0.56 G5: 0.26 0.65 Example 12 G2: 0.24 0.86 0.00 G5: 1.10 2.27 G6: 0.22 0.46 G7: 0.33 1.00 Example 13 G2: 0.32 0.97 0.00 G5: 0.78 1.64 G6: 0.05 0.11 G7: 0.08 0.35 G8: 0.33 1.40 Example 14 G2: 0.31271 0.79 −0.18 G6: 0.5375 1.19 G7: 0.48626 1.38 log(β2T/β2W)/logZ log(β3T/β3W)/logZ Example 6 G2: 1.00 0.00 Example 7 G2: 1.00 0.00 Example 8 G1: 1.00 0.00 Example 9 G2: 0.99 0.01 Example 10 G1: 1.00 0.00 Example 11 G2: 1.87 −0.87 Example 12 G2: 0.99 0.01 Example 13 G2: 1.00 0.00 Example 14 G2: 0.75 0.25 log(β3T/β3W)/log(β2T/β2W) Example 6 G2: 0.00 Example 7 G2: 0.00 Example 8 G1: 0.00 Example 9 G2: 0.01 Example 10 G1: 0.00 Example 11 G2: −0.46 Example 12 G2: 0.01 Example 13 G2: 0.00 Example 14 G2: 0.34 ∩P/ 0W × h ΕφPi/φW × hi Example 6 G2: −0.27 G6: 0.66 0.39 Example 7 G2: −0.28 G7: 0.17 −0.12 Example 8 G1: −0.15 G7: 0.14 −0.01 Example 9 G2: 0.21 G5: −0.30 −0.09 Example 10 G1: −0.14 G7: 0.16 0.02 Example 11 G2: 0.19 G5: −0.26 −0.08 Example 12 G2: −0.26 G5: −1.20 G6: 0.23 G7: 0.16 −1.06 Example 13 G2: −0.33 G5: −0.93 G6: 0.06 G7: −0.04 G8: 0.14 −1.10 Example 14 G2: −0.34 G6: 0.68 G7: −0.25 0.09 |φ1/φW| φ2/φW φ3/φW Example 6 G2: 0.40 0.50 0.21 Example 7 G2: 0.37 0.50 0.25 Example 8 G1: 0.40 0.52 0.20 Example 9 G2: 0.27 0.47 0.34 Example 10 G1: 0.38 0.51 0.24 Example 11 G2: 0.29 0.40 0.48 Example 12 G2: 0.29 0.48 0.33 Example 13 G2: 0.33 0.47 0.23 Example 14 G2: 0.39 0.45 0.35 Cp × (N′-N)/φW Object side Image side Example 6 G2: 0.23 −0.50 G6: 0.25 0.31 Example 7 G2: 0.25 −0.54 G7: 0.33 −0.10 Example 8 G1: 0.22 −0.38 G7: 0.35 −0.17 Example 9 G2: 0.13 0.031 G5: −0.44 0.12 Example 10 G1: 0.18 −0.33 G7: 0.45 −0.23 Example 11 G2: 0.18 −0.01 G5: 0.37 −0.67 Example 12 G2: 0.19 −0.45 G5: −0.43 −0.65 G6: 0.47 −0.29 G7: 0.24 0.10 Example 13 G2: 0.15 −0.48 G5: −0.37 −0.40 G6: 0.37 −0.34 G7: 0.35 −0.46 G8: 0.24 0.10 Example 14 G2: 0.17 −0.49 G6: 0.25 0.30 G7: −0.29 −0.19 -
TABLE 19 The values corresponding to Conditions (7) and (8) in Examples 1 to 5 Example 1 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00037 0.40Y −0.00634 0.60Y −0.03585 0.80Y −0.13341 1.00Y −0.40394 [12th Surface (r12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y −0.00000 0.20Y −0.00037 0.40Y −0.00598 0.60Y −0.03057 0.80Y −0.09885 1.00Y −0.25219 Example 2 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00051 0.40Y −0.00870 0.60Y −0.04931 0.80Y −0.18376 1.00Y −0.55608 [10th Surface (r10)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y 0.00005 0.40Y 0.00077 0.60Y 0.00408 0.80Y 0.01399 1.00Y 0.03852 [12th Surface (r12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00072 0.40Y −0.01169 0.60Y −0.06096 0.80Y −0.20787 1.00Y −0.58532 Example 3 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00050 0.40Y −0.00851 0.60Y −0.04778 0.80Y −0.17765 1.00Y −0.54143 [10th Surface (r10)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y −0.00000 0.20Y 0.00003 0.40Y 0.00046 0.60Y 0.00259 0.80Y 0.00945 1.00Y 0.02790 [12th Surface (r12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00065 0.40Y −0.01058 0.60Y −0.05546 0.80Y −0.19007 1.00Y −0.53702 Example 4 [5th Surface (r5)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00008 0.40Y −0.00129 0.60Y −0.00719 0.80Y −0.02684 1.00Y −0.08390 [6th Surface (r6)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00066 0.40Y −0.01070 0.60Y −0.05580 0.80Y −0.18492 1.00Y −0.48426 [11th Surface (r11)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y −0.00000 0.20Y −0.00017 0.40Y −0.00282 0.60Y −0.01457 0.80Y −0.04772 1.00Y −0.12247 Example 5 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00058 0.40Y −0.00938 0.60Y −0.04968 0.80Y −0.17281 1.00Y −0.49672 [12th Surface (n12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00039 0.40Y −0.00630 0.60Y −0.03215 0.80Y −0.10366 1.00Y −0.26303 The values corresponding to Conditions (15) and (17) in Examples 6 to 15 Example 6 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00036 0.40Y −0.00585 0.60Y −0.03124 0.80Y −0.10983 1.00Y −0.31946 [12th Surface (r12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00016 0.40Y −0.00266 0.60Y −0.01382 0.80Y −0.04620 1.00Y −0.12441 Example 7 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00040 0.40Y −0.00645 0.60Y −0.03442 0.80Y −0.12249 1.00Y −0.36724 [14th Surface (r14)] Height (|X| − |X0|)/{C0(N′-N) · f3} 0.00Y 0.00000 0.20Y −0.00005 0.40Y −0.00072 0.60Y −0.00343 0.80Y −0.00979 1.00Y −0.02004 Example 8 [1st Surface (r1)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00047 0.40Y −0.00762 0.60Y −0.04017 0.80Y −0.13975 1.00Y −0.40512 [14th Surface (r14)] Height (|X| − |X0|)/{C0(N′-N) · f3} 0.00Y 0.00000 0.20Y −0.00007 0.40Y −0.00103 0.60Y −0.00497 0.80Y −0.01421 1.00Y −0.02846 Example 9 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00034 0.40Y −0.00549 0.60Y −0.02824 0.80Y −0.09332 1.00Y −0.24896 [11th Surface (r11)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00086 0.40Y −0.01414 0.60Y −0.07574 0.80Y −0.26114 1.00Y −0.14147 Example 10 [1st Surface (r1)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00077 0.40Y −0.01256 0.60Y −0.06639 0.80Y −0.22928 1.00Y −0.65070 [14th Surface (r14)] Height (|X| − |X0|)/{C0(N′-N) · f3} 0.00Y 0.00000 0.20Y −0.00008 0.40Y −0.00129 0.60Y −0.00655 0.80Y −0.02065 1.00Y −0.04955 Example 11 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00041 0.40Y −0.00663 0.60Y −0.03428 0.80Y −0.11465 1.00Y −0.31309 [10th Surface (r10)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00016 0.40Y −0.00260 0.60Y −0.01388 0.80Y −0.04736 1.00Y −0.12790 Example 12 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00058 0.40Y −0.00940 0.60Y −0.04961 0.80Y −0.17667 1.00Y −0.53893 [12th Surface (r12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00011 0.40Y −0.00182 0.60Y −0.00969 0.80Y −0.03330 1.00Y −0.09218 [15th Surface (r15)] Height (|X| − |X0|)/{C0(N′-N) · f3} 0.00Y 0.00000 0.20Y −0.00033 0.40Y −0.00502 0.60Y −0.02364 0.80Y −0.06629 1.00Y −0.13286 Example 13 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00082 0.40Y −0.01333 0.60Y −0.07171 0.80Y −0.26196 1.00Y −0.82010 [12th Surface (r12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00020 0.40Y −0.00328 0.60Y −0.01759 0.80Y −0.06132 1.00Y −0.17301 [14th Surface (r14)] Height (|X| − |X0|)/{C0(N′-N) · f3} 0.00Y 0.00000 0.20Y −0.00020 0.40Y −0.00311 0.60Y −0.01525 0.80Y −0.04605 1.00Y −0.10564 [17th Surface (r17)] Height (|X| − |X0|)/{C0(N′-N) · f3} 0.00Y 0.00000 0.20Y 0.00068 0.40Y 0.01090 0.60Y 0.05583 0.80Y 0.17801 1.00Y 0.43402 Example 14 [3rd Surface (r3)] Height (|X| − |X0|)/{C0(N′-N) · f1} 0.00Y −0.00000 0.20Y −0.00048 0.40Y −0.00802 0.60Y −0.04370 0.80Y −0.15559 1.00Y −0.44995 [12th Surface (r12)] Height (|X| − |X0|)/{C0(N′-N) · f2} 0.00Y 0.00000 0.20Y −0.00007 0.40Y −0.00110 0.60Y −0.00579 0.80Y −0.01922 1.00Y −0.04962 [15th Surface (r15)] Height (|X| − |X0|)/{C0(N′-N) · f3} 0.00Y 0.00000 0.20Y −0.00067 0.40Y −0.01051 0.60Y −0.05178 0.80Y −0.15744 1.00Y −0.36553
Claims (57)
1. A zoom lens system comprising, in order from an object side:
a first lens unit;
a second lens unit having a positive optical power; and
a third lens unit,
wherein zooming is achieved by moving at least two lens units so as to vary a distance between the first and second lens units and a distance between the second and third lens units, and wherein at least one of the lens elements included in the lens units is a plastic lens element that fulfills the following conditions:
−0.8<Cp×(N′−N)/φW<0.8 −0.45<M3/M2<0.90 (where φT/φW>1.6)
where
Cp represents a curvature of the plastic lens element;
φW represents an optical power of the entire zoom lens system at a wide-angle end;
N′ represents a refractive index of an object-side medium of an aspherical surface for d line;
N represents a refractive index of an image-side medium of an aspherical surface for d line;
M3 represents an amount of movement of the third lens unit (where the direction pointing to the object side is negative with respect to the wide-angle end);
M2 represents an amount of movement of the second lens unit; and
φT represents an optical power of the entire zoom lens system at a telephoto end.
2. The zoom lens system of wherein said first lens unit has a negative optical power.
claim 1
3. The zoom lens system of wherein said second lens unit includes a positive lens element and a negative lens element.
claim 1
4. The zoom lens system of wherein said third lens unit has a positive optical power.
claim 1
5. The zoom lens system of wherein said plastic lens element is contained in the first lens unit and fulfills the following conditions:
claim 1
|φP/φ1|<1.20 0.20<|φ1/φW|<0.70
where
φP represents an optical power of the plastic lens element;
φ1 represents an optical power of the first lens unit; and
φT represents an optical power of the entire zoom lens system at a telephoto end.
6. The zoom lens system of wherein said first lens unit has a negative optical power.
claim 5
7. The zoom lens system of wherein said first lens unit includes a positive lens element and a negative lens element.
claim 6
8. The zoom lens system of wherein said third lens unit has a positive optical power.
claim 5
9. The zoom lens system of , wherein said plastic lens element is included in the second lens unit and fulfills the following conditions:
claim 1
|φP/φ2|<2.5 0.25<φ2/φW<0.75
where
φP represents an optical power of the plastic lens element; and
φ2 represents an optical power of the second lens unit.
10. The zoom lens system of wherein said first lens unit has a negative optical power.
claim 9
11. The zoom lens system of wherein said second lens unit includes a positive lens element and a negative lens element.
claim 9
12. The zoom lens system of wherein said third lens unit has a positive optical power.
claim 9
13. The zoom lens system of wherein said plastic lens element is included in the third lens unit and fulfills the following conditions:
claim 1
−0.30<M3/M2<0.90 |φP/φ3|<1.70 0.1<φ3/φW<0.60
where
φP represents an optical power of the plastic lens element; and
φ3 represents an optical power of the third lens unit.
14. The zoom lens system of wherein said first lens unit has a negative optical power.
claim 13
15. The zoom lens system of wherein said third lens unit has a positive optical power.
claim 13
16. The zoom lens system of , wherein at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the second lens unit are plastic lens elements that fulfill the following conditions:
claim 1
−1.4<φPi/φW×hi<1.4 0.5<log(β2T/β2W)/log Z<2.2
where
φPi represents an optical power of an ith plastic lens element;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β2W represents a lateral magnification of the second lens unit at the wide-angle end;
β2T represents a lateral magnification of the second lens unit at the telephoto end;
Z represents a zoom ratio; and
log represents a natural logarithm.
17. The zoom lens system of wherein said first lens unit has a negative optical power.
claim 16
18. The zoom lens system of wherein said third lens unit has a positive optical power.
claim 16
19. The zoom lens system as claimed in , wherein at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the third lens element are plastic lens elements that fulfill the following conditions:
claim 1
−1.4<φPi/φW×hi<1.4 −1.2<log(β3T/β3W)/log Z<0.5
where
φPi represents an optical power of an ith plastic lens element;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β3W represents a lateral magnification of the third lens unit at the wide-angle end;
β3T represents a lateral magnification of the third lens unit at the telephoto end;
Z represents a zoom ratio; and
log represents a natural logarithm.
20. The zoom lens system of wherein said first lens unit has a negative optical power.
claim 19
21. The zoom lens system of wherein said second lens unit includes a positive lens element and a negative lens element.
claim 19
22. The zoom lens system of wherein said third lens unit has a positive optical power.
claim 19
23. The zoom lens system of , wherein at least one of the lens elements included in the second lens unit and at least one of the lens elements included in the third lens unit are plastic lens elements that fulfill the following conditions:
claim 1
−1.4<φPi/φW×hi<1.4 0.75<log(β3T/β3W)/log(β2T/β2W)<0.65
where
φPi represents an optical power of an ith plastic lens element;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β2W represents a lateral magnification of the second lens unit at the wide-angle end;
β2T represents a lateral magnification of the second lens unit at the telephoto end;
β3W represents a lateral magnification of the third lens unit at the wide-angle end;
β3T represents a lateral magnification of the third lens unit at the telephoto end; and
log represents a natural logarithm.
24. The zoom lens system of wherein said first lens unit has a negative optical power.
claim 23
25. The zoom lens system of wherein said second lens unit includes a positive lens element and a negative lens element.
claim 23
26. The zoom lens system of wherein said third lens unit has a positive optical power.
claim 23
27. The zoom lens system comprising, in order from an object side:
a first lens unit;
a second lens unit having a positive optical power; and
a third lens unit,
wherein zooming is achieved by varying a distance between the first and second lens units and a distance between the second and third lens units, and wherein at least one of the lens elements included in the second lens unit is a plastic lens element that fulfills the following conditions:
|φP/φ2|<2.5 0.25<φ2/φW<0.75
where
φP represents an optical power of the plastic lens element;
φ2 represents an optical power of the second lens unit; and
φW represents an optical power of the entire zoom lens system at a wide-angle end.
28. A zoom lens system comprising, in order from an object side:
a first lens unit;
a second lens unit having a positive optical power; and
a third lens unit,
wherein zooming is achieved by moving at least two lens units so as to vary a distance between the first and second lens units and a distance between the second and third lens units, and wherein at least one of the lens elements included in the third lens unit is a plastic lens element that fulfill the following conditions:
−0.30<M3/M2<0.90 |φP/φ3|<1.70 0.1<φ3/φW<0.60
where
M3 represents an amount of movement of the third lens unit (the direction pointing to the object side is negative with respect to a wide-angle end);
M2 represents an amount of movement of the second lens unit;
φP represents an optical power of the plastic lens element;
φ3 represents an optical power of the third lens unit; and
φW represents an optical power of the entire zoom lens system at a wide-angle end.
29. A zoom lens system comprising, in order from an object side:
a first lens unit;
a second lens unit having a positive optical power; and
a third lens unit,
wherein zooming is achieved by moving at least two lens units so as to vary a distance between the first and second lens units and a distance between the second and third lens units, and wherein at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the second lens unit are plastic lens element that fulfills the following conditions:
−1.4<φPi/φW×hi<1.4 0.5<log(β2T/β2W)/log Z<2.2
where
φPi represents an optical power of an ith plastic lens element;
φW represents an optical power of the entire zoom lens system at a wide-angle end;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β2W represents a lateral magnification of the second lens unit at the wide-angle end;
β2T represents a lateral magnification of the second lens unit at the telephoto end;
Z represents a zoom ratio; and
log represents a natural logarithm.
30. A zoom lens system comprising, in order from an object side:
a first lens unit;
a second lens unit having a positive optical power; and
a third lens unit,
wherein zooming is achieved by moving at least two lens units so as to vary a distance between the first and second lens units and a distance between the second and third lens units, and wherein at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the third lens unit are plastic lens element that fulfill the following conditions:
−1.4<φPi/φW×hi<1.4 −1.2<log(β3T/β3W)/log Z<0.5
where
φPi represents an optical power of an ith plastic lens element;
φW represents an optical power of the entire zoom lens system at a wide-angle end;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β3W represents a lateral magnification of the third lens unit at the wide-angle end;
β3T represents a lateral magnification of the third lens unit at the telephoto end;
Z represents a zoom ratio; and
log represents a natural logarithm.
31. A zoom lens system comprising, in order from an object side:
a first lens unit;
a second lens unit having a positive optical power; and
a third lens unit having a positive optical power,
wherein zooming is achieved by moving at least two lens units so as to vary a distance between the first and second lens units and a distance between the second and third lens units, and wherein at least one of the lens elements included in the second lens unit and at least one of the lens elements included in the third lens unit are plastic lens elements that fulfill the following conditions:
−1.4<φPi/φW×hi<1.4 −0.75<log(β3T/β3W)/log(β2T/β2W)<0.65
where
φPi represents an optical power of an ith plastic lens element;
φW represents an optical power of the entire zoom lens system at a wide-angle end;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β2W represents a lateral magnification of the second lens unit at the wide-angle end;
β2T represents a lateral magnification of the second lens unit at the telephoto end;
β3W represents a lateral magnification of the third lens unit at the wide-angle end;
β3T represents a lateral magnification of the third lens unit at the telephoto end; and
log represents a natural logarithm.
32. A digital camera comprising a zoom lens system, a low pass filter and an image sensor, wherein said zoom lens system includes, in order from the object side thereof:
a first lens unit;
a second lens unit having a positive optical power; and
a third lens unit,
wherein zooming is achieved by moving at least two lens units so as to vary a distance between the first and second lens units and a distance between the second and third lens units, and wherein at least one of the lens elements included in the lens units is a plastic lens element that fulfills the following conditions:
−0.8<Cp×(N′−N)/φW<0.8 −0.45<M3/M2<0.90(where φT/φW>1.6)
where
Cp represents a curvature of the plastic lens element;
φW represents an optical power of the entire zoom lens system at a wide-angle end;
N′ represents a refractive index of an object-side medium of an aspherical surface for d line;
N represents a refractive index of an image-side medium of an aspherical surface for d line;
M3 represents an amount of movement of the third lens unit (where the direction pointing to the object side is negative with respect to the wide-angle end);
M2 represents an amount of movement of the second lens unit; and
φT represents an optical power of the entire zoom lens system at a telephoto end.
33. The digital camera of , wherein said first lens unit has a negative optical power.
claim 32
34. The digital camera of , wherein said second lens unit includes a positive lens element and a negative lens element.
claim 32
35. The digital camera of , wherein said third lens unit has a positive optical power.
claim 32
36. The digital camera of , wherein said plastic lens element is contained in the first lens unit and fulfills the following conditions:
claim 32
|φP/φ1|<1.20 0.20<|φ1/φW|<0.70
where
φP represents an optical power of the plastic lens element;
φ1 represents an optical power of the first lens unit; and
φT represents an optical power of the entire zoom lens system at a telephoto end.
37. The digital camera of , wherein said first lens unit has a negative optical power.
claim 36
38. The digital camera of , wherein said first lens unit includes a positive lens element and a negative lens element.
claim 37
39. The digital camera of , wherein said third lens unit has a positive optical power.
claim 36
40. The digital camera of , wherein said plastic lens element is included in the second lens unit and fulfills the following conditions:
claim 32
|φP/φ2|<2.5 0.25<φ2/φW<0.75
where
φP represents an optical power of the plastic lens element; and
φ2 represents an optical power of the second lens unit.
41. The digital camera of , wherein said first lens unit has a negative optical power.
claim 40
42. The digital camera of , wherein said second lens unit includes a positive lens element and a negative lens element.
claim 40
43. The digital camera of , wherein said third lens unit has a positive optical power.
claim 40
44. The zoom lens system of wherein said plastic lens is included in the third lens unit and fulfills the following conditions:
claim 32
−0.30<M3/M2<0.90 |φP/φ3|<1.70 0.1<3/φW<0.60
where
φP represents an optical power of the plastic lens element; and
φ3 represents an optical power of the third lens unit.
45. The digital camera of , wherein said first lens unit has a negative optical power.
claim 44
46. The digital camera of , wherein said third lens unit has a positive optical power.
claim 44
47. The digital camera of , wherein at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the second lens unit are plastic lens elements that fulfill the following conditions:
claim 32
−1.4<φPi/φW×hi<1.4 0.5<log(β2T/β2W)/log Z<2.2
where
φPi represents an optical power of an ith plastic lens element;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β2W represents a lateral magnification of the second lens unit at the wide-angle end;
β2T represents a lateral magnification of the second lens unit at the telephoto end;
Z represents a zoom ratio; and
log represents a natural logarithm.
48. The digital camera of , wherein said first lens unit has a negative optical power.
claim 47
49. The digital camera of , wherein said third lens unit has a positive optical power.
claim 47
50. The digital camera of , wherein at least one of the lens elements included in the first lens unit and at least one of the lens elements included in the third lens element are plastic lens elements that fulfill the following conditions:
claim 32
−1.4<φPi/φW×hi<1.4 −1.2<log(β3T/β3W)/log Z<0.5
where
φPi represents an optical power of an ith plastic lens element;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β3W represents a lateral magnification of the third lens unit at the wide-angle end;
β3T represents a lateral magnification of the third lens unit at the telephoto end;
Z represents a zoom ratio; and
log represents a natural logarithm.
51. The digital camera of , wherein said first lens unit has a negative optical power.
claim 50
52. The digital camera of , wherein said second lens unit includes a positive lens element and a negative lens element.
claim 50
53. The digital camera of , wherein said third lens unit has a positive optical power.
claim 50
54. The digital camera of , wherein at least one of the lens elements included in the second lens unit and at least one of the lens elements included in the third lens unit are plastic lens elements that fulfill the following conditions:
claim 32
−1.4<φPi/φW×hi<1.4 −0.75<log(β3T/β3W)/log(β2T/β2W)<0.65
where
φPi represents an optical power of an ith plastic lens element;
hi represents a height of incidence at which a paraxial ray enters an object-side surface of the ith plastic lens element at a telephoto end, assuming that initial values of a converted inclination α1 and a height h1, for paraxial tracing, are 0 and 1, respectively;
β2W represents a lateral magnification of the second lens unit at the wide-angle end;
β2T represents a lateral magnification of the second lens unit at the telephoto end;
β3W represents a lateral magnification of the third lens unit at the wide-angle end;
β3T represents a lateral magnification of the third lens unit at the telephoto end; and
log represents a natural logarithm.
55. The digital camera of , wherein said first lens unit has a negative optical power.
claim 54
56. The digital camera of , wherein said second lens unit includes a positive lens element and a negative lens element.
claim 54
57. The digital camera of , wherein said third lens unit has a positive optical power.
claim 54
Priority Applications (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US09/810,245 US6456443B2 (en) | 1998-12-22 | 2001-03-19 | Zoom lens system |
US10/177,602 US6532114B1 (en) | 1998-12-22 | 2002-06-24 | Zoom lens system |
Applications Claiming Priority (7)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP36366498A JP2000187157A (en) | 1998-12-22 | 1998-12-22 | Zoom lens and image pickup device |
JP10-363664 | 1998-12-22 | ||
JPH10-363664 | 1998-12-22 | ||
JP11-005056 | 1999-01-12 | ||
JP505699 | 1999-01-12 | ||
US09/468,366 US6229655B1 (en) | 1998-12-22 | 1999-12-21 | Zoom lens system |
US09/810,245 US6456443B2 (en) | 1998-12-22 | 2001-03-19 | Zoom lens system |
Related Parent Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US09/468,366 Division US6229655B1 (en) | 1998-12-22 | 1999-12-21 | Zoom lens system |
Related Child Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US10/177,602 Division US6532114B1 (en) | 1998-12-22 | 2002-06-24 | Zoom lens system |
Publications (2)
Publication Number | Publication Date |
---|---|
US20010013980A1 true US20010013980A1 (en) | 2001-08-16 |
US6456443B2 US6456443B2 (en) | 2002-09-24 |
Family
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Family Applications (3)
Application Number | Title | Priority Date | Filing Date |
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US09/468,366 Expired - Lifetime US6229655B1 (en) | 1998-12-22 | 1999-12-21 | Zoom lens system |
US09/810,245 Expired - Lifetime US6456443B2 (en) | 1998-12-22 | 2001-03-19 | Zoom lens system |
US10/177,602 Expired - Lifetime US6532114B1 (en) | 1998-12-22 | 2002-06-24 | Zoom lens system |
Family Applications Before (1)
Application Number | Title | Priority Date | Filing Date |
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US09/468,366 Expired - Lifetime US6229655B1 (en) | 1998-12-22 | 1999-12-21 | Zoom lens system |
Family Applications After (1)
Application Number | Title | Priority Date | Filing Date |
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US10/177,602 Expired - Lifetime US6532114B1 (en) | 1998-12-22 | 2002-06-24 | Zoom lens system |
Country Status (3)
Country | Link |
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US (3) | US6229655B1 (en) |
CN (2) | CN1523392A (en) |
TW (1) | TW442666B (en) |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
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US20030197951A1 (en) * | 1999-08-31 | 2003-10-23 | Canon Kabushiki Kaisha | Zoom lens and optical apparatus having the same |
US20100128364A1 (en) * | 2008-11-26 | 2010-05-27 | Hoya Corporation | Zoom lens system and electronic imaging device using the same |
US10302918B2 (en) | 2015-02-06 | 2019-05-28 | Sony Corporation | Imaging lens and imaging unit |
US10585263B2 (en) | 2015-11-20 | 2020-03-10 | Sony Corporation | Imaging lens |
Families Citing this family (29)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6229655B1 (en) * | 1998-12-22 | 2001-05-08 | Minolta Co., Ltd. | Zoom lens system |
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JP3252227B2 (en) | 1991-07-18 | 2002-02-04 | コニカ株式会社 | Camera with large aperture wide-angle zoom lens |
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-
1999
- 1999-12-21 US US09/468,366 patent/US6229655B1/en not_active Expired - Lifetime
- 1999-12-21 TW TW088122081A patent/TW442666B/en not_active IP Right Cessation
- 1999-12-22 CN CNA2003101028716A patent/CN1523392A/en active Pending
- 1999-12-22 CN CNB991204913A patent/CN1149419C/en not_active Expired - Fee Related
-
2001
- 2001-03-19 US US09/810,245 patent/US6456443B2/en not_active Expired - Lifetime
-
2002
- 2002-06-24 US US10/177,602 patent/US6532114B1/en not_active Expired - Lifetime
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Also Published As
Publication number | Publication date |
---|---|
TW442666B (en) | 2001-06-23 |
CN1523392A (en) | 2004-08-25 |
US6229655B1 (en) | 2001-05-08 |
CN1149419C (en) | 2004-05-12 |
US6456443B2 (en) | 2002-09-24 |
US6532114B1 (en) | 2003-03-11 |
CN1261681A (en) | 2000-08-02 |
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