Method for Expanding Field-of-View of Cassegrain System with Computational Imaging

Hanqing Zheng; Qingfeng Cui; Yang Hu; Lin Sun; Xudong Gao; Yu Guo

doi:10.3788/AOS202040.1522001

Acta Optica Sinica, Volume. 40, Issue 15, 1522001(2020)

Method for Expanding Field-of-View of Cassegrain System with Computational Imaging

Hanqing Zheng, Qingfeng Cui^*, Yang Hu, Lin Sun, Xudong Gao, and Yu Guo

Author Affiliations

School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China

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Figures & Tables(12)

Fig. 1. Relationship between contributions of coma and astigmatism to diffuse spot and field of view

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Fig. 2. Flow chart of proposed method

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Fig. 3. Layout of designed optical system

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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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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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Fig. 6. PSF comparison results of different models. (a) PSF calculated by Zemax software; (b) PSF calculated by proposed model

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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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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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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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Table 1. First nine terms of fringe Zernike polynomial

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Table 1. First nine terms of fringe Zernike polynomial

Term	Zernike polynomial	Name
$Z_{0}^{0}$	1	Piston
$Z_{1}^{1}$	Rcos θ	X-tilt
$Z_{1}^{- 1}$	Rsin θ	Y-tilt
$Z_{2}^{0}$	2R²-1	Defocus
$Z_{2}^{2}$	R²cos(2θ)	0° astigmatism
$Z_{2}^{- 2}$	R²sin(2θ)	45° astigmatism
$Z_{3}^{1}$	(3R³-2R)cos θ	X-coma
$Z_{3}^{- 1}$	(3R³-2R)sin θ	Y-coma
$Z_{4}^{0}$	6R⁴-6R²+1	Sphere

Table 2. Design specifications of system
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Table 2. Design specifications of system
Parameter Content
Focal length /mm 470
F-number 5.5
Wavelength /nm 900--1700
Field of view /(°) 1.5

Table 3. Fitting coefficients for sampling points
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Table 3. Fitting coefficients for sampling points
j Y field b_j c_j
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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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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