# Patent

## Title
Zoom lens and imaging apparatus

## Abstract

A zoom lens consists of, in order from the object side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, a third lens group having a positive refractive power, a fourth lens group having a negative refractive power, a fifth lens group having a positive refractive power, and a sixth lens group having a positive refractive power, wherein magnification change is effected by changing all distances between adjacent lens groups. The second lens group is moved from the object side toward the image side during magnification change from the wide-angle end to the telephoto end. The position of the third lens group at the telephoto end is nearer to the image side than the position of the third lens group at the wide-angle end.

## Background
CROSS-REFERENCE TO RELATED APPLICATIONS
The present application claims priority under 35 U.S.C. §119 to Japanese Patent Application No. 2014-200169, filed on Sep. 30, 2014. The above application is hereby expressly incorporated by reference, in its entirety, into the present application.
BACKGROUND
The present disclosure relates to a zoom lens suitable for use with electronic cameras, such as digital cameras, video cameras, broadcasting cameras, monitoring cameras, etc., and an imaging apparatus provided with the zoom lens.
Along with development of 4K or 8K broadcasting cameras in recent years, there is a demand for high performance zoom lenses that accommodate higher pixel density for use with such broadcasting cameras.
As zoom lenses for use with electronic cameras, such as the above-mentioned broadcasting cameras, and digital cameras, video cameras, monitoring cameras, etc., those disclosed in Japanese Unexamined Patent Publication Nos. 2011-197470 and 2014-142451 (hereinafter, Patent Documents 1 and 2, respectively) are known. Each of Patent Documents 1 and 2 discloses a high performance zoom lens having a six-group configuration.
SUMMARY
However, the zoom lens of Patent Document 1 has a small zoom ratio, and the zoom lens of Patent Document 2 has a long entire length. It is therefore desired to provide a high magnification and compact zoom lens with successfully corrected aberrations.
In view of the above-described circumstances, the present disclosure is directed to providing a high magnification and compact zoom lens with successfully corrected aberrations, and an imaging apparatus provided with the zoom lens.
A zoom lens of the disclosure consists of, in order from the object side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, a third lens group having a positive refractive power, a fourth lens group having a negative refractive power, a fifth lens group having a positive refractive power, and a sixth lens group having a positive refractive power, wherein magnification change is effected by changing all distances between adjacent lens groups, the second lens group is moved from the object side toward the image side during magnification change from the wide-angle end to the telephoto end, and the position of the third lens group at the telephoto end is nearer to the image side than the position of the third lens group at the wide-angle end.
In the zoom lens of the disclosure, it is preferred that the condition expression (1) below be satisfied. It is more preferred that the condition expression (1-1) below be satisfied.

0.2<d2T/d2W<5  (1),

0.25<d2T/d2W<4  (1-1),

where d2T is an axial air space between the second lens group and the third lens group at the telephoto end, and d2W is an axial air space between the second lens group and the third lens group at the wide-angle end.

It is preferred that a distance between the second lens group and the third lens group during magnification change from the wide-angle end to the telephoto end be once increased and then be decreased.
It is preferred that the condition expression (2) below be satisfied. It is more preferred that the condition expression (2-1) below be satisfied.

−0.3<f2/f3<−0.1  (2),

−0.25<f2/f3<−0.15  (2−1),

where f2 is a focal length of the second lens group, and f3 is a focal length of the third lens group.

It is preferred that a stop be disposed between the fourth lens group and the fifth lens group.
It is preferred that an axial air space between the fourth lens group and the fifth lens group at the telephoto end be smaller than an axial air space between the fourth lens group and the fifth lens group at the wide-angle end.
It is preferred that the sixth lens group be fixed relative to the image plane during magnification change.
It is preferred that the condition expression (3) below be satisfied. It is more preferred that the condition expression (3-1) below be satisfied.

15<vL<45  (3),

17<vL<40  (3-1),

where vL is an Abbe number with respect to the d-line of the most image-side lens of the sixth lens group.

It is preferred that the condition expression (4) below be satisfied. It is more preferred that the condition expression (4-1) below be satisfied.

0.57<θgFL<0.7  (4),

0.58<θgFL<0.66  (4-1),

where θgFL is a partial dispersion ratio of the most image-side lens of the sixth lens group.

It is preferred that focusing from infinity to a closer object be effected by moving only the entire first lens group or only a part of lenses forming the first lens group along the optical axis.
It is preferred that the first lens group consist of, in order from the object side, a first lens-group front group, a first lens-group middle group having a positive refractive power, and a first lens group rear group having a positive refractive power, the first lens-group front group be fixed relative to the image plane during focusing, the first lens-group middle group be moved from the image side toward the object side during focusing from infinity to a closer object, and the first lens-group rear group be moved from the image side toward the object side during focusing from infinity to a closer object along a locus of movement that is different from a locus of movement of the first lens-group middle group.
In this case, it is preferred that the first lens-group front group consist of, in order from the object side, a negative lens, a positive lens, and a positive lens. Further, it is preferred that a mean refractive index with respect to the d-line of the positive lens forming the first lens-group rear group be higher than a mean refractive index with respect to the d-line of the positive lens forming the first lens-group middle group.
It is preferred that the sixth lens group comprise at least two positive lenses.
It is preferred that the sixth lens group consist of, in order from the object side, a positive single lens, a cemented lens formed by two lenses cemented together wherein one of the two lenses is a positive lens and the other of the two lenses is a negative lens, a cemented lens formed by two lenses cemented together wherein one of the two lenses is a positive lens and the other of the two lenses is a negative lens, and a positive single lens. It should be noted that either of the positive lens and the negative lens forming each cemented lens may be positioned on the object side.
The imaging apparatus of the disclosure comprises the above-described zoom lens of the disclosure.
It should be noted that the expression “consisting/consist of” as used herein means that the zoom lens may include, besides the elements recited above: lenses substantially without any power; optical elements other than lenses, such as a stop, a mask, a cover glass, and filters; and mechanical components, such as a lens flange, a lens barrel, an image sensor, a camera shake correction mechanism, etc.
It should be noted that the partial dispersion ratio θgF is expressed by the formula below:

θgF=(ng−nF)/(nF−nC),

where ng is a refractive index with respect to the g-line (the wavelength of 435.8 nm), nF is a refractive index with respect to the F-line (the wavelength of 486.1 nm), and nC is a refractive index with respect to the C-line (the wavelength of 656.3 nm).

The sign (positive or negative) with respect to the surface shape and the refractive power of any lens including an aspheric surface among the lenses described above is about the paraxial region.
The zoom lens of the disclosure consists of, in order from the object side, the first lens group having a positive refractive power, the second lens group having a negative refractive power, the third lens group having a positive refractive power, the fourth lens group having a negative refractive power, the fifth lens group having a positive refractive power, and the sixth lens group having a positive refractive power, wherein magnification change is effected by changing all distances between adjacent lens groups, the second lens group is moved from the object side toward an image side during magnification change from the wide-angle end to the telephoto end, and the position of the third lens group at the telephoto end is nearer to the image side than the position of the third lens group at the wide-angle end. This configuration allows accomplishing a high magnification and compact zoom lens with successfully corrected aberrations.
The imaging apparatus of the disclosure, which is provided with the zoom lens of the disclosure, can be formed as a compact imaging apparatus and allows obtaining high magnification and high image quality images.



BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a sectional view illustrating the lens configuration of a zoom lens according to one embodiment of the disclosure (a zoom lens of Example 1),
FIG. 2 is a sectional view illustrating the lens configuration of a zoom lens of Example 2 of the disclosure,
FIG. 3 is a sectional view illustrating the lens configuration of a zoom lens of Example 3 of the disclosure,
FIG. 4 is a sectional view illustrating the lens configuration of a zoom lens of Example 4 of the disclosure,
FIG. 5 is a sectional view illustrating the lens configuration of a zoom lens of Example 5 of the disclosure,
FIG. 6 is a sectional view illustrating the lens configuration of a zoom lens of Example 6 of the disclosure,
FIG. 7 is a sectional view illustrating the lens configuration of a zoom lens of Example 7 of the disclosure,
FIG. 8 is a sectional view illustrating the lens configuration of a zoom lens of Example 8 of the disclosure,
FIG. 9 is a sectional view illustrating the lens configuration of a zoom lens of Example 9 of the disclosure,
FIG. 10 is a sectional view illustrating the lens configuration of a zoom lens of Example 10 of the disclosure,
FIG. 11 is a sectional view illustrating the lens configuration of a zoom lens of Example 11 of the disclosure,
FIG. 12 is a sectional view illustrating the lens configuration of a zoom lens of Example 12 of the disclosure,
FIG. 13 is a diagram showing a locus of movement of each lens group of the zoom lens of Example 1 of the disclosure,
FIG. 14 shows aberration diagrams of the zoom lens of Example 1 of the disclosure,
FIG. 15 shows aberration diagrams of the zoom lens of Example 2 of the disclosure,
FIG. 16 shows aberration diagrams of the zoom lens of Example 3 of the disclosure,
FIG. 17 shows aberration diagrams of the zoom lens of Example 4 of the disclosure,
FIG. 18 shows aberration diagrams of the zoom lens of Example 5 of the disclosure,
FIG. 19 shows aberration diagrams of the zoom lens of Example 6 of the disclosure,
FIG. 20 shows aberration diagrams of the zoom lens of Example 7 of the disclosure,
FIG. 21 shows aberration diagrams of the zoom lens of Example 8 of the disclosure,
FIG. 22 shows aberration diagrams of the zoom lens of Example 9 of the disclosure,
FIG. 23 shows aberration diagrams of the zoom lens of Example 10 of the disclosure,
FIG. 24 shows aberration diagrams of the zoom lens of Example 11 of the disclosure,
FIG. 25 shows aberration diagrams of the zoom lens of Example 12 of the disclosure, and
FIG. 26 is a diagram illustrating the schematic configuration of an imaging apparatus according to an embodiment of the disclosure.



DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Hereinafter, embodiments of the present disclosure will be described in detail with reference to the drawings. FIG. 1 is a sectional view illustrating the lens configuration of a zoom lens according to one embodiment of the disclosure, and FIG. 13 is a diagram showing a locus of movement of each lens group of the zoom lens. The configuration example shown in FIGS. 1 and 13 is the same as the configuration of a zoom lens of Example 1, which will be described later. In FIGS. 1 and 13, the left side is the object side and the right side is the image side. A stop St shown in each drawing does not necessarily represent the size and the shape thereof, but represents the position thereof along the optical axis Z. In FIG. 1 also shows an on-axis bundle of rays wa, and a bundle of rays wb at the maximum angle of view.
As shown in FIG. 1, this zoom lens includes, in order from the object side, a first lens group G1 having a positive refractive power, a second lens group G2 having a negative refractive power, a third lens group G3 having a positive refractive power, a fourth lens group G4 having a negative refractive power, a fifth lens group G5 having a positive refractive power, and a sixth lens group G6 having a positive refractive power, wherein magnification change is effected by changing all the distances between the adjacent lens groups.
When this zoom lens is used with an imaging apparatus, it is preferred to provide a cover glass, a prism, and various filters, such as an infrared cutoff filter and a low-pass filter, between the optical system and an image plane Sim depending on the configuration of the camera on which the lens is mounted. In the example shown in FIG. 1, optical members PP1 to PP3 in the form of plane-parallel plates, which are assumed to represent the above-mentioned elements, are disposed between the lens system and the image plane Sim.
During magnification change from the wide-angle end to the telephoto end, the second lens group G2 is moved from the object side toward the image side, and the position of the third lens group G3 at the telephoto end is closer to the image side than the position of the third lens group G3 at the wide-angle end.
The first lens group G1 having a positive refractive power is advantageous for providing a high zoom ratio while keeping the entire length relatively small.
The second lens group G2 having a negative refractive power is moved from the object side toward the image side during magnification change from the wide-angle end to the telephoto end, and mainly functions to effect the magnification change.
The third lens group G3 is moved to change the distance between the third lens group G3 and the second lens group G2, to thereby function to correct change of field curvature, spherical aberration, and lateral chromatic aberration due to magnification change. The above-described effect can be enhanced when the third lens group G3 has a positive refractive power, i.e., a refractive power of the opposite sign from that of the second lens group G2. The lens configuration where the position of the third lens group G3 at the telephoto end is closer to the image side than the position of the third lens group G3 at the wide-angle end allows reducing the amount of movement of the second lens group G2 during magnification change when a high zoom-ratio zoom lens is provided, thereby allowing reduction of the entire length.
The fourth lens group G4 mainly functions to correct change of the image plane position due to magnification change. The fourth lens group G4 having a negative refractive power allows reducing the entire length while ensuring a sufficient back focus when the number of lenses forming the fifth lens group G5 and the following lens group is small.
The fifth lens group G5 is moved to change the distance between the fifth lens group G5 and the sixth lens group G6, to thereby function to correct change of field curvature, astigmatism, and lateral chromatic aberration due to magnification change. If only the floating system to change the distance between the second lens group G2 and the third lens group G3 is provided, a distance suitable for correcting spherical aberration differs from a distance suitable for correcting field curvature, and it is difficult to correct these aberrations at the same time. Providing the two floating systems to change the distance between the second lens group G2 and the third lens group G3 and to change the distance between the fifth lens group G5 and the sixth lens group G6 allows suppressing different aberrations at the same time.
The sixth lens group G6 mainly functions to form an image.
In the zoom lens of this embodiment, it is preferred that the condition expression (1) below be satisfied. During magnification change from the wide-angle end to the telephoto end, the second lens group G2 is largely moved from the object side toward the image side to approach the fourth lens group G4. At this time, if the distance between the second lens group G2 and the third lens group G3 at the telephoto side is large, the second lens group G2 cannot sufficiently approach the fourth lens group G4 at the telephoto side. When the upper limit of the condition expression (1) below is satisfied, the second lens group G2 can sufficiently approach the fourth lens group G4, and this is advantageous for achieving high magnification. While relative change of aberrations between different focal lengths can be suppressed by changing the distance between the second lens group G2 and the third lens group G3, the effect of correcting field curvature, in particular, at the wide angle side is enhanced when the lower limit of the condition expression (1) is satisfied, and this is advantageous for correcting field curvature at the wide-angle end. It should be noted that higher performance can be obtained when the condition expression (1-1) below is satisfied.

0.2<d2T/d2W<5  (1),

0.25<d2T/d2W<4  (1-1),

where d2T is an axial air space between the second lens group and the third lens group at the telephoto end, and d2W is an axial air space between the second lens group and the third lens group at the wide-angle end.

It is preferred that, during magnification change from the wide-angle end to the telephoto end, the distance between the second lens group G2 and the third lens group G3 be once increased, and then be decreased. This configuration is advantageous for correcting spherical aberration, field curvature, and astigmatism at an intermediate focal length, which are difficult to be corrected when the zoom lens is a high magnification zoom lens.
It is preferred that the condition expression (2) below be satisfied. Satisfying the upper limit of the condition expression (2) allows sufficiently ensuring the effect of the floating system provided by changing the distance between the second lens group G2 and the third lens group G3 during magnification change. Satisfying the lower limit of the condition expression (2) allows ensuring the negative refractive power of the combined optical system formed by the second lens group G2 and the third lens group G3, thereby providing a sufficient magnification changing effect. It should be noted that higher performance can be obtained when the condition expression (2-1) below is satisfied.

<f2/f3<−0.1  (2),

−0.25<f2/f3<−0.15  (2−1),

where f2 is a focal length of the second lens group, and f3 is a focal length of the third lens group.

It is preferred that a stop St be disposed between the fourth lens group G4 and the fifth lens group G5. This configuration allows minimizing the incidence angle of the principal ray onto the image plane at the peripheral angle of view while minimizing the outer diameter of the first lens group G1.
It is preferred that the axial air space between the fourth lens group G4 and the fifth lens group G5 at the telephoto end is smaller than the axial air space between the fourth lens group G4 and the fifth lens group G5 at the wide-angle end. This configuration assists the magnification changing effect.
It is preferred that the sixth lens group G6 be fixed relative to the image plane Sim during magnification change. This configuration allows suppressing change of the F-value due to magnification change.
It is preferred that the condition expression (3) below be satisfied. Satisfying the condition expression (3) allows correcting lateral chromatic aberration to be within a preferred range. In particular, since the height of the principal ray varies when the fifth lens group G5 is moved, satisfying the upper limit of the condition expression (3) is effective to suppress change of lateral chromatic aberration due to magnification change. It should be noted that higher performance can be obtained when the condition expression (3-1) below is satisfied.

15<vL<45  (3),

17<vL<40  (3-1),

where vL is an Abbe number with respect to the d-line of the most image-side lens of the sixth lens group.

It is preferred that the condition expression (4) below be satisfied. Satisfying the condition expression (4) allows suppressing secondary lateral chromatic aberration to be within a preferred range. In particular, since the height of the principal ray varies when the fifth lens group G5 is moved, satisfying the lower limit of the condition expression (4) is effective to suppress change of secondary lateral chromatic aberration due to magnification change. It should be noted that higher performance can be obtained when the condition expression the condition expression (4-1) below is satisfied.

0.57<θgFL<0.7  (4),

0.58<θgFL<0.66  (4-1),

where θgFL is a partial dispersion ratio of the most image-side lens of the sixth lens group.

It is preferred that focusing from infinity to a closer object is effected by moving only the entire first lens group G1 or only a part of lenses forming the first lens group G1 along the optical axis. This configuration allows suppressing difference of the amount of movement of each lens group moved during focusing depending on the state of magnification change.
It is preferred that the first lens group G1 consist of, in order from the object side, a first lens-group front group, a first lens-group middle group having a positive refractive power, and a first lens-group rear group having a positive refractive power, wherein the first lens-group front group is fixed relative to the image plane during focusing, the first lens-group middle group is moved from the image side toward the object side during focusing from infinity to a closer object, and the first lens-group rear group is moved from the image side toward the object side during focusing from infinity to a closer object along a locus of movement that is different from the locus of movement of the first lens-group middle group. This configuration allows suppressing change of field curvature and spherical aberration depending on the object distance. It should be noted that higher performance can be obtained if the distance between the first lens-group middle group and the first lens-group rear group when the lens is focused on a closest object is greater than the distance between the first lens-group middle group and the first lens-group rear group when the lens is focused on an object at infinity. In this embodiment, the lenses L11 to L13 of the first lens group G1 form the first lens-group front group, the lenses L14 to L15 form the first lens-group middle group, and the lens L16 forms the first lens-group rear group.
In this case, it is preferred that the first lens-group front group consist of, in order from the object side, a negative lens, a positive lens, and a positive lens. Disposing the negative lens at the most object-side position in this manner allows minimizing the incidence angle of the marginal ray onto the following lenses and is advantageous for achieving a wide-angle zoom lens. Providing the two positive lenses allows suppressing spherical aberration.
It is preferred that the mean refractive index with respect to the d-line of the positive lens forming the first lens-group rear group is higher than the mean refractive index with respect to the d-line of the positive lens forming the first lens-group middle group. This configuration allows suppressing change of field curvature depending on the object distance.
It is preferred that the sixth lens group G6 include at least two positive lenses. This configuration allows suppressing spherical aberration and distortion.
It is preferred that the sixth lens group G6 consist of, in order from the object side, a positive single lens, a cemented lens formed by two lenses cemented together wherein one of the two lenses is a positive lens and the other of the two lenses is a negative lens, a cemented lens formed by two lenses cemented together wherein one of the two lenses is a positive lens and the other of the two lenses is a negative lens, and a positive single lens. Arranging the lenses forming the sixth lens group G6 in this order allows well balancing between on-axis and off-axis aberrations. The first positive single lens is effective to reduce the F-value. The next two cemented lenses are effective to correct spherical aberration and axial chromatic aberration. Providing the plurality of cemented lenses allows distributing the function of correcting spherical aberration and axial chromatic aberration between the cemented lenses, thereby allowing suppressing high-order spherical aberration and difference of spherical aberration depending on the wavelength. Providing each cemented lens of a positive lens and a negative lens rather than providing a positive lens and a negative lens separately allows suppressing change of spherical aberration due to errors of the surface distances and suppressing coma due to decentering. The last positive single lens is effective to minimize the incidence angle of the principal ray onto the image plane at the peripheral angle of view.
It is preferred that the stop St is moved together with the fifth lens group G5 during magnification change. This configuration is advantageous for reducing the size of the fifth lens group G5 and the following lens group.
It is preferred that the first lens group G1 be fixed relative to the image plane Sim during magnification change. This configuration allows reducing movement of the centroid due to the magnification changing operation.
In a case where the zoom lens is used in a harsh environment, it is preferred that the zoom lens be provided with a protective multi-layer coating. Besides the protective coating, the zoom lens may be provided with an antireflection coating for reducing ghost light, etc., during use.
In the example shown in FIG. 1, the optical members PP1 to PP3 are disposed between the lens system and the image plane Sim. However, in place of disposing the various filters, such as a low-pass filter and a filter that cuts off a specific wavelength range, between the lens system and the image plane Sim, the various filters may be disposed between the lenses, or coatings having the same functions as the various filters may be applied to the lens surfaces of some of the lenses.
Next, numerical examples of the zoom lens of the disclosure are described.
First, a zoom lens of Example 1 is described. FIG. 1 is a sectional view illustrating the lens configuration of the zoom lens of Example 1. It should be noted that, in FIG. 1, and FIGS. 2 to 12 corresponding to Examples 2 to 12, which will be described later, the left side is the object side and the right side is the image side. The stop St shown in the drawings does not necessarily represent the size and the shape thereof, but represents the position thereof along the optical axis Z.
Table 1 shows basic lens data of the zoom lens of Example 1, Table 2 shows data about specifications of the zoom lens, Table 3 shows data about distances between the surfaces to be moved of the zoom lens, and Table 4 shows data about aspheric coefficients of the zoom lens. In the following description, meanings of symbols used in the tables are explained with respect to Example 1 as an example. Basically the same explanations apply to those with respect to Examples 2 to 12.
In the lens data shown in Table 1, each value in the column of “Surface No.” represents each surface number, where the object-side surface of the most object-side element is the 1st surface and the number is sequentially increased toward the image side, each value in the column of “Radius of Curvature” represents the radius of curvature of each surface, and each value in the column of “Surface Distance” represents the distance along the optical axis Z between each surface and the next surface. Each value in the column of “n” represents the refractive index with respect to the d-line (the wavelength of 587.6 nm) of each optical element, each value in the column of “v” represents the Abbe number with respect to the d-line (the wavelength of 587.6 nm) of each optical element, and each value in the column of “θgF” represents the partial dispersion ratio of each optical element.
It should be noted that the partial dispersion ratio θgF is expressed by the formula below:

θgF=(ng−nF)/(nF−nC),

where ng is a refractive index with respect to the g-line (the wavelength of 435.8 nm), nF is a refractive index with respect to the F-line (the wavelength of 486.1 nm), and nC is a refractive index with respect to the C-line (the wavelength of 656.3 nm).

The sign with respect to the radius of curvature is provided such that a positive radius of curvature indicates a surface shape that is convex toward the object side, and a negative radius of curvature indicates a surface shape that is convex toward the image side. The basic lens data also includes data of the stop St and the optical members PP1 to PP3, and the surface number and the text “(stop)” are shown at the position in the column of the surface number corresponding to the stop St. In the lens data shown in Table 1, the value of each surface distance that is changed during magnification change is represented by the symbol “DD[i]”. The numerical value corresponding to each DD[i] is shown in Table 3.
The data about specifications shown in Table 2 show values of zoom magnification, focal length f′, back focus Bf′, F-number FNo., and full angle of view 2ω at the wide-angle end, at the middle position, and at the telephoto end, respectively.
With respect to the basic lens data, the data about specifications, and the data about distances between the surfaces to be moved, the unit of angle is degrees, and the unit of length is millimeters; however, any other suitable units may be used since optical systems are usable when they are proportionally enlarged or reduced.
In the lens data shown in Table 1, the symbol “*” is added to the surface number of each aspheric surface, and a numerical value of the paraxial radius of curvature is shown as the radius of curvature of each aspheric surface. In the data about aspheric coefficients shown in Table 4, the surface number of each aspheric surface and aspheric coefficients about each aspheric surface are shown. The aspheric coefficients are values of the coefficients KA and Am (where m=4, . . . , 20) in the formula of aspheric surface shown below:

Zd=C·h2/{1+(1−KA·C2·h2)1/2}+ΣAm·hm, 

where Zd is a depth of the aspheric surface (a length of a perpendicular line from a point with a height h on the aspheric surface to a plane that is tangent to the apex of the aspheric surface and perpendicular to the optical axis), h is the height (a distance from the optical axis), C is a reciprocal of the paraxial radius of curvature, and KA and Am are aspheric coefficients (where m=4, . . . , 20).








TABLE 1







Example 1 - Lens Data (n and ν are with respect to the d-line)













Radius






Surface No.
of Curvature
Surface Distance
n
ν
θg F















1
−236.10534
2.400
1.80610
33.27
0.58845


2
157.43462
2.845


*3
192.16845
13.024
1.43700
95.10
0.53364


4
−168.42983
0.120


5
248.55380
7.694
1.43387
95.18
0.53733


6
−416.66275
10.500


7
256.44800
6.805
1.43387
95.18
0.53733


8
−501.39871
0.120


9
150.67609
9.591
1.53775
74.70
0.53936


*10
−756.19829
0.800


11
72.94991
5.280
1.77250
49.60
0.55212


12
130.88458
DD[12]


*13
121.80578
1.060
2.00069
25.46
0.61364


14
20.15463
4.651


15
−84.56608
0.900
1.90043
37.37
0.57720


16
63.94706
1.481


17
−180.64142
5.968
1.89286
20.36
0.63944


18
−16.12200
0.900
1.90043
37.37
0.57720


19
130.38394
DD[19]


20
61.96315
4.562
1.67300
38.15
0.57545


21
−33.40200
0.900
1.88300
40.76
0.56679


22
−63.31710
DD[22]


23
−30.60474
0.910
1.75700
47.82
0.55662


24
51.15200
2.739
1.89286
20.36
0.63944


25
−233.01948
DD[25]


26 (stop)
∞
2.000


27
−268.65624
4.609
1.88300
40.76
0.56679


28
−49.51807
0.120


29
74.94268
6.256
1.56384
60.67
0.54030


30
−37.60100
1.000
1.95375
32.32
0.59015


31
−152.40146
DD[31]


32
212.20151
5.724
1.56883
56.36
0.54890


33
−51.95699
2.000


34
45.56887
5.283
1.48749
70.24
0.53007


35
−71.57700
1.000
1.95375
32.32
0.59015


36
56.80284
1.585


37
89.02575
5.940
1.48749
70.24
0.53007


38
−30.05700
1.000
1.95375
32.32
0.59015


39
−75.52274
3.238


40
75.90500
4.006
1.62004
36.26
0.58800


41
−75.90500
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000
1.60859
46.44


44
∞
13.200
1.51633
64.14


45
∞
10.809
















TABLE 2







Example 1 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
21.3


f′
8.285
41.424
176.465


Bf′
41.200
41.200
41.200


FNo.
1.86
1.86
2.62


2ω [°]
73.4
15.0
3.6
















TABLE 3







Example 1 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.000
45.902
61.224



DD[19]
3.310
5.383
1.410



DD[22]
63.825
6.492
5.425



DD[25]
10.907
15.153
1.052



DD[31]
35.551
41.663
45.482

















TABLE 4







Example 1 - Aspheric Coefficients









Surface No.











3
10
13














KA
 9.8642991E−01
 1.0000000E+00
1.0000000E+00


A4
−1.2462640E−07
−1.2850634E−07
7.6697877E−07


A6
 2.0237162E−10
 1.7897543E−10
−2.1568480E−08 


A8
−6.6893219E−13
−6.3703904E−13
3.3132934E−10


A10
 1.1791466E−15
 1.2212342E−15
−3.7535766E−12 


A12
−1.2683621E−18
−1.4488137E−18
3.9307690E−14


A14
 8.5755859E−22
 1.0949325E−21
−3.3973656E−16 


A16
−3.5569939E−25
−5.1382379E−25
1.8579245E−18


A18
 8.2700693E−29
 1.3659907E−28
−5.3987218E−21 


A20
−8.2523570E−33
−1.5726111E−32
6.3159012E−24









FIG. 14 shows aberration diagrams of the zoom lens of Example 1. The aberration diagrams shown at the top of FIG. 14 are those of spherical aberration, astigmatism, distortion, and lateral chromatic aberration at the wide-angle end in this order from the left side, the aberration diagrams shown at the middle of FIG. 14 are those of spherical aberration, astigmatism, distortion, and lateral chromatic aberration at the middle position in this order from the left side, and the aberration diagrams shown at the bottom of FIG. 14 are those of spherical aberration, astigmatism, distortion, and lateral chromatic aberration at the telephoto end in this order from the left side. The aberration diagrams of spherical aberration, astigmatism, and distortion show those with respect to the d-line (the wavelength of 587.6 nm), which is used as a reference wavelength. The aberration diagrams of spherical aberration show those with respect to the d-line (the wavelength of 587.6 nm), the C-line (the wavelength of 656.3 nm), the F-line (the wavelength of 486.1 nm), and the g-line (the wavelength of 435.8 nm) in the solid line, the long dashed line, the short dashed line, and the gray solid line, respectively. The aberration diagrams of astigmatism show those in the sagittal direction and the tangential direction in the solid line, and the short dashed line, respectively. The aberration diagrams of lateral chromatic aberration show those with respect to the C-line (the wavelength of 656.3 nm), the F-line (the wavelength of 486.1 nm), and the g-line (the wavelength of 435.8 nm) in the long dashed line, the short dashed line, and the gray solid line, respectively. These aberration diagrams show aberrations when the lens is focused on an object at infinity. The “FNo.” in the aberration diagrams of spherical aberration means “F-number”, and the “co” in the other aberration diagrams means “half angle of view”.
The above-described symbols, meanings and manners of description of the various data of Example 1 apply also to the examples described below, unless otherwise noted, and the same explanations are not repeated in the following description.
Next, a zoom lens of Example 2 is described. FIG. 2 is a sectional view illustrating the lens configuration of the zoom lens of Example 2. In the first lens group G1, lenses L11 to L13 form the first lens-group front group, lenses L14 to L15 form the first lens-group middle group, and the lens L16 forms the first lens group rear group. This is the same in Examples 3 to 12, which will be described alter, and the same explanation is not repeated in the following description. Table 5 shows basic lens data of the zoom lens of Example 2, Table 6 shows data about specifications of the zoom lens, Table 7 shows data about distances between the surfaces to be moved of the zoom lens, Table 8 shows data about aspheric coefficients of the zoom lens, and FIG. 15 shows aberration diagrams of the zoom lens.







TABLE 5







Example 2 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−243.86065
2.400
1.80610
33.27
0.58845


2
177.66564
3.792


*3
283.34249
10.828 
1.43700
95.10
0.53364


4
−180.25079
0.120


5
264.99700
7.859
1.43387
95.18
0.53733


6
−413.74587
10.500 


7
206.28622
8.013
1.43387
95.18
0.53733


8
−460.65008
0.120


9
162.60466
9.289
1.53775
74.70
0.53936


*10
−682.27905
0.800


11
70.28276
5.299
1.72916
54.68
0.54451


12
124.16732
DD[12]


*13
109.96365
1.060
2.00069
25.46
0.61364


14
19.45589
5.070


15
−62.72298
0.900
1.88300
40.76
0.56679


16
72.98998
1.380


17
−167.04654
5.684
1.89286
20.36
0.63944


18
−17.10952
0.900
1.90043
37.37
0.57720


19
1176.28395
DD[19]


20
69.45970
3.925
1.72047
34.71
0.58350


21
−45.32437
0.900
1.88300
40.76
0.56679


22
−107.28789
DD[22]


23
−31.99193
0.910
1.79952
42.22
0.56727


24
48.26012
3.006
1.89286
20.36
0.63944


25
−177.36664
DD[25]


26 (stop)
∞
2.133


27
−305.34285
3.373
1.90043
37.37
0.57720


28
−50.97470
0.120


29
91.18834
7.154
1.62041
60.29
0.54266


30
−34.82607
1.000
1.95375
32.32
0.59015


31
−149.36795
DD[31]


32
207.45390
4.442
1.56384
60.67
0.54030


33
−51.50920
2.000


34
46.57739
5.774
1.48749
70.24
0.53007


35
−68.86356
1.000
1.95375
32.32
0.59015


36
55.07947
1.585


37
80.97612
6.024
1.48749
70.24
0.53007


38
−30.37079
1.000
1.95375
32.32
0.59015


39
−73.71938
3.514


40
78.10738
3.919
1.63980
34.47
0.59233


41
−78.10740
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
10.767 
















TABLE 6







Example 2 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
21.3


f′
8.284
41.420
176.448


Bf′
41.159
41.159
41.159


FNo.
1.86
1.86
2.61


2ω[°]
73.6
15.0
3.6
















TABLE 7







Example 2 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.000
46.772
62.485



DD[19]
3.124
6.162
1.224



DD[22]
64.408
6.048
6.396



DD[25]
9.887
14.694
1.052



DD[31]
36.309
41.051
43.570

















TABLE 8







Example 2 - Aspheric Coefficients









Surface No.











3
10
13














KA
 9.8642991E−01
 1.0000000E+00
1.0000000E+00


A4
−6.9602057E−08
−8.3669305E−08
5.9323703E−07


A6
 9.7623781E−11
 8.7093038E−11
−1.1011450E−08 


A8
−4.7871767E−13
−4.1732391E−13
9.4777920E−11


A10
 9.4201269E−16
 8.4940921E−16
−1.2923764E−12 


A12
−1.0659628E−18
−1.0191577E−18
3.1324061E−14


A14
 7.3726243E−22
 7.6831823E−22
−4.0782384E−16 


A16
−3.0751761E−25
−3.5951152E−25
2.5937402E−18


A18
 7.1053868E−29
 9.5904004E−29
−7.9553394E−21 


A20
−6.9866751E−33
−1.1185971E−32
9.4395980E−24









Next, a zoom lens of Example 3 is described. FIG. 3 is a sectional view illustrating the lens configuration of the zoom lens of Example 3. Table 9 shows basic lens data of the zoom lens of Example 3, Table 10 shows data about specifications of the zoom lens, Table 11 shows data about distances between the surfaces to be moved of the zoom lens, Table 12 shows data about aspheric coefficients of the zoom lens, and FIG. 16 shows aberration diagrams of the zoom lens.







TABLE 9







Example 3 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−223.89709
2.400
1.80610
33.27
0.58845


2
181.30328
3.947


*3
291.37535
10.372 
1.43700
95.10
0.53364


4
−190.48789
0.120


5
321.66326
9.319
1.43387
95.18
0.53733


6
−213.32289
10.500 


7
190.95974
7.001
1.43387
95.18
0.53733


8
−1127.21143
0.120


9
166.80620
9.109
1.53775
74.70
0.53936


*10
−676.49213
0.800


11
69.56648
5.510
1.72916
54.68
0.54451


12
126.52654
DD[12]


*13
111.06652
1.060
2.00069
25.46
0.61364


14
19.42359
5.072


15
−62.07387
0.900
1.88300
40.76
0.56679


16
73.48097
1.374


17
−165.74131
5.604
1.89286
20.36
0.63944


18
−16.88700
0.900
1.90043
37.37
0.57720


19
1353.92461
DD[19]


20
69.60254
3.793
1.72047
34.71
0.58350


21
−45.14900
0.900
1.88300
40.76
0.56679


22
−111.03192
DD[22]


23
−32.15578
0.910
1.79952
42.22
0.56727


24
48.56600
3.016
1.89286
20.36
0.63944


25
−173.74811
DD[25]


26 (stop)
∞
2.022


27
−312.83550
3.354
1.90043
37.37
0.57720


28
−51.28294
0.120


29
90.83390
7.115
1.62041
60.29
0.54266


30
−34.81800
1.000
1.95375
32.32
0.59015


31
−149.34057
DD[31]


32
204.95892
4.490
1.56384
60.67
0.54030


33
−51.54583
2.000


34
46.62639
5.683
1.48749
70.24
0.53007


35
−68.64400
1.000
1.95375
32.32
0.59015


36
54.64218
1.585


37
80.49234
6.055
1.48749
70.24
0.53007


38
−30.31800
1.000
1.95375
32.32
0.59015


39
−73.27989
3.496


40
78.03169
3.923
1.63980
34.47
0.59233


41
−78.02873
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
10.843 
















TABLE 10







Example 3 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
21.3


f′
8.284
41.419
176.443


Bf′
41.235
41.235
41.235


FNo.
1.86
1.86
2.61


2ω[°]
73.6
15.0
3.6
















TABLE 11







Example 3 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.000
46.303
61.612



DD[19]
3.477
6.475
1.116



DD[22]
64.172
6.827
7.559



DD[25]
9.844
14.570
1.057



DD[31]
36.430
40.747
43.580

















TABLE 12







Example 3 - Aspheric Coefficients









Surface No.











3
10
13














KA
 9.8642991E−01
 1.0000000E+00
 1.0000000E+00


A4
−2.0443737E−07
−1.9759793E−07
−4.0111936E−07


A6
 5.2113987E−10
 4.2538645E−10
 4.2284834E−08


A8
−1.3220805E−12
−1.0780417E−12
−1.4832394E−09


A10
 2.0695939E−15
 1.6879171E−15
 2.6890060E−11


A12
−2.0822425E−18
−1.7028166E−18
−2.8226533E−13


A14
 1.3462273E−21
 1.1101349E−21
 1.7626695E−15


A16
−5.3947012E−25
−4.5208828E−25
−6.4576452E−18


A18
 1.2172155E−28
 1.0465917E−28
 1.2803584E−20


A20
−1.1801314E−32
−1.0527363E−32
−1.0616712E−23









Next, a zoom lens of Example 4 is described. FIG. 4 is a sectional view illustrating the lens configuration of the zoom lens of Example 4. Table 13 shows basic lens data of the zoom lens of Example 4, Table 14 shows data about specifications of the zoom lens, Table 15 shows data about distances between the surfaces to be moved of the zoom lens, Table 16 shows data about aspheric coefficients of the zoom lens, and FIG. 17 shows aberration diagrams of the zoom lens.







TABLE 13







Example 4 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−215.80213
2.400
1.80610
33.27
0.58845


2
197.18326
3.536


*3
286.13212
12.062 
1.43700
95.10
0.53364


4
−169.87346
0.120


5
468.28744
7.608
1.43387
95.18
0.53733


6
−237.75126
10.068 


7
173.44060
7.603
1.43387
95.18
0.53733


8
−933.36907
0.120


9
153.84105
8.478
1.53775
74.70
0.53936


*10
−772.13699
0.763


11
70.59065
5.113
1.72916
54.68
0.54451


12
117.64788
DD[12]


*13
96.67033
1.060
2.00069
25.46
0.61364


14
19.42359
5.137


15
−67.14845
0.900
1.88300
40.76
0.56679


16
59.16002
1.548


17
−412.66853
6.296
1.89286
20.36
0.63944


18
−15.92209
0.900
1.90043
37.37
0.57720


19
257.03997
DD[19]


20
53.39111
3.882
1.59730
41.60
0.57452


21
−58.64128
0.900
1.88663
24.45
0.61669


22
−82.21521
DD[22]


23
−31.03266
0.910
1.76342
47.58
0.55678


24
47.13178
2.659
1.89286
20.36
0.63944


25
−467.71125
DD[25]


26 (stop)
∞
2.000


27
−627.83665
3.907
1.91082
35.25
0.58224


28
−48.40704
1.193


29
65.76256
6.218
1.52335
75.53
0.52235


30
−37.43405
1.000
1.95375
32.32
0.59015


31
−150.88652
DD[31]


32
359.69355
4.320
1.54302
51.62
0.55747


33
−45.25678
0.397


34
54.81142
5.555
1.53775
74.70
0.53936


35
−47.59417
1.000
1.95375
32.32
0.59015


36
49.35996
1.163


37
56.75001
6.492
1.59854
64.49
0.53662


38
−28.37608
1.000
1.91082
35.25
0.58224


39
−157.17605
0.911


40
84.46724
6.150
1.71293
29.59
0.59942


41
−66.65386
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
11.308 
















TABLE 14







Example 4 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
21.3


f′
8.285
41.426
176.476


Bf′
41.700
41.700
41.700


FNo.
1.85
1.86
2.62


2ω[°]
73.2
15.0
3.6
















TABLE 15







Example 4 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
0.959
46.864
62.843



DD[19]
2.572
4.118
0.944



DD[22]
66.748
8.580
7.324



DD[25]
9.663
14.020
1.004



DD[31]
34.652
41.012
42.479

















TABLE 16







Example 4 - Aspheric Coefficients









Surface No.











3
10
13














KA
 1.0000000E+00
1.0000000E+00
 1.0000000E+00


A4
−1.0465170E−07
−1.0062442E−07 
−6.4190054E−07


A6
 5.6987961E−11
2.7005383E−11
 4.7400807E−08


A8
−2.8898590E−13
−1.4801685E−13 
−2.0579091E−09


A10
 5.7325201E−16
2.6853378E−16
 4.4913360E−11


A12
−6.4439975E−19
−2.5432327E−19 
−5.6865417E−13


A14
 4.3925069E−22
1.3454316E−22
 4.3490232E−15


A16
−1.7896856E−25
−3.7325840E−26 
−1.9879790E−17


A18
 3.9890887E−29
4.1841771E−30
 5.0102091E−20


A20
−3.7177421E−33
—
−5.3628464E−23









Next, a zoom lens of Example 5 is described. FIG. 5 is a sectional view illustrating the lens configuration of the zoom lens of Example 5. Table 17 shows basic lens data of the zoom lens of Example 5, Table 18 shows data about specifications of the zoom lens, Table 19 shows data about distances between the surfaces to be moved of the zoom lens, Table 20 shows data about aspheric coefficients of the zoom lens, and FIG. 18 shows aberration diagrams of the zoom lens.







TABLE 17







Example 5 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−240.25167
2.000
1.80610
33.27
0.58845


2
169.87028
4.254


*3
269.30524
13.458 
1.43700
95.10
0.53364


4
−161.30887
0.120


5
18447.86359
6.699
1.43387
95.18
0.53733


6
−204.17917
9.919


7
109.59520
5.605
1.43387
95.18
0.53733


8
212.78561
0.162


9
120.87764
13.801 
1.43387
95.18
0.53733


10
−188.62332
0.162


*11
72.67343
4.233
1.80400
46.58
0.55730


12
109.82011
DD[12]


*13
165.65756
0.800
2.00100
29.13
0.59952


14
19.42359
5.062


15
−77.73338
0.800
1.90043
37.37
0.57720


16
65.70080
1.325


17
−305.64252
6.630
1.89286
20.36
0.63944


18
−14.67054
1.000
1.90043
37.37
0.57720


19
−3642.75074
DD[19]


20
49.86597
4.366
1.60250
52.58
0.55628


21
−45.46259
1.000
1.67101
32.80
0.59182


22
−115.88465
DD[22]


23
−28.76871
1.173
1.78814
41.50
0.57014


24
40.96821
2.906
1.89286
20.36
0.63944


*25
−620.90513
DD[25]


26 (stop)
∞
2.074


27
33053.85083
4.183
1.91082
35.25
0.58224


28
−45.63857
2.053


29
73.56575
6.964
1.53165
53.78
0.55387


30
−35.51276
0.800
2.00000
28.00
0.60493


31
−119.46400
DD[31]


32
350.84398
4.371
1.54223
70.57
0.52944


33
−44.80815
0.178


34
60.90289
5.190
1.53337
73.90
0.52467


35
−45.52387
0.800
1.95375
32.32
0.59015


36
50.43866
0.797


37
64.32820
6.404
1.62489
60.17
0.54224


38
−28.10641
0.905
1.91082
35.25
0.58224


39
−145.26797
1.239


40
90.28889
9.774
1.75213
27.89
0.60421


41
−68.30829
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
11.017 
















TABLE 18







Example 5 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
22.1


f′
7.880
39.398
174.141


Bf′
41.408
41.408
41.408


FNo.
1.85
1.87
2.63


2ω[°]
76.6
15.8
3.6
















TABLE 19







Example 5 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.135
48.048
65.918



DD[19]
0.657
3.054
0.286



DD[22]
69.393
8.344
2.587



DD[25]
9.186
13.026
2.087



DD[31]
32.780
40.679
42.272

















TABLE 20





Example 5 - Aspheric Coefficients

















Surface No.











3
11
13





KA
 1.0000000E+00
1.0000000E+00
1.0000000E+00


A4
−2.7088112E−07
8.6195898E−08
2.4539169E−06


A6
 8.4081080E−10
−5.3096656E−10 
−2.7230169E−08 


A8
−2.1558352E−12
1.4072359E−12
4.7911782E−10


A10
 3.3033945E−15
−2.2955408E−15 
−7.9564470E−12 


A12
−3.1994957E−18
2.3772788E−18
1.0289046E−13


A14
 1.9687357E−21
−1.5654736E−21 
−8.8507685E−16 


A16
−7.4522783E−25
6.2026508E−25
4.6071065E−18


A18
 1.5802652E−28
−1.2695111E−28 
−1.3078324E−20 


A20
−1.4348776E−32
8.3529995E−33
1.5517302E−23














Surface No.




25







KA
1.0000000E+00



A4
2.0740789E−06



A6
−1.6500349E−07 



A8
7.1697692E−09



A10
−1.8667418E−10 



A12
3.0344013E−12



A14
−3.1035910E−14 



A16
1.9396811E−16



A18
−6.7635354E−19 



A20
1.0080293E−21










Next, a zoom lens of Example 6 is described. FIG. 6 is a sectional view illustrating the lens configuration of the zoom lens of Example 6. Table 21 shows basic lens data of the zoom lens of Example 6, Table 22 shows data about specifications of the zoom lens, Table 23 shows data about distances between the surfaces to be moved of the zoom lens, Table 24 shows data about aspheric coefficients of the zoom lens, and FIG. 19 shows aberration diagrams of the zoom lens.







TABLE 21







Example 6 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−242.16434
2.000
1.80610
33.27
0.58845


2
173.93400
4.173


*3
272.29046
13.395 
1.43700
95.10
0.53364


4
−162.21076
0.120


5
−8742.13697
6.525
1.43387
95.18
0.53733


6
−207.09108
10.052 


7
111.38647
5.652
1.43387
95.18
0.53733


8
215.11569
0.919


9
123.03541
14.053 
1.43387
95.18
0.53733


10
−183.12985
0.348


*11
72.29848
4.311
1.80400
46.58
0.55730


12
107.76577
DD[12]


*13
163.71211
0.800
2.00100
29.13
0.59952


14
19.42359
4.859


15
−77.10953
0.800
1.90043
37.37
0.57720


16
66.58048
1.211


17
−297.83021
6.804
1.89286
20.36
0.63944


18
−14.78641
1.000
1.90043
37.37
0.57720


19
−3067.67451
DD[19]


20
49.41699
3.481
1.60189
55.31
0.55173


21
−55.88589
1.000
1.67898
32.30
0.59299


22
−117.64884
DD[22]


23
−29.16163
0.810
1.78695
41.92
0.56913


24
41.44742
2.843
1.89286
20.36
0.63944


*25
−652.12092
DD[25]


26 (stop)
∞
2.000


27
19851.88864
4.053
1.91082
35.25
0.58224


28
−45.72411
1.827


29
73.12128
7.093
1.53277
53.78
0.55392


30
−35.39990
0.800
2.00000
28.00
0.60493


31
−120.36912
DD[31]


32
351.81506
4.185
1.54293
68.86
0.53196


33
−44.74539
0.167


34
61.00684
5.258
1.53388
72.31
0.52698


35
−45.60702
0.827
1.95375
32.32
0.59015


36
50.45295
0.860


37
64.25792
7.023
1.62331
60.71
0.54140


38
−28.11406
0.810
1.91082
35.25
0.58224


39
−147.46395
1.218


40
90.44283
9.761
1.75179
28.06
0.60381


41
−68.35612
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
11.194 
















TABLE 22







Example 6 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
22.1


f′
8.180
40.902
180.787


Bf′
41.585
41.585
41.585


FNo.
1.85
1.87
2.72


2ω[°]
74.4
15.2
3.6
















TABLE 23







Example 6 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.357
48.949
66.813



DD[19]
0.688
3.001
0.208



DD[22]
69.208
9.059
3.263



DD[25]
9.388
13.185
1.903



DD[31]
32.854
39.301
41.308

















TABLE 24





Example 6 - Aspheric Coefficients

















Surface No.











3
11
13





KA
 1.0000000E+00
1.0000000E+00
 1.0000000E+00


A4
−2.4107862E−07
6.8498898E−08
 1.7571788E−06


A6
 6.6204043E−10
−4.5258348E−10 
−6.4598450E−09


A8
−1.7130024E−12
1.2570427E−12
−1.5013996E−10


A10
 2.6402399E−15
−2.1935914E−15 
 4.2178872E−12


A12
−2.5718336E−18
2.4847262E−18
−4.4493537E−14


A14
 1.5907804E−21
−1.8384395E−21 
 2.0629067E−16


A16
−6.0511891E−25
8.5035347E−25
−1.1883197E−19


A18
 1.2894778E−28
−2.1903144E−28 
−2.2780455E−21


A20
−1.1769665E−32
2.3015675E−32
 5.7066079E−24














Surface No.




25







KA
1.0000000E+00



A4
1.7765879E−06



A6
−1.4254936E−07 



A8
6.2125206E−09



A10
−1.6284104E−10 



A12
2.6654383E−12



A14
−2.7438886E−14 



A16
1.7252189E−16



A18
−6.0507337E−19 



A20
9.0707385E−22










Next, a zoom lens of Example 7 is described. FIG. 7 is a sectional view illustrating the lens configuration of the zoom lens of Example 7. Table 25 shows basic lens data of the zoom lens of Example 7, Table 26 shows data about specifications of the zoom lens, Table 27 shows data about distances between the surfaces to be moved of the zoom lens, Table 28 shows data about aspheric coefficients of the zoom lens, and FIG. 20 shows aberration diagrams of the zoom lens.







TABLE 25







Example 7 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−221.32714
2.000
1.80610
33.27
0.58845


2
167.46923
4.112


*3
255.65874
13.370 
1.43700
95.10
0.53364


4
−158.00487
0.120


5
2982.92764
6.764
1.43387
95.18
0.53733


6
−204.05083
9.657


7
109.06860
5.753
1.43387
95.18
0.53733


8
218.65393
0.120


9
118.15584
13.856 
1.43387
95.18
0.53733


10
−188.82046
0.212


*11
74.66825
4.295
1.80400
46.58
0.55730


12
118.02937
DD[12]


*13
163.20635
0.800
2.00100
29.13
0.59952


14
19.42359
5.112


15
−78.68260
0.800
1.90043
37.37
0.57720


16
65.77577
1.327


17
−330.23329
7.040
1.89286
20.36
0.63944


18
−14.72362
1.000
1.90043
37.37
0.57720


19
−2158.87394
DD[19]


20
50.04896
4.292
1.60342
55.12
0.55200


21
−42.92221
1.000
1.67044
35.93
0.58570


22
−116.23916
DD[22]


23
−28.79905
1.033
1.78123
42.08
0.56908


24
41.15892
3.131
1.89286
20.36
0.63944


*25
−623.57369
DD[25]


26 (stop)
∞
2.140


27
9382.96068
4.130
1.91082
35.25
0.58224


28
−46.27122
2.260


29
74.40125
7.068
1.53028
54.33
0.55301


30
−35.56938
1.009
2.00000
28.00
0.60493


31
−123.93052
DD[31]


32
357.10727
4.452
1.54512
63.05
0.54056


33
−44.82436
0.120


34
61.39706
5.184
1.54161
73.60
0.52499


35
−45.61676
0.800
1.95375
32.32
0.59015


36
50.12688
0.831


37
64.31314
6.279
1.62873
60.20
0.54192


38
−28.10177
0.838
1.91082
35.25
0.58224


39
−148.59148
1.235


40
89.78181
9.652
1.75364
28.18
0.60357


41
−68.31992
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
11.020 
















TABLE 26







Example 7 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
19.4


f′
7.880
39.399
152.867


Bf′
41.410
41.410
41.410


Fno.
1.85
1.87
2.32


2ω[°]
76.6
15.6
4.2
















TABLE 27







Example 7 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.092
46.528
62.913



DD[19]
0.583
2.767
0.325



DD[22]
69.382
8.454
3.121



DD[25]
9.493
13.248
3.351



DD[31]
32.194
41.747
43.034

















TABLE 28





Example 7 - Aspheric Coefficients

















Surface No.











3
11
13





KA
 1.0000000E+00
 1.0000000E+00
1.0000000E+00


A4
−2.5564592E−07
 6.7326409E−08
3.4981553E−06


A6
 8.7625592E−10
−5.1505298E−10
−6.9508793E−08 


A8
−2.4663767E−12
 1.3427831E−12
1.7566819E−09


A10
 4.0586420E−15
−1.9062463E−15
−2.9945070E−11 


A12
−4.1707923E−18
 1.3262432E−18
3.3148926E−13


A14
 2.7033116E−21
−1.1180753E−22
−2.3371986E−15 


A16
−1.0726694E−24
−4.8024125E−25
1.0067924E−17


A18
 2.3760476E−28
 3.0871768E−28
−2.4103735E−20 


A20
−2.2476006E−32
−6.2373913E−32
2.4554358E−23














Surface No.




25







KA
1.0000000E+00



A4
2.3082770E−06



A6
−1.7481760E−07 



A8
7.3522756E−09



A10
−1.8542504E−10 



A12
2.9312755E−12



A14
−2.9321338E−14 



A16
1.8038353E−16



A18
−6.2324869E−19 



A20
9.2617319E−22










Next, a zoom lens of Example 8 is described. FIG. 8 is a sectional view illustrating the lens configuration of the zoom lens of Example 8. Table 29 shows basic lens data of the zoom lens of Example 8, Table 30 shows data about specifications of the zoom lens, Table 31 shows data about distances between the surfaces to be moved of the zoom lens, Table 32 shows data about aspheric coefficients of the zoom lens, and FIG. 21 shows aberration diagrams of the zoom lens.







TABLE 29







Example 8 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−224.44217
2.000
1.80610
33.27
0.58845


2
184.74111
3.478


*3
255.95001
13.139 
1.43700
95.10
0.53364


4
−167.70628
0.120


5
2176.65264
6.339
1.43387
95.18
0.53733


6
−207.74351
10.221 


7
112.19143
4.916
1.43387
95.18
0.53733


8
208.88617
0.141


9
123.52064
12.848 
1.43387
95.18
0.53733


10
−192.85031
0.471


*11
75.23698
4.080
1.80400
46.58
0.55730


12
117.86517
DD[12]


*13
170.91562
0.800
2.00100
29.13
0.59952


14
19.42359
4.762


15
−76.88205
0.800
1.90043
37.37
0.57720


16
65.92338
1.434


17
−326.87336
6.797
1.89286
20.36
0.63944


18
−14.88527
1.000
1.90043
37.37
0.57720


19
−1332.59849
DD[19]


20
50.11285
4.241
1.60514
54.19
0.55350


21
−41.48801
1.000
1.67051
34.21
0.58906


22
−116.83762
DD[22]


23
−29.28056
0.997
1.78480
42.20
0.56855


24
40.59795
3.083
1.89286
20.36
0.63944


*25
−880.24260
DD[25]


26 (stop)
∞
2.099


27
3213.98487
3.916
1.91082
35.25
0.58224


28
−46.53364
1.511


29
73.43708
6.903
1.53805
53.53
0.55448


30
−35.35261
0.800
1.99999
27.97
0.60506


31
−122.40701
DD[31]


32
357.23489
4.577
1.54667
63.93
0.53925


33
−44.79616
0.230


34
60.67153
5.302
1.54193
73.33
0.52538


35
−45.54953
0.800
1.95375
32.32
0.59015


36
49.83686
0.708


37
65.36944
6.231
1.62965
60.05
0.54211


38
−28.05082
0.800
1.91082
35.25
0.58224


39
−146.62404
1.510


40
90.27138
10.059 
1.75084
28.17
0.60353


41
−69.16650
0.300


42
∞
1.320
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
10.831 
















TABLE 30







Example 8 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
19.4


f′
8.185
40.923
158.782


Bf′
41.221
41.221
41.221


FNo.
1.85
1.86
2.37


2ω[°]
74.4
15.2
4.0
















TABLE 31







Example 8 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.336
48.663
65.527



DD[19]
1.004
2.944
0.517



DD[22]
68.225
8.286
3.223



DD[25]
9.160
12.934
3.335



DD[31]
32.187
39.084
39.311

















TABLE 32





Example 8 - Aspheric Coefficients

















Surface No.











3
11
13





KA
 1.0000000E+00
1.0000000E+00
1.0000000E+00


A4
−1.8736383E−07
4.6273400E−08
1.8081717E−06


A6
 4.8284192E−10
−4.3359085E−10 
4.2864188E−08


A8
−1.4001153E−12
1.3817174E−12
−2.1922327E−09 


A10
 2.3072947E−15
−2.7214189E−15 
4.9805438E−11


A12
−2.3650345E−18
3.5088272E−18
−6.4524971E−13 


A14
 1.5286517E−21
−3.0011821E−21 
5.0437676E−15


A16
−6.0552669E−25
1.6449065E−24
−2.3605723E−17 


A18
 1.3414675E−28
−5.2328897E−28 
6.1002435E−20


A20
−1.2723040E−32
7.3340298E−32
−6.7003430E−23 














Surface No.




25







KA
1.0000000E+00



A4
1.5397658E−06



A6
−1.2327698E−07 



A8
5.3663705E−09



A10
−1.3788295E−10 



A12
2.1950591E−12



A14
−2.1955598E−14 



A16
1.3446434E−16



A18
−4.6118086E−19 



A20
6.7900401E−22










Next, a zoom lens of Example 9 is described. FIG. 9 is a sectional view illustrating the lens configuration of the zoom lens of Example 9. Table 33 shows basic lens data of the zoom lens of Example 9, Table 34 shows data about specifications of the zoom lens, Table 35 shows data about distances between the surfaces to be moved of the zoom lens, Table 36 shows data about aspheric coefficients of the zoom lens, and FIG. 22 shows aberration diagrams of the zoom lens.







TABLE 33







Example 9 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−242.79686
2.500
1.80610
33.27
0.58845


2
149.46893
1.960


3
174.47401
11.486 
1.43387
95.18
0.53733


*4
−225.79409
0.120


5
−739.31515
5.004
1.43387
95.18
0.53733


6
−198.04546
9.035


7
85.78600
14.183 
1.43387
95.18
0.53733


8
−1497.21815
3.038


9
−385.00108
5.795
1.43387
95.18
0.53733


10
−136.13896
1.572


*11
72.32852
6.119
1.78800
47.37
0.55598


12
162.03560
DD[12]


*13
182.10920
0.800
2.00100
29.13
0.59952


14
18.87521
5.260


15
−73.41286
0.800
1.91082
35.25
0.58224


16
220.63551
0.998


17
−113.76569
6.812
1.89286
20.36
0.63944


18
−14.85434
1.000
1.90043
37.37
0.57720


19
364.92076
DD[19]


20
48.03301
2.849
1.74852
50.60
0.55091


21
−161.70118
1.000
1.89286
20.36
0.63944


*22
−304.40743
DD[22]


*23
−28.84332
0.810
1.83899
42.63
0.56360


24
34.02399
3.050
1.84661
23.88
0.62072


25
−204.63827
DD[25]


26 (stop)
∞
2.100


27
320.09289
3.162
2.00100
29.13
0.59952


28
−55.92957
0.120


29
116.58063
5.252
1.51599
64.23
0.53826


30
−33.79985
0.800
2.00100
29.13
0.59952


31
−94.54865
DD[31]


32
88.69842
5.457
1.51633
64.14
0.53531


33
−50.27183
0.120


34
39.25787
5.849
1.48749
70.24
0.53007


35
−61.05603
0.800
1.95375
32.32
0.59015


36
29.65362
0.997


37
29.70320
8.239
1.61500
62.31
0.53921


38
−30.24349
0.800
1.95370
24.80
0.61674


39
−272.66950
1.134


40
144.65471
3.091
1.95303
17.79
0.64166


41
−80.43761
0.300


42
∞
1.000
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
10.205 
















TABLE 34







Example 9 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
19.3


f′
8.196
41.228
158.191


Bf′
40.385
40.385
40.385


FNo.
1.88
1.87
2.37


2ω[°]
72.6
14.8
4.0
















TABLE 35







Example 9 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.161
45.444
60.896



DD[19]
1.091
4.422
2.385



DD[22]
60.186
4.838
12.401



DD[25]
9.939
12.336
1.095



DD[31]
38.281
43.618
33.882

















TABLE 36





Example 9 - Aspheric Coefficients

















Surface No.











4
11
13





KA
3.9037824E−01
 1.0000000E+00
1.0000000E+00


A4
1.5141259E−07
−6.2338098E−08
5.8354262E−06


A6
−2.9924496E−10 
−2.9270662E−10
5.5505835E−08


A8
5.8726417E−13
 5.3394072E−13
−2.5824538E−09 


A10
−6.5124480E−16 
−7.3671553E−16
5.8516843E−11


A12
4.7319900E−19
 6.7924116E−19
−7.7844069E−13 


A14
−2.2644236E−22 
−4.4858248E−22
6.2884312E−15


A16
7.0734534E−26
 2.0759834E−25
−3.0459599E−17 


A18
−1.3423934E−29 
−6.0993422E−29
8.1448306E−20


A20
1.1908587E−33
 8.3507726E−33
−9.2418228E−23 













Surface No.













22
23







KA
−5.0742153E+02
1.0000000E+00



A4
 1.8183499E−06
3.0018396E−07



A6
−5.6579384E−08
6.0029159E−08



A8
 2.8741852E−09
−3.3070585E−09 



A10
−7.5311255E−11
1.0130968E−10



A12
 1.1964776E−12
−1.7821863E−12 



A14
−1.1568254E−14
1.8426757E−14



A16
 6.5269060E−17
−1.0860614E−16 



A18
−1.9342408E−19
3.2823515E−19



A20
 2.2501369E−22
−3.7553553E−22 










Next, a zoom lens of Example 10 is described. FIG. 10 is a sectional view illustrating the lens configuration of the zoom lens of Example 10. Table 37 shows basic lens data of the zoom lens of Example 10, Table 38 shows data about specifications of the zoom lens, Table 39 shows data about distances between the surfaces to be moved of the zoom lens, Table 40 shows data about aspheric coefficients of the zoom lens, and FIG. 23 shows aberration diagrams of the zoom lens.







TABLE 37







Example 10 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−222.63126
2.500
1.80610
33.27
0.58845


2
145.93420
2.278


3
177.12389
13.992 
1.43387
95.18
0.53733


*4
−213.90145
0.120


5
−683.50382
7.000
1.43387
95.18
0.53733


6
−185.04502
8.358


7
85.52950
14.807 
1.43387
95.18
0.53733


8
−1103.67602
1.683


9
−381.76332
5.890
1.43387
95.18
0.53733


10
−137.94856
2.318


*11
73.13339
6.111
1.78800
47.37
0.55598


12
162.60559
DD[12]


*13
179.22293
0.800
2.00100
29.13
0.59952


14
18.97045
5.342


15
−72.64131
0.800
1.91082
35.25
0.58224


16
233.53242
0.997


17
−113.72219
6.935
1.89286
20.36
0.63944


18
−14.85434
1.000
1.90043
37.37
0.57720


19
368.97277
DD[19]


20
48.04797
2.863
1.74448
51.77
0.54857


21
−160.25034
1.000
1.89286
20.36
0.63944


*22
−299.89763
DD[22]


*23
−28.50548
0.810
1.83880
42.65
0.56356


24
35.28046
2.992
1.84661
23.88
0.62072


25
−185.13551
DD[25]


26 (stop)
∞
2.100


27
436.10852
2.931
2.00100
29.13
0.59952


28
−59.01731
2.945


29
134.52672
5.273
1.54724
63.18
0.54037


30
−33.05036
0.800
2.00100
29.13
0.59952


31
−83.53831
DD[31]


32
93.55317
5.289
1.51633
64.14
0.53531


33
−50.43912
0.120


34
40.32268
5.827
1.48749
70.24
0.53007


35
−57.95691
0.800
1.95375
32.32
0.59015


36
31.69357
0.961


37
31.38593
7.836
1.59920
64.74
0.53617


38
−31.81357
0.800
1.95371
30.56
0.59624


39
−183.92038
0.746


40
146.23557
4.203
1.88225
21.44
0.62596


41
−78.97938
0.300


42
∞
1.000
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
10.403 
















TABLE 38







Example 10 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.0
19.3


f′
7.886
39.667
152.200


Bf′
40.582
40.582
40.582


FNo.
1.88
1.87
2.31


2ω[°]
68.8
14.0
3.8
















TABLE 39







Example 10 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.122
45.815
61.469



DD[19]
1.088
4.974
3.185



DD[22]
60.799
4.675
11.979



DD[25]
10.322
12.454
1.092



DD[31]
40.944
46.356
36.550

















TABLE 40





Example 10 - Aspheric Coefficients

















Surface No.











4
11
13





KA
3.9037824E−01
 1.0000000E+00
1.0000000E+00


A4
1.5930638E−07
−5.6035431E−08
5.8904011E−06


A6
−3.9388856E−10 
−3.3537701E−10
9.3953194E−08


A8
7.3292759E−13
 5.6173978E−13
−4.1994284E−09 


A10
−7.9635455E−16 
−6.9622958E−16
9.5299584E−11


A12
5.8518578E−19
 5.8785097E−19
−1.2723867E−12 


A14
−2.9694185E−22 
−3.7351231E−22
1.0329258E−14


A16
1.0237514E−25
 1.7505973E−25
−5.0182447E−17 


A18
−2.1638350E−29 
−5.3442204E−29
1.3406091E−19


A20
2.0843452E−33
 7.5983247E−33
−1.5127209E−22 













Surface No.













22
23







KA
−5.0742153E+02
1.0000000E+00



A4
 1.6897153E−06
4.5420100E−07



A6
−2.6249696E−08
4.4568780E−08



A8
 7.0093711E−10
−2.3684016E−09 



A10
 5.6435709E−12
7.1266084E−11



A12
−5.3655894E−13
−1.2325702E−12 



A14
 1.0575808E−14
1.2530303E−14



A16
−1.0094913E−16
−7.2065993E−17 



A18
 4.8151827E−19
2.0779288E−19



A20
−9.1781023E−22
−2.1309351E−22 










Next, a zoom lens of Example 11 is described. FIG. 11 is a sectional view illustrating the lens configuration of the zoom lens of Example 11. Table 41 shows basic lens data of the zoom lens of Example 11, Table 42 shows data about specifications of the zoom lens, Table 43 shows data about distances between the surfaces to be moved of the zoom lens, Table 44 shows data about aspheric coefficients of the zoom lens, and FIG. 24 shows aberration diagrams of the zoom lens.







TABLE 41







Example 11 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−181.75186
2.500
1.80610
33.27
0.58845


2
199.64760
1.579


3
226.50235
9.158
1.43387
95.18
0.53733


*4
−566.82792
0.120


5
−6421.52351
10.133 
1.43387
95.18
0.53733


6
−127.39359
8.265


7
89.06180
16.655 
1.43387
95.18
0.53733


8
−423.24377
1.801


9
−302.52373
5.295
1.43387
95.18
0.53733


10
−142.92027
2.596


*11
73.55268
5.841
1.78800
47.37
0.55598


12
149.24825
DD[12]


*13
715.23275
0.800
2.00100
29.13
0.59952


14
19.27535
5.600


15
−57.75403
0.800
1.91082
35.25
0.58224


16
755.37489
0.204


17
−2964.48041
7.714
1.89286
20.36
0.63944


18
−15.08497
1.000
1.90043
37.37
0.57720


19
281.29673
DD[19]


20
40.62722
5.017
1.75714
49.82
0.55196


21
−756.91365
1.000
1.89286
20.36
0.63944


*22
239.99576
DD[22]


*23
−28.98640
0.810
1.83901
42.63
0.56360


24
43.34709
2.679
1.84661
23.88
0.62072


25
−137.35859
DD[25]


26 (stop)
∞
2.100


27
1010.84224
3.362
2.00100
29.13
0.59952


28
−50.02966
1.018


29
83.56656
5.828
1.51599
64.38
0.53805


30
−36.45831
0.800
2.00100
29.13
0.59952


31
−169.72957
DD[31]


32
78.49486
5.235
1.51633
64.14
0.53531


33
−59.19505
0.140


34
35.80047
4.832
1.48749
70.24
0.53007


35
−207.03961
0.800
1.95375
32.32
0.59015


36
26.40607
1.104


37
27.15449
8.288
1.51609
76.65
0.52070


38
−33.10806
0.800
1.93701
34.30
0.58368


39
−130.40893
2.257


40
158.96169
4.523
1.82981
23.51
0.61780


41
−78.91844
0.300


42
∞
1.000
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
10.424 
















TABLE 42







Example 11 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.2
22.2


f′
8.196
42.289
181.531


Bf′
40.604
40.604
40.604


FNo.
1.87
1.87
2.63


2ω[°]
66.8
13.2
3.2
















TABLE 43







Example 11 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.503
46.648
62.122



DD[19]
1.079
5.358
2.051



DD[22]
61.291
5.240
14.325



DD[25]
12.128
14.907
1.071



DD[31]
40.700
44.547
37.132

















TABLE 44





Example 11 - Aspheric Coefficients

















Surface No.











4
11
13





KA
3.9037824E−01
 1.0000000E+00
1.0000000E+00


A4
1.8955344E−07
−6.7992348E−08
9.8123151E−06


A6
−2.5979418E−10 
−2.3498651E−10
3.4172397E−08


A8
5.5741300E−13
 4.4048679E−13
−2.1946711E−09 


A10
−7.0429422E−16 
−6.7814207E−16
4.9808556E−11


A12
6.1849050E−19
 7.4003938E−19
−6.4135300E−13 


A14
−3.7324587E−22 
−5.8014804E−22
4.9785743E−15


A16
1.4647253E−25
 3.0051516E−25
−2.3166168E−17 


A18
−3.3208608E−29 
−9.0931637E−29
5.9615225E−20


A20
3.2643607E−33
 1.2034512E−32
−6.5234416E−23 













Surface No.













22
23







KA
−5.0742153E+02
1.0000000E+00



A4
 9.3739214E−06
6.6054306E−07



A6
−3.6906085E−08
−2.2776331E−09 



A8
 9.2500624E−10
5.4565746E−10



A10
−2.8514633E−11
−3.0939176E−11 



A12
 5.9183875E−13
8.4692884E−13



A14
−7.3876189E−15
−1.2538868E−14 



A16
 5.3289109E−17
1.0336716E−16



A18
−2.0447477E−19
−4.4507341E−19 



A20
 3.2228574E−22
7.7379069E−22










Next, a zoom lens of Example 12 is described. FIG. 12 is a sectional view illustrating the lens configuration of the zoom lens of Example 12. Table 45 shows basic lens data of the zoom lens of Example 12, Table 46 shows data about specifications of the zoom lens, Table 47 shows data about distances between the surfaces to be moved of the zoom lens, Table 48 shows data about aspheric coefficients of the zoom lens, and FIG. 25 shows aberration diagrams of the zoom lens.







TABLE 45







Example 12 - Lens Data (n and ν are with respect to the d-line)












Surface
Radius of
Surface





No.
Curvature
Distance
n
ν
θg F















1
−220.28834
2.500
1.80610
33.27
0.58845


2
148.43551
0.643


3
144.50705
10.515 
1.43387
95.18
0.53733


*4
3665.39059
2.043


5
2879.98814
11.935 
1.43387
95.18
0.53733


6
−128.40314
8.686


7
88.70081
18.071 
1.43387
95.18
0.53733


8
−461.21334
3.002


9
−208.94887
5.750
1.43387
95.18
0.53733


10
−129.90866
2.479


*11
73.86033
6.543
1.78800
47.37
0.55598


12
167.02084
DD[12]


*13
289.15981
0.800
2.00100
29.13
0.59952


14
18.76465
6.032


15
−51.87727
0.800
1.91082
35.25
0.58224


16
123.47024
0.120


17
99.95738
8.436
1.89286
20.36
0.63944


18
−15.43977
1.000
1.90043
37.37
0.57720


19
128.94908
DD[19]


20
36.90904
4.678
1.72582
55.16
0.54282


21
−341.17682
1.000
1.89286
20.36
0.63944


*22
285.56435
DD[22]


*23
−27.99616
0.810
1.83901
42.63
0.56360


24
44.60833
2.682
1.84661
23.88
0.62072


25
−128.84922
DD[25]


26 (stop)
∞
2.100


27
1638.05225
3.396
2.00100
29.13
0.59952


28
−48.54602
0.976


29
85.70766
6.107
1.51599
64.39
0.53805


30
−35.65632
0.800
2.00100
29.13
0.59952


31
−153.85119
DD[31]


32
88.20453
5.187
1.51633
64.14
0.53531


33
−56.43156
0.146


34
33.92977
4.969
1.48749
70.24
0.53007


35
−258.98978
0.800
1.95375
32.32
0.59015


36
26.15479
1.088


37
26.73511
8.368
1.51600
71.81
0.52754


38
−32.82290
0.800
1.95367
32.63
0.58885


39
−143.02370
2.267


40
153.17400
3.224
1.82246
23.88
0.61652


41
−78.84468
0.300


42
∞
1.000
1.51633
64.14


43
∞
33.000 
1.60859
46.44


44
∞
13.200 
1.51633
64.14


45
∞
10.418 
















TABLE 46







Example 12 - Specifications (d-line)











Wide-Angle End
Middle
Telephoto End














Zoom Magnification
1.0
5.2
22.2


f′
7.885
40.686
174.651


Bf′
40.597
40.597
40.597


FNo.
1.88
1.87
2.52


2ω[°]
68.8
13.8
3.2
















TABLE 47







Example 12 - Distances Relating to Zoom











Wide-Angle End
Middle
Telephoto End
















DD[12]
1.205
46.519
62.263



DD[19]
1.081
4.831
3.810



DD[22]
61.399
5.603
10.927



DD[25]
11.706
14.729
1.080



DD[31]
40.610
44.319
37.921

















TABLE 48





Example 12 - Aspheric Coefficients

















Surface No.











4
11
13





KA
3.9037824E−01
 1.0000000E+00
1.0000000E+00


A4
1.5866563E−07
−8.9181060E−08
9.9054268E−06


A6
−8.1363474E−11 
−1.2862393E−10
3.8349848E−08


A8
5.5955206E−14
 1.5179790E−13
−2.3922613E−09 


A10
1.2432558E−16
−2.1835099E−16
5.4810398E−11


A12
−2.4241647E−19 
 2.8733824E−19
−7.0625417E−13 


A14
1.9209953E−22
−3.0473094E−22
5.4273089E−15


A16
−8.0565621E−26 
 2.0199727E−25
−2.4749970E−17 


A18
1.7565861E−29
−7.2447428E−29
6.1889389E−20


A20
−1.5711250E−33 
 1.0683067E−32
−6.5371001E−23 













Surface No.













22
23







KA
−5.0742153E+02
1.0000000E+00



A4
 9.2957188E−06
4.5026773E−07



A6
−7.0473187E−08
2.2464195E−08



A8
 3.1041253E−09
−7.5483647E−10 



A10
−8.8458746E−11
1.0126281E−11



A12
 1.5514234E−12
7.4281351E−14



A14
−1.6672576E−14
−3.9125133E−15 



A16
 1.0623582E−16
4.7689418E−17



A18
−3.6663874E−19
−2.5435869E−19 



A20
 5.2559006E−22
5.0687574E−22










Table 49 shows values corresponding to the condition expressions (1) to (4) of the zoom lenses of Examples 1 to 12. In all the examples, the d-line is used as a reference wavelength, and the values shown in Table 49 below are with respect to the reference wavelength.














TABLE 49








Condition
Example
Example
Example
Example
Example
Example


No.
Expression
1
2
3
4
5
6





(1)
d2T/d2W
0.426
0.392
0.321
0.367
0.436
0.303


(2)
f2/f3
−0.205
−0.179
−0.175
−0.199
−0.200
−0.204


(3)
νL
36.26
34.47
34.47
29.59
27.89
28.06


(4)
θgFL
0.58800
0.59233
0.59233
0.59942
0.60421
0.60381






Condition
Example
Example
Example
Example
Example
Example


No.
Expression
7
8
9
10
11
12





(1)
d2T/d2W
0.558
0.515
2.186
2.928
1.901
3.525


(2)
f2/f3
−0.200
−0.201
−0.210
−0.210
−0.190
−0.196


(3)
νL
28.18
28.17
17.79
21.44
23.51
23.88


(4)
θgFL
0.60357
0.60353
0.64166
0.62596
0.61780
0.61652









As can be seen from the above-described data, each of the zoom lenses of Example 1 to 12 satisfies the condition expressions (1) to (4), and thus is a high magnification and compact zoom lens with successfully corrected aberrations.
Next, an imaging apparatus according to an embodiment of the disclosure is described. FIG. 26 is a diagram illustrating the schematic configuration of an imaging apparatus employing the zoom lens of any of the embodiments of the disclosure, which is one example of the imaging apparatus of the embodiment of the disclosure. It should be noted that the lens groups are schematically shown in FIG. 26. Examples of the imaging apparatus may include a video camera and an electronic still camera which include a solid-state image sensor, such as a CCD (Charge Coupled Device) or CMOS (Complementary Metal Oxide Semiconductor), as a recording medium.
The imaging apparatus 10 shown in FIG. 26 includes a zoom lens 1; a filter 6 having a function of a low-pass filter, etc., disposed on the image side of the zoom lens 1; an image sensor 7 disposed on the image side of the filter 6; and a signal processing circuit 8. The image sensor 7 converts an optical image formed by the zoom lens 1 into an electric signal. As the image sensor 7, a CCD or a CMOS, for example, may be used. The image sensor 7 is disposed such that the imaging surface thereof is positioned in the same position as the image plane of the zoom lens 1.
An image taken through the zoom lens 1 is formed on the imaging surface of the image sensor 7. Then, a signal about the image outputted from the image sensor 7 is processed by the signal processing circuit 8, and the image is displayed on a display unit 9.
The imaging apparatus 10, which is provided with the zoom lens 1 of the embodiments of the disclosure, can be formed as a compact imaging apparatus, and allows obtaining high magnification and high image quality images.
The disclosure has been described with reference to the embodiments and the examples. However, the present disclosure is not limited to the above-described embodiments and examples, and various modifications may be made to the embodiments and examples. For example, the values of the radius of curvature, the surface distance, the refractive index, the Abbe number, etc., of each lens element are not limited to the values shown in the above-described numerical examples and may take different values.

## Claims

1. A zoom lens consisting of, in order from an object side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, a third lens group having a positive refractive power, a fourth lens group having a negative refractive power, a fifth lens group having a positive refractive power, and a sixth lens group having a positive refractive power,
wherein magnification change is effected by changing all distances between adjacent lens groups,
the second lens group is moved from the object side toward an image side during magnification change from a wide-angle end to a telephoto end, and
the position of the third lens group at the telephoto end is nearer to the image side than the position of the third lens group at the wide-angle end.

2. The zoom lens as claimed in claim 1, wherein the condition expression (1) below is satisfied:


0.2<d2T/d2W<5  (1),


where d2T is an axial air space between the second lens group and the third lens group at the telephoto end, and d2W is an axial air space between the second lens group and the third lens group at the wide-angle end.

3. The zoom lens as claimed in claim 1, wherein a distance between the second lens group and the third lens group during magnification change from the wide-angle end to the telephoto end is once increased and then is decreased.

4. The zoom lens as claimed in claim 1, wherein the condition expression (2) below is satisfied:


−0.3<f2/f3<−0.1  (2),


where f2 is a focal length of the second lens group, and f3 is a focal length of the third lens group.

5. The zoom lens as claimed in claim 1, wherein a stop is disposed between the fourth lens group and the fifth lens group.

6. The zoom lens as claimed in claim 1, wherein an axial air space between the fourth lens group and the fifth lens group at the telephoto end is smaller than an axial air space between the fourth lens group and the fifth lens group at the wide-angle end.

7. The zoom lens as claimed in claim 1, wherein the sixth lens group is fixed relative to an image plane during magnification change.

8. The zoom lens as claimed in claim 1, wherein the condition expression (3) below is satisfied:


15<vL<45  (3),


where vL is an Abbe number with respect to the d-line of the most image-side lens of the sixth lens group.

9. The zoom lens as claimed in claim 1, wherein the condition expression (4) below is satisfied:


0.57<θgFL<0.7  (4),


where θgFL is a partial dispersion ratio of the most image-side lens of the sixth lens group.

10. The zoom lens as claimed in claim 1, wherein focusing from infinity to a closer object is effected by moving only the entire first lens group or only a part of lenses forming the first lens group along the optical axis.

11. The zoom lens as claimed in claim 1, wherein the first lens group consists of, in order from the object side, a first lens-group front group, a first lens-group middle group having a positive refractive power, and a first lens group rear group having a positive refractive power,
the first lens-group front group is fixed relative to the image plane during focusing,
the first lens-group middle group is moved from the image side toward the object side during focusing from infinity to a closer object, and
the first lens-group rear group is moved from the image side toward the object side during focusing from infinity to a closer object along a locus of movement that is different from a locus of movement of the first lens-group middle group.

12. The zoom lens as claimed in claim 11, wherein the first lens-group front group consists of, in order from the object side, a negative lens, a positive lens, and a positive lens.

13. The zoom lens as claimed in claim 11, wherein a mean refractive index with respect to the d-line of the positive lens forming the first lens-group rear group is higher than a mean refractive index with respect to the d-line of the positive lens forming the first lens-group middle group.

14. The zoom lens as claimed in claim 1, wherein the sixth lens group comprises at least two positive lenses.

15. The zoom lens as claimed in claim 1, wherein the sixth lens group consists of, in order from the object side, a positive single lens, a cemented lens formed by two lenses cemented together wherein one of the two lenses is a positive lens and the other of the two lenses is a negative lens, a cemented lens formed by two lenses cemented together wherein one of the two lenses is a positive lens and the other of the two lenses is a negative lens, and a positive single lens.

16. The zoom lens as claimed in claim 1, wherein the condition expression (1-1) below is satisfied:


0.25<d2T/d2W<4  (1-1),


where d2T is an axial air space between the second lens group and the third lens group at the telephoto end, and d2W is an axial air space between the second lens group and the third lens group at the wide-angle end.

17. The zoom lens as claimed in claim 1, wherein the condition expression (2-1) below is satisfied:


−0.25<f2/f3<−0.15  (2−1),


where f2 is a focal length of the second lens group, and f3 is a focal length of the third lens group.

18. The zoom lens as claimed in claim 1, wherein the condition expression (3-1) below is satisfied:


17<vL<40  (3-1),


where vL is an Abbe number with respect to the d-line of the most image-side lens of the sixth lens group.

19. The zoom lens as claimed in claim 1, wherein the condition expression (4-1) below is satisfied:


0.58<θgFL<0.66  (4-1),


where θgFL is a partial dispersion ratio of the most image-side lens of the sixth lens group.

20. An imaging apparatus comprising the zoom lens as claimed in claim 1.