用计算成像扩大卡塞格林系统视场的方法 
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Method for Expanding Field-of-View of Cassegrain System with Computational Imaging
长春理工大学光电工程学院, 吉林 长春 130022
图 & 表
图 1. 彗差、像散对弥散斑的贡献量与视场的关系
Fig. 1. Relationship between contributions of coma and astigmatism to diffuse spot and field of view
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图 2. 所提方法的流程图
Fig. 2. Flow chart of proposed method
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图 3. 所设计光学系统的结构
Fig. 3. Layout of designed optical system
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图 4. 不同视场的波前像差对比结果。 (a)(b) 0°;(c)(d) 0.38°;(e)(f) 0.53°;(g)(h) 0.75°
Fig. 4. Wavefront aberration at each field of view. (a)(b) 0°; (c)(d) 0.38°; (e)(f) 0.53°; (g)(h) 0.75°
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图 5. 不同视场的弥散斑对比结果。(a)(b) 0°;(c)(d) 0.38°;(e)(f) 0.53°;(g)(h) 0.75°
Fig. 5. Diffuse spot at each field of view. (a)(b) 0°; (c)(d) 0.38°; (e)(f) 0.53°; (g)(h) 0.75°
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图 6. 不同模型的PSF对比结果。(a)利用Zemax软件计算的PSF;(b)所提模型计算的PSF
Fig. 6. PSF comparison results of different models. (a) PSF calculated by Zemax software; (b) PSF calculated by proposed model
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图 7. 模拟成像复原前、后结果对比。(a)(c)成像模拟图及其局部放大图;(b)(d)复原图及其局部放大图
Fig. 7. Comparison of results before and after simulated imaging restoration. (a)(c) Simulated image and its partial enlarged view; (b)(d) restoration image and its partial enlarged view
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图 8. 分辨率板成像复原前、后结果对比。(a)(c)(e)分辨率板模拟成像及其局部放大图;(b)(d)(f)复原图及其局部放大图
Fig. 8. Comparison of results before and after imaging restoration of resolution plate. (a)(c)(e) Simulation image of resolution plate and its partial enlarged views; (b)(d)(f) restoration image and its partial enlarged views
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图 9. 图8中各区域复原前、后的MTF对比。(a)复原前各区域的MTF;(b)复原后各区域的MTF
Fig. 9. MTF comparison of each region in Fig. 8 before and after restoration. (a) MTF of each region before restoration; (b) MTF of each region after restoration
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表 1条纹泽尼克多项式的前9项
Table1. First nine terms of fringe Zernike polynomial
| Term | Zernike polynomial | Name |
|---|
| 1 | Piston | | Rcos θ | X-tilt | | Rsin θ | Y-tilt | | 2R2-1 | Defocus | | R2cos(2θ) | 0° astigmatism | | R2sin(2θ) | 45° astigmatism | | (3R3-2R)cos θ | X-coma | | (3R3-2R)sin θ | Y-coma | | 6R4-6R2+1 | Sphere |
|
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表 2系统指标
Table2. Design specifications of system
| Parameter | Content |
|---|
| Focal length /mm | 470 | | F-number | 5.5 | | Wavelength /nm | 900--1700 | | Field of view /(°) | 1.5 |
|
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表 3采样点拟合系数
Table3. Fitting coefficients for sampling points
| j | Y field | bj | cj |
|---|
| 1 | 0 | 0.0084 | 0.0034 | | 2 | 0.039 | 0.2283 | 0.0986 | | 3 | 0.094 | 0.5532 | 0.2635 | | 4 | 0.188 | 1.1232 | 0.5525 | | 5 | 0.281 | 1.6602 | 0.8045 | | 6 | 0.375 | 2.2199 | 1.0885 | | 7 | 0.469 | 2.7548 | 1.3410 | | 8 | 0.563 | 3.2861 | 1.6002 | | 9 | 0.656 | 3.8326 | 1.8374 | | 10 | 0.750 | 4.3808 | 2.1167 |
|
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郑汉青, 崔庆丰, 胡洋, 孙林, 高旭东, 郭玉. 用计算成像扩大卡塞格林系统视场的方法[J]. 光学学报, 2020, 40(15): 1522001. Hanqing Zheng, Qingfeng Cui, Yang Hu, Lin Sun, Xudong Gao, Yu Guo. Method for Expanding Field-of-View of Cassegrain System with Computational Imaging[J]. Acta Optica Sinica, 2020, 40(15): 1522001.
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