JP2011081063A5 - - Google Patents

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JP2011081063A5
JP2011081063A5 JP2009231314A JP2009231314A JP2011081063A5 JP 2011081063 A5 JP2011081063 A5 JP 2011081063A5 JP 2009231314 A JP2009231314 A JP 2009231314A JP 2009231314 A JP2009231314 A JP 2009231314A JP 2011081063 A5 JP2011081063 A5 JP 2011081063A5
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variable
principal point
point position
focal length
length
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JP2009231314A
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JP2011081063A (en
JP5430332B2 (en
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０．０４５＜|ＷＬ２／ｆ２|＜１．９４５ ・・・（３ａ）
０．９０５＜|ｆ１／ｆ２|＜６．０００ ・・・（４ａ）
また各実施例のズームレンズを、該ズームレンズによって形成される像を受光する固体撮像素子とを有する撮像装置に用いるときには、第４レンズ群Ｃの焦点距離をｆ４、固体撮像素子のイメージサイズの対角長をφとする。このとき、
２．５＜|ｆ４／φ|＜７．３ ・・・（５）
なる条件を満足するのが良い。条件式（５）は第４レンズ群Ｃの焦点距離をｆ４に対する固体撮像素子の対角長φとの比に関する。条件式（５）の下限を下回ると、第４レンズ群Ｃの屈折力が大きくなるため、変倍に伴う収差変動の補正が困難になる。また、広角端において第２レンズ群Ｖ１及び第３レンズ群Ｖ２に入射する軸外光線の高さが増大し、第２レンズ群Ｖ１及び第３レンズ群Ｖ２の有効径が増大し大型化してくる。また条件式（５）の上限を上回ると、第４レンズ群Ｃのズーミングの際の移動量が増大し、レンズ全長が大型化してくるので良くない。更に好ましくは条件式（５）の数値範囲を次の如く設定するのが良い。 0.045 <| WL2 / f2 | <1.945 (3a)
0.905 <| f1 / f2 | <6.0000 (4a)
Further, when the zoom lens of each embodiment is used in an imaging apparatus having a solid-state imaging device that receives an image formed by the zoom lens, the focal length of the fourth lens group C is f4, and the image size of the solid-state imaging device. Let the diagonal length be φ. At this time,
2.5 <| f4 / φ | <7.3 (5)
It is good to satisfy the condition. Conditional expression (5) relates to the ratio of the focal length of the fourth lens unit C to the diagonal length φ of the solid-state imaging device with respect to f4. If the lower limit of conditional expression (5) is not reached, the refractive power of the fourth lens unit C becomes large, and it becomes difficult to correct aberration fluctuations associated with zooming. Further, the height of off-axis rays incident on the second lens group V1 and the third lens group V2 at the wide angle end increases, and the effective diameters of the second lens group V1 and the third lens group V2 increase, resulting in an increase in size. . If the upper limit of conditional expression (5) is exceeded, the amount of movement of the fourth lens group C during zooming increases, and the overall length of the lens increases, which is not good. More preferably, the numerical range of conditional expression (5) is set as follows.

（数値実施例１）
面番号 r d nd νd θgF 有効径 焦点距離
1 -1079.08951 2.88000 1.834807 42.72 0.5636 103.369 -228.600
2 233.69097 1.00000 1.000000 0.00 0.0000 102.751 0.000
3 226.90494 11.92168 1.433870 95.10 0.5373 103.354 302.506
4 -308.20511 10.70000 1.000000 0.00 0.0000 103.636 0.000
5 339.23452 7.94929 1.433870 95.10 0.5373 105.748 479.860
6 -538.65223 0.20000 1.000000 0.00 0.0000 105.724 0.000
7 161.87330 10.04468 1.433870 95.10 0.5373 104.415 389.421
8 3582.51796 0.20000 1.000000 0.00 0.0000 103.913 0.000
9 108.21561 9.44880 1.433870 95.10 0.5373 99.206 390.726
10 290.02426 (可変) 1.000000 0.00 0.0000 98.276 0.000

11 197.14982 1.50000 1.882997 40.78 0.5668 40.698 -50.219
12 36.24305 6.77722 1.000000 0.00 0.0000 36.224 0.000
13 -99.80476 7.02902 1.808095 22.76 0.6307 36.054 54.038
14 -31.56279 1.50000 1.729157 54.68 0.5444 35.608 -39.405
15 343.45252 (可変) 1.000000 0.00 0.0000 33.980 0.000

16 -46.23776 3.72394 1.639799 34.46 0.5923 22.474 92.517
17 -26.85894 1.22784 1.729157 54.68 0.5444 22.996 -47.902
18 -116.81810 (可変) 1.000000 0.00 0.0000 23.775 0.000

19 -46.54544 1.30000 1.717004 47.92 0.5606 27.760 -37.391
20 64.71945 3.07714 1.846490 23.90 0.6217 29.750 86.594
21 503.70490 (可変) 1.000000 0.00 0.0000 30.253 0.000

22 開口絞り 1.38000 1.000000 0.00 0.0000 39.337 0.000
23 1246.11576 7.40356 1.607379 56.81 0.5483 40.376 79.026
24 -50.02676 0.15000 1.000000 0.00 0.0000 41.451 0.000
25 253.67223 5.08566 1.518229 58.90 0.5456 41.944 145.500
26 -107.17397 0.35000 1.000000 0.00 0.0000 41.948 0.000
27 41.46536 10.10408 1.487490 70.23 0.5300 40.354 59.386
28 -89.24120 1.50000 1.834000 37.17 0.5774 39.027 -100.594
29 1578.39698 0.15000 1.000000 0.00 0.0000 37.901 0.000
30 35.86725 7.87102 1.487490 70.23 0.5300 35.360 63.199
31 -207.69417 1.50000 1.882997 40.76 0.5667 33.524 -28.900
32 29.38643 50.00000 1.000000 0.00 0.0000 30.232 0.000
33 -85.92161 4.02457 1.517417 52.43 0.5564 32.362 114.863
34 -35.78994 3.94074 1.000000 0.00 0.0000 32.626 0.000
35 49.62253 1.20000 1.785896 44.20 0.5631 29.627 -74.738
36 26.67634 7.52549 1.517417 52.43 0.5564 28.309 42.107
37 -110.11920 2.01000 1.000000 0.00 0.0000 27.515 0.000
38 65.03544 4.95279 1.517417 52.43 0.5564 24.960 58.514
39 -55.64153 1.20000 1.834807 42.72 0.5636 23.612 -25.832
40 35.88288 1.00867 1.000000 0.00 0.0000 22.105 0.000
41 31.22383 3.66415 1.487490 70.23 0.5300 21.994 63.835
42 960317.48701 3.80000 1.000000 0.00 0.0000 21.723 0.000
43 0.00000 34.37500 1.608590 46.44 0.5664 31.250 0.000
44 0.00000 13.75000 1.516800 64.17 0.5347 31.250 0.000
45 0.00000 1.000000 0.00 0.0000 31.250 0.000


各種データ
ズーム比 40.00
広角 中間 望遠
焦点距離 11.00 51.80 440.00
Fナンバー 2.10 2.10 4.30
半画角（度） 26.57 6.06 0.72
像高 5.50 5.50 5.50
レンズ全長 392.89 392.89 392.89
BF 10.00 10.00 10.00

d10 0.70 76.53 117.47
d15 44.46 19.38 5.14
d18 76.60 15.63 11.13
d21 13.70 23.92 1.73

入射瞳位置 79.94 383.92 1867.48
射出瞳位置 1951.42 1951.42 1951.42
前側主点位置 91.00 437.10 2407.20
後側主点位置 -1.00 -41.80 -430.00

ズームレンズ群データ
群 始面 焦点距離 レンズ構成長 前側主点位置 後側主点位置
1 1 155.37 54.34 32.37 -7.09
2 11 -35.02 16.81 2.74 -9.34
3 16 -92.82 4.95 -1.04 -4.07
4 19 -66.06 4.38 0.17 -2.24
5 22 85.40 166.94 88.95 -190.90 (Numerical example 1)
Surface number rd nd νd θgF Effective diameter Focal length
1 -1079.08951 2.88000 1.834807 42.72 0.5636 103.369 -228.600
2 233.69097 1.00000 1.000000 0.00 0.0000 102.751 0.000
3 226.90494 11.92168 1.433870 95.10 0.5373 103.354 302.506
4 -308.20511 10.70000 1.000000 0.00 0.0000 103.636 0.000
5 339.23452 7.94929 1.433870 95.10 0.5373 105.748 479.860
6 -538.65223 0.20000 1.000000 0.00 0.0000 105.724 0.000
7 161.87330 10.04468 1.433870 95.10 0.5373 104.415 389.421
8 3582.51796 0.20000 1.000000 0.00 0.0000 103.913 0.000
9 108.21561 9.44880 1.433870 95.10 0.5373 99.206 390.726
10 290.02426 (variable) 1.000000 0.00 0.0000 98.276 0.000

11 197.14982 1.50000 1.882997 40.78 0.5668 40.698 -50.219
12 36.24305 6.77722 1.000000 0.00 0.0000 36.224 0.000
13 -99.80476 7.02902 1.808095 22.76 0.6307 36.054 54.038
14 -31.56279 1.50000 1.729157 54.68 0.5444 35.608 -39.405
15 343.45252 (variable) 1.000000 0.00 0.0000 33.980 0.000

16 -46.23776 3.72394 1.639799 34.46 0.5923 22.474 92.517
17 -26.85894 1.22784 1.729157 54.68 0.5444 22.996 -47.902
18 -116.81810 (variable) 1.000000 0.00 0.0000 23.775 0.000

19 -46.54544 1.30000 1.717004 47.92 0.5606 27.760 -37.391
20 64.71945 3.07714 1.846490 23.90 0.6217 29.750 86.594
21 503.70490 (variable) 1.000000 0.00 0.0000 30.253 0.000

22 Aperture 1.38000 1.000000 0.00 0.0000 39.337 0.000
23 1246.11576 7.40356 1.607379 56.81 0.5483 40.376 79.026
24 -50.02676 0.15000 1.000000 0.00 0.0000 41.451 0.000
25 253.67223 5.08566 1.518229 58.90 0.5456 41.944 145.500
26 -107.17397 0.35000 1.000000 0.00 0.0000 41.948 0.000
27 41.46536 10.10408 1.487490 70.23 0.5300 40.354 59.386
28 -89.24120 1.50000 1.834000 37.17 0.5774 39.027 -100.594
29 1578.39698 0.15000 1.000000 0.00 0.0000 37.901 0.000
30 35.86725 7.87102 1.487490 70.23 0.5300 35.360 63.199
31 -207.69417 1.50000 1.882997 40.76 0.5667 33.524 -28.900
32 29.38643 50.00000 1.000000 0.00 0.0000 30.232 0.000
33 -85.92161 4.02457 1.517417 52.43 0.5564 32.362 114.863
34 -35.78994 3.94074 1.000000 0.00 0.0000 32.626 0.000
35 49.62253 1.20000 1.785896 44.20 0.5631 29.627 -74.738
36 26.67634 7.52549 1.517417 52.43 0.5564 28.309 42.107
37 -110.11920 2.01000 1.000000 0.00 0.0000 27.515 0.000
38 65.03544 4.95279 1.517417 52.43 0.5564 24.960 58.514
39 -55.64153 1.20000 1.834807 42.72 0.5636 23.612 -25.832
40 35.88288 1.00867 1.000000 0.00 0.0000 22.105 0.000
41 31.22383 3.66415 1.487490 70.23 0.5300 21.994 63.835
42 960317.48701 3.80000 1.000000 0.00 0.0000 21.723 0.000
43 0.00000 34.37500 1.608590 46.44 0.5664 31.250 0.000
44 0.00000 13.75000 1.516800 64.17 0.5347 31.250 0.000
45 0.00000 1.000000 0.00 0.0000 31.250 0.000


Various data Zoom ratio 40.00
Wide angle Medium Telephoto focal length 11.00 51.80 440.00
F number 2.10 2.10 4.30
Half angle of view (degrees) 26.57 6.06 0.72
Image height 5.50 5.50 5.50
Total lens length 392.89 392.89 392.89
BF 10.00 10.00 10.00

d10 0.70 76.53 117.47
d15 44.46 19.38 5.14
d18 76.60 15.63 11.13
d21 13.70 23.92 1.73

Entrance pupil position 79.94 383.92 1867.48
Exit pupil position 1951.42 1951.42 1951.42
Front principal point position 91.00 437.10 2407.20
Rear principal point position -1.00 -41.80 -430.00

Zoom lens group data group Start surface Focal length Lens configuration length Front principal point position Rear principal point position
1 1 155.37 54.34 32.37 -7.09
2 11 -35.02 16.81 2.74 -9.34
3 16 -92.82 4.95 -1.04 -4.07
4 19 -66.06 4.38 0.17 -2.24
5 22 85.40 166.94 88.95 -190.90

（数値実施例２）
面番号 r d nd νd θgF 有効径 焦点距離
1 -171.14983 2.30000 1.720467 34.70 0.5834 80.090 -119.774
2 177.45749 2.28746 1.000000 0.00 0.0000 79.035 0.000
3 236.01533 2.30000 1.755199 27.51 0.6103 79.242 -375.984
4 128.83900 14.87124 1.438750 94.99 0.5342 78.989 151.773
5 -133.65887 0.40000 1.000000 0.00 0.0000 79.214 0.000
6 509.09651 6.21883 1.433870 95.10 0.5373 78.006 367.489
7 -232.13593 6.87237 1.000000 0.00 0.0000 77.785 0.000
8 103.80800 9.90600 1.592400 68.30 0.5456 73.793 142.512
9 -444.28300 0.15000 1.000000 0.00 0.0000 72.952 0.000
10 65.59448 6.33129 1.754998 52.32 0.5476 65.667 153.279
11 144.26241 (可変) 1.000000 0.00 0.0000 64.779 0.000

12 268.83153 1.00000 1.882997 40.76 0.5667 28.525 -18.668
13 15.58965 7.15231 1.000000 0.00 0.0000 22.559 0.000
14 -38.93639 6.07990 1.808095 22.76 0.6307 22.165 27.203
15 -15.13514 0.75000 1.882997 40.76 0.5667 22.125 -31.715
16 -33.47537 (可変) 1.000000 0.00 0.0000 22.368 0.000

17 -70.44232 4.81688 1.666800 33.05 0.5957 18.453 21.579
18 -12.34925 0.75000 1.882997 40.76 0.5667 18.154 -16.904
19 -71.58722 (可変) 1.000000 0.00 0.0000 18.633 0.000

20 -28.77581 0.75000 1.743198 49.34 0.5530 19.737 -22.926
21 42.74149 2.78000 1.846490 23.90 0.6217 21.471 49.256
22 -2742.50000 (可変) 1.000000 0.00 0.0000 22.007 0.000

23 開口絞り 1.51000 1.000000 0.00 0.0000 26.780 0.000
24 414.21688 4.60180 1.658441 50.88 0.5561 28.078 54.583
25 -39.38087 0.15000 1.000000 0.00 0.0000 28.736 0.000
26 53.26970 3.40011 1.531717 48.84 0.5630 29.505 111.348
27 497.87924 0.15000 1.000000 0.00 0.0000 29.351 0.000
28 82.13940 6.02904 1.487490 70.23 0.5300 29.199 55.427
29 -39.49401 1.00000 1.882997 40.76 0.5667 28.798 -46.691
30 -839.28643 36.60000 1.000000 0.00 0.0000 28.838 0.000
31 46.81686 6.02944 1.589130 61.14 0.5406 28.480 46.062
32 -62.03781 1.37651 1.000000 0.00 0.0000 27.947 0.000
33 -96.26089 1.00000 1.882997 40.76 0.5667 26.473 -24.270
34 27.91059 6.55668 1.496999 81.54 0.5375 25.374 45.686
35 -114.02609 0.15000 1.000000 0.00 0.0000 25.320 0.000
36 78.30964 6.08355 1.496999 81.54 0.5375 25.056 50.591
37 -36.23317 1.00000 1.834807 42.72 0.5636 24.911 -72.054
38 -91.50333 3.23521 1.000000 0.00 0.0000 25.148 0.000
39 32.62274 3.45197 1.487490 70.23 0.5300 24.845 93.684
40 109.29738 4.50000 1.000000 0.00 0.0000 24.349 0.000
41 0.00000 33.00000 1.608590 46.44 0.5664 40.000 0.000
42 0.00000 13.20000 1.516330 64.14 0.5352 40.000 0.000
43 0.00000 1.000000 0.00 0.0000 40.000 0.000


非球面データ
第12面
K = 7.78132e+001 A 4= 1.47015e-005 A 6= 5.45899e-008
A 8=-8.38347e-010 A10=-5.58595e-012 A12= 4.36865e-015
A 3=-5.22938e-006 A 5=-1.02484e-006 A 7= 2.40372e-009
A 9= 1.06816e-010 A11= 1.97141e-014

第19面
K = 8.71898e-001 A 4=-5.84031e-006 A 6= 2.64588e-008
A 8= 4.14574e-010 A10=-2.84801e-012 A12=-5.87235e-014
A 3= 1.35724e-006 A 5=-1.43896e-006 A 7= 1.21975e-008
A 9=-2.00667e-010 A11= 1.64421e-012

各種データ
ズーム比 21.00
広角 中間 望遠
焦点距離 8.00 29.55 168.00
Fナンバー 1.90 1.90 2.70
半画角（度） 34.51 10.54 1.88
像高 5.50 5.50 5.50
レンズ全長 278.66 278.66 278.66
BF 7.54 7.54 7.54

d11 1.04 35.48 53.91
d16 5.84 1.39 0.86
d19 49.14 14.35 5.95
d22 6.37 11.16 1.67

入射瞳位置 49.31 166.31 637.06
射出瞳位置 446.99 446.99 446.99
前側主点位置 57.45 197.85 869.29
後側主点位置 -0.46 -22.01 -160.46

ズームレンズ群データ
群 始面 焦点距離 レンズ構成長 前側主点位置 後側主点位置
1 1 69.86 51.64 33.00 1.70
2 12 -22.00 14.98 -1.69 -15.26
3 17 -68.17 5.57 0.66 -2.62
4 20 -43.35 3.53 -0.07 -2.00
5 23 58.04 133.02 64.55 -128.48 (Numerical example 2)
Surface number rd nd νd θgF Effective diameter Focal length
1 -171.14983 2.30000 1.720467 34.70 0.5834 80.090 -119.774
2 177.45749 2.28746 1.000000 0.00 0.0000 79.035 0.000
3 236.01533 2.30000 1.755199 27.51 0.6103 79.242 -375.984
4 128.83900 14.87124 1.438750 94.99 0.5342 78.989 151.773
5 -133.65887 0.40000 1.000000 0.00 0.0000 79.214 0.000
6 509.09651 6.21883 1.433870 95.10 0.5373 78.006 367.489
7 -232.13593 6.87237 1.000000 0.00 0.0000 77.785 0.000
8 103.80800 9.90600 1.592400 68.30 0.5456 73.793 142.512
9 -444.28300 0.15000 1.000000 0.00 0.0000 72.952 0.000
10 65.59448 6.33129 1.754998 52.32 0.5476 65.667 153.279
11 144.26241 (variable) 1.000000 0.00 0.0000 64.779 0.000

12 268.83153 1.00000 1.882997 40.76 0.5667 28.525 -18.668
13 15.58965 7.15231 1.000000 0.00 0.0000 22.559 0.000
14 -38.93639 6.07990 1.808095 22.76 0.6307 22.165 27.203
15 -15.13514 0.75000 1.882997 40.76 0.5667 22.125 -31.715
16 -33.47537 (variable) 1.000000 0.00 0.0000 22.368 0.000

17 -70.44232 4.81688 1.666800 33.05 0.5957 18.453 21.579
18 -12.34925 0.75000 1.882997 40.76 0.5667 18.154 -16.904
19 -71.58722 (variable) 1.000000 0.00 0.0000 18.633 0.000

20 -28.77581 0.75000 1.743198 49.34 0.5530 19.737 -22.926
21 42.74149 2.78000 1.846490 23.90 0.6217 21.471 49.256
22 -2742.50000 (variable) 1.000000 0.00 0.0000 22.007 0.000

23 Aperture stop 1.51000 1.000000 0.00 0.0000 26.780 0.000
24 414.21688 4.60180 1.658441 50.88 0.5561 28.078 54.583
25 -39.38087 0.15000 1.000000 0.00 0.0000 28.736 0.000
26 53.26970 3.40011 1.531717 48.84 0.5630 29.505 111.348
27 497.87924 0.15000 1.000000 0.00 0.0000 29.351 0.000
28 82.13940 6.02904 1.487490 70.23 0.5300 29.199 55.427
29 -39.49401 1.00000 1.882997 40.76 0.5667 28.798 -46.691
30 -839.28643 36.60000 1.000000 0.00 0.0000 28.838 0.000
31 46.81686 6.02944 1.589130 61.14 0.5406 28.480 46.062
32 -62.03781 1.37651 1.000000 0.00 0.0000 27.947 0.000
33 -96.26089 1.00000 1.882997 40.76 0.5667 26.473 -24.270
34 27.91059 6.55668 1.496999 81.54 0.5375 25.374 45.686
35 -114.02609 0.15000 1.000000 0.00 0.0000 25.320 0.000
36 78.30964 6.08355 1.496999 81.54 0.5375 25.056 50.591
37 -36.23317 1.00000 1.834807 42.72 0.5636 24.911 -72.054
38 -91.50333 3.23521 1.000000 0.00 0.0000 25.148 0.000
39 32.62274 3.45197 1.487490 70.23 0.5300 24.845 93.684
40 109.29738 4.50000 1.000000 0.00 0.0000 24.349 0.000
41 0.00000 33.00000 1.608590 46.44 0.5664 40.000 0.000
42 0.00000 13.20000 1.516330 64.14 0.5352 40.000 0.000
43 0.00000 1.000000 0.00 0.0000 40.000 0.000


Aspheric data 12th surface
K = 7.78132e + 001 A 4 = 1.47015e-005 A 6 = 5.45899e-008
A 8 = -8.38347e-010 A10 = -5.58595e-012 A12 = 4.36865e-015
A 3 = -5.22938e-006 A 5 = -1.02484e-006 A 7 = 2.40372e-009
A 9 = 1.06816e-010 A11 = 1.97141e-014

19th page
K = 8.71898e-001 A 4 = -5.84031e-006 A 6 = 2.64588e-008
A 8 = 4.14574e-010 A10 = -2.84801e-012 A12 = -5.87235e-014
A 3 = 1.35724e-006 A 5 = -1.43896e-006 A 7 = 1.21975e-008
A 9 = -2.00667e-010 A11 = 1.64421e-012

Various data Zoom ratio 21.00
Wide angle Medium Telephoto focal length 8.00 29.55 168.00
F number 1.90 1.90 2.70
Half angle of view (degrees) 34.51 10.54 1.88
Image height 5.50 5.50 5.50
Total lens length 278.66 278.66 278.66
BF 7.54 7.54 7.54

d11 1.04 35.48 53.91
d16 5.84 1.39 0.86
d19 49.14 14.35 5.95
d22 6.37 11.16 1.67

Entrance pupil position 49.31 166.31 637.06
Exit pupil position 446.99 446.99 446.99
Front principal point position 57.45 197.85 869.29
Rear principal point position -0.46 -22.01 -160.46

Zoom lens group data group Start surface Focal length Lens configuration length Front principal point position Rear principal point position
1 1 69.86 51.64 33.00 1.70
2 12 -22.00 14.98 -1.69 -15.26
3 17 -68.17 5.57 0.66 -2.62
4 20 -43.35 3.53 -0.07 -2.00
5 23 58.04 133.02 64.55 -128.48

（数値実施例３）
面番号 r d nd νd θgF 有効径 焦点距離
1 5102.38823 3.00000 1.834807 42.72 0.5636 110.000 -231.669
2 187.28481 1.07300 1.000000 0.00 0.0000 109.893 0.000
3 187.76389 14.72957 1.433870 95.10 0.5373 110.507 280.408
4 -339.77442 11.15000 1.000000 0.00 0.0000 110.810 0.000
5 213.38103 8.92462 1.433870 95.10 0.5373 112.898 527.625
6 3000.33601 0.20000 1.000000 0.00 0.0000 112.706 0.000
7 155.43069 11.30622 1.433870 95.10 0.5373 111.382 376.542
8 2981.50890 0.20000 1.000000 0.00 0.0000 110.901 0.000
9 127.62681 8.64580 1.433870 95.10 0.5373 105.887 460.035
10 345.15430 (可変) 1.000000 0.00 0.0000 105.200 0.000

11 64.62978 1.00000 1.882997 40.76 0.5667 33.011 -44.466
12 24.33474 9.16148 1.000000 0.00 0.0000 29.206 0.000
13 -38.02900 0.90000 1.816000 46.62 0.5568 28.170 -33.705
14 102.30122 0.70000 1.000000 0.00 0.0000 28.353 0.000
15 63.20647 5.95348 1.808095 22.76 0.6307 28.777 34.945
16 -49.80207 (可変) 1.000000 0.00 0.0000 28.678 0.000

17 -43.58345 1.10000 1.816000 46.62 0.5568 26.911 -57.575
18 -572.20009 (可変) 1.000000 0.00 0.0000 26.847 0.000

19 -46.96000 1.30000 1.717004 47.92 0.5606 28.966 -36.468
20 60.35394 3.26438 1.846490 23.90 0.6217 31.055 80.947
21 460.58874 (可変) 1.000000 0.00 0.0000 31.507 0.000

22 開口絞り 4.05000 1.000000 0.00 0.0000 37.855 0.000
23 226.67058 6.75742 1.607379 56.81 0.5483 41.067 70.385
24 -52.36155 0.15000 1.000000 0.00 0.0000 41.545 0.000
25 3180.72058 3.29188 1.518229 58.90 0.5456 41.483 231.404
26 -125.09849 0.35000 1.000000 0.00 0.0000 41.463 0.000
27 39.06865 9.43204 1.487490 70.23 0.5300 39.964 58.436
28 -98.06367 1.50000 1.834000 37.17 0.5774 38.962 -121.818
29 -2415.03003 0.15000 1.000000 0.00 0.0000 37.883 0.000
30 36.73108 8.30910 1.487490 70.23 0.5300 34.990 53.864
31 -86.27365 1.50000 1.882997 40.76 0.5667 33.261 -25.097
32 30.30129 50.00000 1.000000 0.00 0.0000 29.841 0.000
33 -120.62916 4.64093 1.517417 52.43 0.5564 32.292 94.501
34 -35.36457 2.54355 1.000000 0.00 0.0000 32.518 0.000
35 63.07563 1.20000 1.785896 44.20 0.5631 29.519 -82.516
36 31.79036 6.49533 1.517417 52.43 0.5564 28.362 48.173
37 -109.65039 2.01000 1.000000 0.00 0.0000 27.637 0.000
38 76.16107 5.44373 1.517417 52.43 0.5564 25.095 48.054
39 -36.25647 1.20000 1.834807 42.72 0.5636 23.809 -24.462
40 48.07162 0.66799 1.000000 0.00 0.0000 22.801 0.000
41 33.72522 4.04093 1.487490 70.23 0.5300 22.915 69.490
42 4144.43983 3.80000 1.000000 0.00 0.0000 22.552 0.000
43 0.00000 34.37500 1.608590 46.44 0.5664 31.250 0.000
44 0.00000 13.75000 1.516800 64.17 0.5347 31.250 0.000
45 0.00000 1.000000 0.00 0.0000 31.250 0.000


各種データ
ズーム比 41.00
広角 中間 望遠
焦点距離 11.00 47.89 451.00
Fナンバー 2.10 2.10 4.10
半画角（度） 26.57 6.55 0.70
像高 5.50 5.50 5.50
レンズ全長 399.24 399.24 399.24
BF 10.21 10.21 10.21

d10 0.71 80.61 123.61
d16 2.83 2.42 2.20
d18 127.10 36.96 13.65
d21 10.12 20.77 1.30

入射瞳位置 78.04 391.22 2079.32
射出瞳位置 1135.49 1135.49 1135.49
前側主点位置 89.15 441.15 2711.07
後側主点位置 -0.79 -37.68 -440.79

ズームレンズ群データ
群 始面 焦点距離 レンズ構成長 前側主点位置 後側主点位置
1 1 161.84 59.23 34.36 -8.84
2 11 -53.00 17.71 -4.28 -21.22
3 17 -57.58 1.10 -0.05 -0.65
4 19 -66.60 4.56 0.20 -2.31
5 22 85.33 165.66 91.22 -185.82 (Numerical Example 3)
Surface number rd nd νd θgF Effective diameter Focal length
1 5102.38823 3.00000 1.834807 42.72 0.5636 110.000 -231.669
2 187.28481 1.07300 1.000000 0.00 0.0000 109.893 0.000
3 187.76389 14.72957 1.433870 95.10 0.5373 110.507 280.408
4 -339.77442 11.15000 1.000000 0.00 0.0000 110.810 0.000
5 213.38103 8.92462 1.433870 95.10 0.5373 112.898 527.625
6 3000.33601 0.20000 1.000000 0.00 0.0000 112.706 0.000
7 155.43069 11.30622 1.433870 95.10 0.5373 111.382 376.542
8 2981.50890 0.20000 1.000000 0.00 0.0000 110.901 0.000
9 127.62681 8.64580 1.433870 95.10 0.5373 105.887 460.035
10 345.15430 (variable) 1.000000 0.00 0.0000 105.200 0.000

11 64.62978 1.00000 1.882997 40.76 0.5667 33.011 -44.466
12 24.33474 9.16148 1.000000 0.00 0.0000 29.206 0.000
13 -38.02900 0.90000 1.816000 46.62 0.5568 28.170 -33.705
14 102.30122 0.70000 1.000000 0.00 0.0000 28.353 0.000
15 63.20647 5.95348 1.808095 22.76 0.6307 28.777 34.945
16 -49.80207 (variable) 1.000000 0.00 0.0000 28.678 0.000

17 -43.58345 1.10000 1.816000 46.62 0.5568 26.911 -57.575
18 -572.20009 (variable) 1.000000 0.00 0.0000 26.847 0.000

19 -46.96000 1.30000 1.717004 47.92 0.5606 28.966 -36.468
20 60.35394 3.26438 1.846490 23.90 0.6217 31.055 80.947
21 460.58874 (variable) 1.000000 0.00 0.0000 31.507 0.000

22 Aperture stop 4.05000 1.000000 0.00 0.0000 37.855 0.000
23 226.67058 6.75742 1.607379 56.81 0.5483 41.067 70.385
24 -52.36155 0.15000 1.000000 0.00 0.0000 41.545 0.000
25 3180.72058 3.29188 1.518229 58.90 0.5456 41.483 231.404
26 -125.09849 0.35000 1.000000 0.00 0.0000 41.463 0.000
27 39.06865 9.43204 1.487490 70.23 0.5300 39.964 58.436
28 -98.06367 1.50000 1.834000 37.17 0.5774 38.962 -121.818
29 -2415.03003 0.15000 1.000000 0.00 0.0000 37.883 0.000
30 36.73108 8.30910 1.487490 70.23 0.5300 34.990 53.864
31 -86.27365 1.50000 1.882997 40.76 0.5667 33.261 -25.097
32 30.30129 50.00000 1.000000 0.00 0.0000 29.841 0.000
33 -120.62916 4.64093 1.517417 52.43 0.5564 32.292 94.501
34 -35.36457 2.54355 1.000000 0.00 0.0000 32.518 0.000
35 63.07563 1.20000 1.785896 44.20 0.5631 29.519 -82.516
36 31.79036 6.49533 1.517417 52.43 0.5564 28.362 48.173
37 -109.65039 2.01000 1.000000 0.00 0.0000 27.637 0.000
38 76.16107 5.44373 1.517417 52.43 0.5564 25.095 48.054
39 -36.25647 1.20000 1.834807 42.72 0.5636 23.809 -24.462
40 48.07162 0.66799 1.000000 0.00 0.0000 22.801 0.000
41 33.72522 4.04093 1.487490 70.23 0.5300 22.915 69.490
42 4144.43983 3.80000 1.000000 0.00 0.0000 22.552 0.000
43 0.00000 34.37500 1.608590 46.44 0.5664 31.250 0.000
44 0.00000 13.75000 1.516800 64.17 0.5347 31.250 0.000
45 0.00000 1.000000 0.00 0.0000 31.250 0.000


Various data Zoom ratio 41.00
Wide angle Medium Telephoto focal length 11.00 47.89 451.00
F number 2.10 2.10 4.10
Half angle of view (degrees) 26.57 6.55 0.70
Image height 5.50 5.50 5.50
Total lens length 399.24 399.24 399.24
BF 10.21 10.21 10.21

d10 0.71 80.61 123.61
d16 2.83 2.42 2.20
d18 127.10 36.96 13.65
d21 10.12 20.77 1.30

Entrance pupil position 78.04 391.22 2079.32
Exit pupil position 1135.49 1135.49 1135.49
Front principal point position 89.15 441.15 2711.07
Rear principal point position -0.79 -37.68 -440.79

Zoom lens group data group Start surface Focal length Lens configuration length Front principal point position Rear principal point position
1 1 161.84 59.23 34.36 -8.84
2 11 -53.00 17.71 -4.28 -21.22
3 17 -57.58 1.10 -0.05 -0.65
4 19 -66.60 4.56 0.20 -2.31
5 22 85.33 165.66 91.22 -185.82

（数値実施例４）
面番号 r d nd νd θgF 有効径 焦点距離
1 879.78860 3.00000 1.834000 37.16 0.5775 103.530 -331.211
2 210.91583 1.07300 1.000000 0.00 0.0000 100.939 0.000
3 204.89062 13.40186 1.433870 95.10 0.5373 100.675 264.443
4 -257.03877 11.15000 1.000000 0.00 0.0000 100.006 0.000
5 348.68783 3.46641 1.433870 95.10 0.5373 94.100 1195.536
6 1055.17335 0.20000 1.000000 0.00 0.0000 93.921 0.000
7 136.60199 7.88454 1.433870 95.10 0.5373 92.790 382.491
8 750.13053 0.20000 1.000000 0.00 0.0000 92.406 0.000
9 94.02689 5.92474 1.433870 95.10 0.5373 88.362 518.391
10 158.20304 (可変) 1.000000 0.00 0.0000 87.703 0.000

11 66.74049 1.00000 1.882997 40.76 0.5667 37.859 -48.606
12 26.02891 11.81466 1.000000 0.00 0.0000 33.129 0.000
13 -33.69197 0.90000 1.754998 52.32 0.5476 31.757 -31.957
14 87.36237 0.70000 1.000000 0.00 0.0000 32.444 0.000
15 64.57951 5.11927 1.808095 22.76 0.6307 33.115 50.406
16 -109.40349 (可変) 1.000000 0.00 0.0000 33.149 0.000

17 -66.11091 1.10000 1.754998 52.32 0.5476 22.514 -138.389
18 -179.89846 (可変) 1.000000 0.00 0.0000 22.857 0.000

19 -48.94834 1.30000 1.717004 47.92 0.5606 26.191 -35.312
20 53.57949 3.10303 1.846490 23.90 0.6217 27.954 75.262
21 311.92162 (可変) 1.000000 0.00 0.0000 28.405 0.000

22 開口絞り 2.32000 1.000000 0.00 0.0000 37.555 0.000
23 -687.46539 5.75388 1.607379 56.81 0.5483 38.861 80.697
24 -46.07638 0.15000 1.000000 0.00 0.0000 39.507 0.000
25 446.76793 3.57385 1.518229 58.90 0.5456 39.989 187.196
26 -124.21784 0.35000 1.000000 0.00 0.0000 40.037 0.000
27 38.74021 9.05122 1.487490 70.23 0.5300 39.148 61.353
28 -122.96118 1.50000 1.834000 37.17 0.5774 38.133 -280.305
29 -259.02329 0.15000 1.000000 0.00 0.0000 37.449 0.000
30 33.05486 8.27880 1.487490 70.23 0.5300 33.619 49.959
31 -86.02558 1.50000 1.882997 40.76 0.5667 31.731 -22.488
32 26.22574 50.00000 1.000000 0.00 0.0000 27.889 0.000
33 -89.97175 3.76418 1.517417 52.43 0.5564 29.233 97.312
34 -32.84097 7.47540 1.000000 0.00 0.0000 29.428 0.000
35 63.84553 1.20000 1.882997 40.76 0.5667 25.320 -44.837
36 24.30827 5.45573 1.496999 81.54 0.5375 24.161 45.455
37 -308.71994 2.01000 1.000000 0.00 0.0000 24.079 0.000
38 83.83571 2.54773 1.496999 81.54 0.5375 23.796 262.225
39 231.42358 1.20000 1.882997 40.76 0.5667 23.484 -139.108
40 80.35072 3.11650 1.000000 0.00 0.0000 23.231 0.000
41 94.33579 2.88588 1.548141 45.79 0.5685 23.186 88.664
42 -100.22121 3.80000 1.000000 0.00 0.0000 23.039 0.000
43 0.00000 34.37500 1.608590 46.44 0.5664 31.250 0.000
44 0.00000 13.75000 1.516800 64.17 0.5347 31.250 0.000
45 0.00000 1.000000 0.00 0.0000 31.250 0.000


各種データ
ズーム比 20.00
広角 中間 望遠
焦点距離 11.00 50.29 220.00
Fナンバー 2.10 2.10 2.31
半画角（度） 26.57 6.24 1.43
像高 5.50 5.50 5.50
レンズ全長 379.80 379.80 379.80
BF 7.80 7.80 7.80

d10 2.28 78.76 113.08
d16 60.23 8.76 2.04
d18 59.38 27.21 3.78
d21 14.56 21.73 17.55

入射瞳位置 79.50 397.83 1263.01
射出瞳位置 246.53 246.53 246.53
前側主点位置 91.01 458.71 1685.76
後側主点位置 -3.20 -42.48 -212.20

ズームレンズ群データ
群 始面 焦点距離 レンズ構成長 前側主点位置 後側主点位置
1 1 161.84 46.30 24.29 -10.98
2 11 -31.00 19.53 3.22 -13.12
3 17 -138.39 1.10 -0.36 -0.99
4 19 -66.60 4.40 0.32 -2.10
5 22 132.78 164.21 175.76 -296.48 (Numerical example 4)
Surface number rd nd νd θgF Effective diameter Focal length
1 879.78860 3.00000 1.834000 37.16 0.5775 103.530 -331.211
2 210.91583 1.07300 1.000000 0.00 0.0000 100.939 0.000
3 204.89062 13.40186 1.433870 95.10 0.5373 100.675 264.443
4 -257.03877 11.15000 1.000000 0.00 0.0000 100.006 0.000
5 348.68783 3.46641 1.433870 95.10 0.5373 94.100 1195.536
6 1055.17335 0.20000 1.000000 0.00 0.0000 93.921 0.000
7 136.60199 7.88454 1.433870 95.10 0.5373 92.790 382.491
8 750.13053 0.20000 1.000000 0.00 0.0000 92.406 0.000
9 94.02689 5.92474 1.433870 95.10 0.5373 88.362 518.391
10 158.20304 (variable) 1.000000 0.00 0.0000 87.703 0.000

11 66.74049 1.00000 1.882997 40.76 0.5667 37.859 -48.606
12 26.02891 11.81466 1.000000 0.00 0.0000 33.129 0.000
13 -33.69197 0.90000 1.754998 52.32 0.5476 31.757 -31.957
14 87.36237 0.70000 1.000000 0.00 0.0000 32.444 0.000
15 64.57951 5.11927 1.808095 22.76 0.6307 33.115 50.406
16 -109.40349 (variable) 1.000000 0.00 0.0000 33.149 0.000

17 -66.11091 1.10000 1.754998 52.32 0.5476 22.514 -138.389
18 -179.89846 (variable) 1.000000 0.00 0.0000 22.857 0.000

19 -48.94834 1.30000 1.717004 47.92 0.5606 26.191 -35.312
20 53.57949 3.10303 1.846490 23.90 0.6217 27.954 75.262
21 311.92162 (variable) 1.000000 0.00 0.0000 28.405 0.000

22 Aperture 2.32000 1.000000 0.00 0.0000 37.555 0.000
23 -687.46539 5.75388 1.607379 56.81 0.5483 38.861 80.697
24 -46.07638 0.15000 1.000000 0.00 0.0000 39.507 0.000
25 446.76793 3.57385 1.518229 58.90 0.5456 39.989 187.196
26 -124.21784 0.35000 1.000000 0.00 0.0000 40.037 0.000
27 38.74021 9.05122 1.487490 70.23 0.5300 39.148 61.353
28 -122.96118 1.50000 1.834000 37.17 0.5774 38.133 -280.305
29 -259.02329 0.15000 1.000000 0.00 0.0000 37.449 0.000
30 33.05486 8.27880 1.487490 70.23 0.5300 33.619 49.959
31 -86.02558 1.50000 1.882997 40.76 0.5667 31.731 -22.488
32 26.22574 50.00000 1.000000 0.00 0.0000 27.889 0.000
33 -89.97175 3.76418 1.517417 52.43 0.5564 29.233 97.312
34 -32.84097 7.47540 1.000000 0.00 0.0000 29.428 0.000
35 63.84553 1.20000 1.882997 40.76 0.5667 25.320 -44.837
36 24.30827 5.45573 1.496999 81.54 0.5375 24.161 45.455
37 -308.71994 2.01000 1.000000 0.00 0.0000 24.079 0.000
38 83.83571 2.54773 1.496999 81.54 0.5375 23.796 262.225
39 231.42358 1.20000 1.882997 40.76 0.5667 23.484 -139.108
40 80.35072 3.11650 1.000000 0.00 0.0000 23.231 0.000
41 94.33579 2.88588 1.548141 45.79 0.5685 23.186 88.664
42 -100.22121 3.80000 1.000000 0.00 0.0000 23.039 0.000
43 0.00000 34.37500 1.608590 46.44 0.5664 31.250 0.000
44 0.00000 13.75000 1.516800 64.17 0.5347 31.250 0.000
45 0.00000 1.000000 0.00 0.0000 31.250 0.000


Various data Zoom ratio 20.00
Wide angle Medium Telephoto focal length 11.00 50.29 220.00
F number 2.10 2.10 2.31
Half angle of view (degrees) 26.57 6.24 1.43
Image height 5.50 5.50 5.50
Total lens length 379.80 379.80 379.80
BF 7.80 7.80 7.80

d10 2.28 78.76 113.08
d16 60.23 8.76 2.04
d18 59.38 27.21 3.78
d21 14.56 21.73 17.55

Entrance pupil position 79.50 397.83 1263.01
Exit pupil position 246.53 246.53 246.53
Front principal point position 91.01 458.71 1685.76
Rear principal point position -3.20 -42.48 -212.20

Zoom lens group data group Start surface Focal length Lens configuration length Front principal point position Rear principal point position
1 1 161.84 46.30 24.29 -10.98
2 11 -31.00 19.53 3.22 -13.12
3 17 -138.39 1.10 -0.36 -0.99
4 19 -66.60 4.40 0.32 -2.10
5 22 132.78 164.21 175.76 -296.48

（数値実施例５）
面番号 r d nd νd θgF 有効径 焦点距離
1 167.82920 2.60000 1.772499 49.60 0.5521 84.856 -54.064
2 33.34366 16.68772 1.000000 0.00 0.0000 60.721 0.000
3 129.27294 1.85000 1.772499 49.60 0.5521 60.272 -126.308
4 55.40704 13.20856 1.000000 0.00 0.0000 56.790 0.000
5 -121.26919 1.75000 1.772499 49.60 0.5521 56.624 -85.050
6 145.80838 0.15000 1.000000 0.00 0.0000 57.929 0.000
7 87.85305 8.69701 1.846660 23.78 0.6205 59.522 90.560
8 -622.99406 1.07862 1.000000 0.00 0.0000 59.476 0.000
9 1050.48055 7.90308 1.651597 58.55 0.5426 59.228 106.094
10 -74.10212 7.82883 1.000000 0.00 0.0000 59.061 0.000
11 -3394.45989 7.58594 1.455999 90.33 0.5340 53.433 138.880
12 -62.37446 1.80000 1.755199 27.51 0.6103 53.351 -131.832
13 -166.70918 0.15000 1.000000 0.00 0.0000 54.037 0.000
14 -559.13320 1.80000 1.720467 34.70 0.5834 53.980 -62.187
15 49.13453 12.52332 1.496999 81.54 0.5375 54.562 80.854
16 -205.18220 0.20000 1.000000 0.00 0.0000 55.340 0.000
17 258.42395 8.74986 1.618000 63.33 0.5441 56.627 101.970
18 -82.66967 0.30000 1.000000 0.00 0.0000 56.905 0.000
19 68.91121 9.88928 1.618000 63.33 0.5441 54.179 82.718
20 -189.87964 (可変) 1.000000 0.00 0.0000 53.002 0.000

21 47.04414 0.93673 1.882997 40.78 0.5668 23.901 -23.999
22 14.53115 7.05633 1.000000 0.00 0.0000 20.147 0.000
23 -25.26984 0.93673 1.834890 42.60 0.5635 19.648 -37.120
24 -135.87048 1.70823 1.000000 0.00 0.0000 19.996 0.000
25 -955.17709 5.87302 1.761821 26.52 0.6135 20.252 22.497
26 -17.02862 0.93673 1.834890 42.60 0.5635 20.454 -51.338
27 -28.85732 (可変) 1.000000 0.00 0.0000 20.777 0.000

28 279.15051 4.02560 1.575006 41.50 0.5766 18.536 30.624
29 -18.80938 0.93673 1.799620 42.10 0.5661 18.266 -22.718
30 648.68229 (可変) 1.000000 0.00 0.0000 18.644 0.000

31 -30.70263 0.75000 1.756998 47.82 0.5566 19.353 -20.997
32 33.64820 2.82303 1.808095 22.76 0.6307 20.871 40.765
33 -2945.01546 (可変) 1.000000 0.00 0.0000 21.269 0.000

34 開口絞り 1.37000 1.000000 0.00 0.0000 24.300 0.000
35 402.06399 3.47000 1.717004 47.92 0.5606 25.320 68.811
36 -56.35273 0.20000 1.000000 0.00 0.0000 25.912 0.000
37 133.18464 2.77000 1.648498 53.02 0.5548 26.481 140.491
38 -290.12517 0.20000 1.000000 0.00 0.0000 26.599 0.000
39 50.87391 7.01000 1.516330 64.14 0.5352 26.707 40.713
40 -34.35575 1.30000 1.834807 42.72 0.5636 26.307 -44.420
41 -444.37437 32.40000 1.000000 0.00 0.0000 26.382 0.000
42 283.18758 4.55762 1.516330 64.14 0.5352 25.976 67.977
43 -40.01320 0.19029 1.000000 0.00 0.0000 25.893 0.000
44 -185.69171 1.20000 1.882997 40.76 0.5667 25.047 -22.461
45 22.41764 8.15928 1.522494 59.84 0.5439 24.415 33.587
46 -72.00469 0.19922 1.000000 0.00 0.0000 25.370 0.000
47 36.78062 7.10311 1.518229 58.90 0.5456 26.264 35.503
48 -34.65986 1.20000 1.882997 40.76 0.5667 26.032 -31.880
49 157.17687 0.19805 1.000000 0.00 0.0000 26.337 0.000
50 39.04729 6.14142 1.487490 70.23 0.5300 26.925 45.842
51 -49.94778 4.00000 1.000000 0.00 0.0000 26.821 0.000
52 0.00000 33.00000 1.608590 46.44 0.5664 40.000 0.000
53 0.00000 13.20000 1.516330 64.15 0.5352 40.000 0.000
54 0.00000 1.000000 0.00 0.0000 40.000 0.000


非球面データ
第2面
K = 8.74170e+000 A 4= 1.68104e-006 A 6=-3.05094e-011
A 8= 3.91384e-012 A10= 7.05181e-015 A12= 6.09811e-019
A 3=-1.74000e-006 A 5=-3.78471e-008 A 7=-1.26804e-011
A 9=-2.40407e-013 A11=-1.03733e-016

第11面
K =-2.13660e+000 A 4= 1.85266e-007 A 6= 3.54426e-010
A 8= 4.11993e-013 A10= 9.77843e-016 A12=-7.92723e-019
A 3=-2.68363e-007 A 5=-6.43186e-009 A 7=-1.05604e-011
A 9=-5.03800e-014 A11= 3.09873e-017

第31面
K =-1.38539e+002 A 4=-1.16793e-005 A 6= 1.52624e-007
A 8= 2.62891e-010 A10=-7.24269e-012 A12= 2.18062e-015
A 3= 8.22268e-006 A 5=-5.41608e-007 A 7=-9.87706e-009
A 9=-9.29218e-012 A11= 5.78555e-013

各種データ
ズーム比 10.00
広角 中間 望遠
焦点距離 4.70 20.56 47.00
Fナンバー 1.90 1.90 2.24
半画角（度） 49.48 14.97 6.67
像高 5.50 5.50 5.50
レンズ全長 316.68 316.68 316.68
BF 8.17 8.17 8.17

d21 0.48 33.28 41.66
d28 3.17 0.77 0.16
d31 38.78 7.22 7.17
d34 7.47 8.63 0.92

入射瞳位置 35.10 61.93 92.52
射出瞳位置 248.44 248.44 248.44
前側主点位置 39.89 84.25 148.72
後側主点位置 3.47 -12.39 -38.83

ズームレンズ群データ
群 始面 焦点距離 レンズ構成長 前側主点位置 後側主点位置
1 1 27.39 104.75 46.72 36.44
2 22 -30.00 17.45 -4.21 -22.72
3 29 -90.00 4.96 3.10 0.01
4 32 -43.83 3.57 -0.05 -2.04
5 35 57.91 127.87 68.77 -118.31 (Numerical example 5)
Surface number rd nd νd θgF Effective diameter Focal length
1 167.82920 2.60000 1.772499 49.60 0.5521 84.856 -54.064
2 33.34366 16.68772 1.000000 0.00 0.0000 60.721 0.000
3 129.27294 1.85000 1.772499 49.60 0.5521 60.272 -126.308
4 55.40704 13.20856 1.000000 0.00 0.0000 56.790 0.000
5 -121.26919 1.75000 1.772499 49.60 0.5521 56.624 -85.050
6 145.80838 0.15000 1.000000 0.00 0.0000 57.929 0.000
7 87.85305 8.69701 1.846660 23.78 0.6205 59.522 90.560
8 -622.99406 1.07862 1.000000 0.00 0.0000 59.476 0.000
9 1050.48055 7.90308 1.651597 58.55 0.5426 59.228 106.094
10 -74.10212 7.82883 1.000000 0.00 0.0000 59.061 0.000
11 -3394.45989 7.58594 1.455999 90.33 0.5340 53.433 138.880
12 -62.37446 1.80000 1.755199 27.51 0.6103 53.351 -131.832
13 -166.70918 0.15000 1.000000 0.00 0.0000 54.037 0.000
14 -559.13320 1.80000 1.720467 34.70 0.5834 53.980 -62.187
15 49.13453 12.52332 1.496999 81.54 0.5375 54.562 80.854
16 -205.18220 0.20000 1.000000 0.00 0.0000 55.340 0.000
17 258.42395 8.74986 1.618000 63.33 0.5441 56.627 101.970
18 -82.66967 0.30000 1.000000 0.00 0.0000 56.905 0.000
19 68.91121 9.88928 1.618000 63.33 0.5441 54.179 82.718
20 -189.87964 (variable) 1.000000 0.00 0.0000 53.002 0.000

21 47.04414 0.93673 1.882997 40.78 0.5668 23.901 -23.999
22 14.53115 7.05633 1.000000 0.00 0.0000 20.147 0.000
23 -25.26984 0.93673 1.834890 42.60 0.5635 19.648 -37.120
24 -135.87048 1.70823 1.000000 0.00 0.0000 19.996 0.000
25 -955.17709 5.87302 1.761821 26.52 0.6135 20.252 22.497
26 -17.02862 0.93673 1.834890 42.60 0.5635 20.454 -51.338
27 -28.85732 (variable) 1.000000 0.00 0.0000 20.777 0.000

28 279.15051 4.02560 1.575006 41.50 0.5766 18.536 30.624
29 -18.80938 0.93673 1.799620 42.10 0.5661 18.266 -22.718
30 648.68229 (variable) 1.000000 0.00 0.0000 18.644 0.000

31 -30.70263 0.75000 1.756998 47.82 0.5566 19.353 -20.997
32 33.64820 2.82303 1.808095 22.76 0.6307 20.871 40.765
33 -2945.01546 (variable) 1.000000 0.00 0.0000 21.269 0.000

34 Aperture stop 1.37000 1.000000 0.00 0.0000 24.300 0.000
35 402.06399 3.47000 1.717004 47.92 0.5606 25.320 68.811
36 -56.35273 0.20000 1.000000 0.00 0.0000 25.912 0.000
37 133.18464 2.77000 1.648498 53.02 0.5548 26.481 140.491
38 -290.12517 0.20000 1.000000 0.00 0.0000 26.599 0.000
39 50.87391 7.01000 1.516330 64.14 0.5352 26.707 40.713
40 -34.35575 1.30000 1.834807 42.72 0.5636 26.307 -44.420
41 -444.37437 32.40000 1.000000 0.00 0.0000 26.382 0.000
42 283.18758 4.55762 1.516330 64.14 0.5352 25.976 67.977
43 -40.01320 0.19029 1.000000 0.00 0.0000 25.893 0.000
44 -185.69171 1.20000 1.882997 40.76 0.5667 25.047 -22.461
45 22.41764 8.15928 1.522494 59.84 0.5439 24.415 33.587
46 -72.00469 0.19922 1.000000 0.00 0.0000 25.370 0.000
47 36.78062 7.10311 1.518229 58.90 0.5456 26.264 35.503
48 -34.65986 1.20000 1.882997 40.76 0.5667 26.032 -31.880
49 157.17687 0.19805 1.000000 0.00 0.0000 26.337 0.000
50 39.04729 6.14142 1.487490 70.23 0.5300 26.925 45.842
51 -49.94778 4.00000 1.000000 0.00 0.0000 26.821 0.000
52 0.00000 33.00000 1.608590 46.44 0.5664 40.000 0.000
53 0.00000 13.20000 1.516330 64.15 0.5352 40.000 0.000
54 0.00000 1.000000 0.00 0.0000 40.000 0.000


Aspheric data 2nd surface
K = 8.74170e + 000 A 4 = 1.68104e-006 A 6 = -3.05094e-011
A 8 = 3.91384e-012 A10 = 7.05181e-015 A12 = 6.09811e-019
A 3 = -1.74000e-006 A 5 = -3.78471e-008 A 7 = -1.26804e-011
A 9 = -2.40407e-013 A11 = -1.03733e-016

11th page
K = -2.13660e + 000 A 4 = 1.85266e-007 A 6 = 3.54426e-010
A 8 = 4.11993e-013 A10 = 9.77843e-016 A12 = -7.92723e-019
A 3 = -2.68363e-007 A 5 = -6.43186e-009 A 7 = -1.05604e-011
A 9 = -5.03800e-014 A11 = 3.09873e-017

No. 31
K = -1.38539e + 002 A 4 = -1.16793e-005 A 6 = 1.52624e-007
A 8 = 2.62891e-010 A10 = -7.24269e-012 A12 = 2.18062e-015
A 3 = 8.22268e-006 A 5 = -5.41608e-007 A 7 = -9.87706e-009
A 9 = -9.29218e-012 A11 = 5.78555e-013

Various data Zoom ratio 10.00
Wide angle Medium Telephoto focal length 4.70 20.56 47.00
F number 1.90 1.90 2.24
Half angle of view (degrees) 49.48 14.97 6.67
Image height 5.50 5.50 5.50
Total lens length 316.68 316.68 316.68
BF 8.17 8.17 8.17

d21 0.48 33.28 41.66
d28 3.17 0.77 0.16
d31 38.78 7.22 7.17
d34 7.47 8.63 0.92

Entrance pupil position 35.10 61.93 92.52
Exit pupil position 248.44 248.44 248.44
Front principal point position 39.89 84.25 148.72
Rear principal point position 3.47 -12.39 -38.83

Zoom lens group data group Start surface Focal length Lens configuration length Front principal point position Rear principal point position
1 1 27.39 104.75 46.72 36.44
2 22 -30.00 17.45 -4.21 -22.72
3 29 -90.00 4.96 3.10 0.01
4 32 -43.83 3.57 -0.05 -2.04
5 35 57.91 127.87 68.77 -118.31

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JP5738069B2 (en) * 2011-05-24 2015-06-17 キヤノン株式会社 Zoom lens and imaging apparatus having the same
JP2013003384A (en) * 2011-06-17 2013-01-07 Konica Minolta Advanced Layers Inc Large-diameter variable power optical system and image pickup apparatus
WO2013031205A1 (en) * 2011-08-30 2013-03-07 富士フイルム株式会社 Variable magnification optical system and image-capturing device
CN103765288B (en) * 2011-08-30 2016-09-28 富士胶片株式会社 Variable magnification optical system and imaging device
JP6025471B2 (en) * 2012-09-14 2016-11-16 キヤノン株式会社 Zoom lens and projector using the same
JP6204852B2 (en) 2014-02-26 2017-09-27 富士フイルム株式会社 Zoom lens and imaging device
JP6544957B2 (en) * 2015-03-18 2019-07-17 キヤノン株式会社 Zoom lens and imaging device having the same
JP6723868B2 (en) * 2016-08-09 2020-07-15 キヤノン株式会社 Zoom lens and imaging device having the same
JP2018084668A (en) 2016-11-24 2018-05-31 キヤノン株式会社 Zoom lens and image capturing device having the same
JP6552530B2 (en) * 2017-01-19 2019-07-31 キヤノン株式会社 Zoom lens and imaging apparatus having the same
JP7256654B2 (en) * 2019-02-22 2023-04-12 キヤノン株式会社 Zoom lens and imaging device
JP6818807B2 (en) * 2019-05-16 2021-01-20 キヤノン株式会社 Zoom lens and imaging device

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