Automatic Design Method for the Off-axis Four-mirror Initial Arrangement Using Seidel Aberration Theory

Liwei ZHU; Lei YANG; Jie CHEN; Wenping ZHANG; Shiliang GUO; Hongbo XIE

doi:10.3788/gzxb20245301.0122003

Acta Photonica Sinica, Volume. 53, Issue 1, 0122003(2024)

Automatic Design Method for the Off-axis Four-mirror Initial Arrangement Using Seidel Aberration Theory

Liwei ZHU1... Lei YANG1,*, Jie CHEN1, Wenping ZHANG2,3, Shiliang GUO1,2 and Hongbo XIE1 |Show fewer author(s)

¹Key Laboratory of Optoelectronics Information Technology（Ministry of Education），School of Precision Instruments and Optoelectronics Engineering，Tianjin University，Tianjin 300072，China

²Tianjin University-Cspace Aerospace Optoelectronics System Engineering Joint Laboratory，Tianjin 300072，China

³Cspace（Shaoxing）Intelligent Technology Co Ltd，Shaoxing 311899，China

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Figures & Tables(12)

Fig. 1. Ray tracing of the initial coaxial four-mirror structure

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Fig. 2. Flow chart of particle swarm optimization algorithm

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Fig. 3. Unobscured initial structure selection and optimization flow chart

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Fig. 4. Error function iteration curves with different initial values

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Fig. 5. Off-axis four-mirror initial configuration layout

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Fig. 6. Off-axis four-mirror initial structures corresponding to different solutions

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Fig. 7. Layout of edge ray position control

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Fig. 8. The optimization process of gradually expanding entrance pupil diameter and field angle

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Fig. 9. Optimized off-axis four-mirror structure

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Table 1. Parameters of off-axis four-mirror optical system
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Table 1. Parameters of off-axis four-mirror optical system
Name Technical target
Focal length/mm 1 200
Entrance pupil diameter/mm 200
Waveband/nm 486~656
Field of view 20°×1.2°
Modulation transfer function >0.5 @60 lp/mm

Table 2. Initial solutions of off-axis four-mirror optical system

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Table 2. Initial solutions of off-axis four-mirror optical system

	$r_{1}$	$r_{2}$	$r_{3}$	$r_{4}$	$t_{1}$	$t_{2}$	$t_{3}$
Trial1	-2 391.89	-2 584.56	-1 793.39	-3 886.91	-382.82	380.50	-383.01
Trial2	-4 419.11	3 548.90	-4 044.07	-1 466.10	-266.69	297.42	-239.61
Trial3	-1 207.95	-616.63	-1 452.10	4 916.52	-322.85	219.84	-272.69
Trial4	-1 351.00	-896.88	-1 523.77	-4 238.82	-365.76	319.00	-276.17

Table 3. Seidel aberration corresponding to the initial solution
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Table 3. Seidel aberration corresponding to the initial solution
$S_{I}$ $S_{I I}$ $S_{I I I}$ $S_{I V}$ $S_{V}$
Trial1 0.000 22 -0.001 4 0.010 -0.011 0.012
Trial2 0.000 48 -0.002 0 0.013 -0.002 5 -0.043
Trial3 0.000 94 -0.003 0 0.011 -0.003 4 0.019
Trial4 0.000 64 -0.002 8 0.012 -0.001 6 -0.019

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Liwei ZHU, Lei YANG, Jie CHEN, Wenping ZHANG, Shiliang GUO, Hongbo XIE. Automatic Design Method for the Off-axis Four-mirror Initial Arrangement Using Seidel Aberration Theory[J]. Acta Photonica Sinica, 2024, 53(1): 0122003

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