大孔径长焦距全画幅变焦镜头结构计算与优化设计 
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Structural Calculation and Optimal Design of Large-Aperture Long-Focal-Length Full-Frame Zoom Lens
1 中国科学院长春光学精密机械与物理研究所精密仪器与装备研发中心, 吉林 长春 130033
2 中国科学院大学, 北京 100049
图 & 表
图 1. 光学设计流程图
Fig. 1. Flow chart of optical design
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图 2. 5组全动变焦镜头高斯结构示意图
Fig. 2. Diagram of Gaussian structure of five groups of motion zoom lenses
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图 3. 变焦镜头凸轮曲线
Fig. 3. Cam curves of zoom lens
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图 4. 摄远端示意图及其调制传递函数。(a)摄远端示意图;(b)摄远端在F#3.0下传递函数
Fig. 4. Diagram of telephoto mode and its modulation transfer function. (a) Diagram of telephoto mode; (b) transfer function of telephoto mode under F#3.0
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图 5. 广角端示意图及调制传递函数。(a)广角端示意图;(b)广角端在F#3.0下传递函数
Fig. 5. Diagram of wide-angle mode and modulation transfer function. (a) Diagram of wide-angle mode; (b) transfer function of wide-angle mode under F#3.0
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图 6. 33~100 mm全动变焦镜头实际凸轮曲线
Fig. 6. Actual cam curves of 33-100 mm motion zoom lenses
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表 1变焦镜头参数
Table1. Parameters of zoom lens
| Serial number | Parameter | Technical indicator |
|---|
| 1 | Wavelength range | Visible light | | 2 | Focal length /mm | 33-100 (continuous) | | 3 | F | 3 | | 4 | Image size /mm | 43.26 (diagonal length) | | 5 | Angle of full fieldof view /(°) | 24.421-66.510 |
|
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表 2广义拉格朗日乘子法下的镜组及总长度边界条件
Table2. Lens group and total length boundary conditions for generalized Lagrangian multiplier method
| Mode | D1 | D2 | D3 | D4 | Total length |
|---|
| Long focallength | ≥25 | ≥0 | ≥1 | ≥0 | ≥155 | | Short focallength | ≥1 | ≥0 | ≥0 | | |
|
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表 3内点法下的镜组及总长度边界条件
Table3. Lens group and total length boundary conditions for interior point method
| Mode | D1 | D2 | D3 | D4 | Total length |
|---|
| Long focallength | ≥0 | ≥0 | ≥0 | ≥0 | ≥130 | | Short focallength | ≥2 | ≥0 | ≥0 | | |
|
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表 4序列二次规划法下的镜组及总长度边界条件
Table4. Lens group and total length boundary conditions for sequence quadratic programming method
| Mode | D1 | D2 | D3 | D4 | D5 | Totallength |
|---|
| Long focallength | ≥0 | ≥0 | ≥0 | ≥0 | ≥49 | ≥120 | | Short focallength | ≥0 | ≥0 | ≥0 | ≥0 | | |
|
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表 5三种优化算法下各镜组焦距值与相对孔径
Table5. Focal length and relative aperture of each lens group for three optimization algorithms
| AlgorithmRelative aperture | GLM method | Interior point method | SQP |
|---|
| f' | D/f' | f' | D/f' | f' | D/f' |
|---|
| Group 1 | 67.36 | 1/0.80 | 113.05 | 1/1.17 | 138.78 | 1/1.30 | | Group 2 | -25.33 | 1/0.54 | -37.47 | 1/0.54 | -44.12 | 1/0.72 | | Group 3 | 51.45 | 1/1.89 | 52.15 | 1/1.68 | 41.93 | 1/1.75 | | Group 4 | -145.79 | 1/3.64 | -118.83 | 1/3.25 | -99.92 | 1/3.64 | | Group 5 | 74.86 | 1/1.48 | 84.85 | 1/1.82 | 85.23 | 1/1.97 |
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表 6三种优化算法计算结果
Table6. Calculation results of three optimization algorithms
| Algorithm | Total length oftelephoto mode /mm | Total length ofwide-angle mode /mm | Largest relativeaperture value(aperture/focal length) | Aperture ofgroup 1 |
|---|
| GeneralizedLagrangian method | 159.19 | 157.79 | 1/0.54 | 84 | | Interiorpoint method | 180.58 | 182.42 | 1/0.54 | 97 | | Modified sequencequadratic programming | 172.30 | 150.43 | 1/0.72 | 106 |
|
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温林凯, 刘英, 姜洋, 邢妍, 孙强. 大孔径长焦距全画幅变焦镜头结构计算与优化设计[J]. 激光与光电子学进展, 2019, 56(9): 092201. Linkai Wen, Ying Liu, Yang Jiang, Yan Xing, Qiang Sun. Structural Calculation and Optimal Design of Large-Aperture Long-Focal-Length Full-Frame Zoom Lens[J]. Laser & Optoelectronics Progress, 2019, 56(9): 092201.
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