Compact Large Field-of-View Optical Design Based on Joint Aberration Solution

Fig. 2. Optimization process. (a) Flowchart of SA optimization; (b) iteration convergence process for imaging quality evaluation function of linear FOV initial structure

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Fig. 3. Off-axis three-mirror optical system with linear FOV of 3° and image quality evaluation. (a) Optical system layout; (b) spot diagram; (c) modulation transfer function

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Fig. 4. Off-axis three-mirror optical system with FOV of 20°×3°and image quality evaluation. (a) Optical system layout; (b) spot diagram; (c) modulation transfer function

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Fig. 5. Three-dimensional layout of off-axis three-mirror optical system with large FOV of 30°×3°. (a) Cross-section layout of optical system; (b) 3D layout of optical system

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Fig. 6. MTF of freeform off-axis three-mirror optical system with large FOV of 30°×3°

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Fig. 7. Grid distortion

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Table 1. Boundary values and optimal solutions of initial structure parameters of off-axis three-mirror optical system

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Table 1. Boundary values and optimal solutions of initial structure parameters of off-axis three-mirror optical system

Parameter	Lower limit	Upper limit	Solution
$α_{1}$	0.1	0.5	0.5910
$α_{2}$	0.5	1.0	0.9990
$β_{1}$ /10³	-1.5	-0.5	-0.6795
$β_{2}$ /10^-3	-1.5	-0.5	-1.0700
$k_{1}$	-5.0	5.0	-1.3490
$k_{2}$	-5.0	5.0	0.5660
$k_{3}$	-5.0	5.0	0.2080
$R_{1}$ /mm	—	—	-1209.809
$R_{2}$ /mm	—	—	-357.264
$R_{3}$ /mm	—	—	-503.847
$d_{1}$ /mm	—	—	-342.602
$d_{2}$ /mm	—	—	342.607
$d_{3}$ /mm	—	—	-349.454

Table 2. Specifications of off-axis three-mirror optical system with large FOV and freeform surface
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Table 2. Specifications of off-axis three-mirror optical system with large FOV and freeform surface
Parameter Value
Focal length /mm 500
F-number 5
Full-field of view /［（°）×（°）］ 30×3
Full-field grid distortion /% ≤1
MTF /（50 lp·mm^-1） ≥0.4

Table 3. Structural parameters of off-axis three-mirror optical system with FOV of 20°×3°

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Table 3. Structural parameters of off-axis three-mirror optical system with FOV of 20°×3°

Surface	Type	Radius /mm	Thickness /mm	Conic	High-order term
Surface	Type	Radius /mm	Thickness /mm	Conic	4th	6th	8th	10th
Primary mirror	Standard	-1365.694	-367.330	-1.440	—	—	—	—
Second mirror	Standard	-397.798	369.969	0.819	—	—	—	—
Tertiary mirror	Even asphere	-545.526	-390.000	0.542	-2.62×10^-10	8.23×10^-16	9.06×10^-21	7.52×10^-27

Table 4. Parameters of Zernike freeform off-axis three-mirror optical system with large FOV

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Table 4. Parameters of Zernike freeform off-axis three-mirror optical system with large FOV

Surface	Type	Radius /mm	Thickness /mm	Conic	High-order term
Surface	Type	Radius /mm	Thickness /mm	Conic	4th	6th	8th	10th
Primary mirror	Even asphere	-1300.72	-320.00	0.29	8.28×10^-11	3.47×10^-16	-3.25×10^-21	1.37×10^-26
Second mirror	Standard	-361.92	300.00	—	—	—	—	—
Tertiary mirror	Freeform	-1653.68	-319.98	—	4.05×10^-9	-1.28×10^-14	-6.17×10^-19	-4.04×10^-24

Table 5. Zernike freeform parameters for tertiary mirror

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Table 5. Zernike freeform parameters for tertiary mirror

Term	Value	Term	Value	Term	Value
Z₁	—	Z₁₃	—	Z₂₅	1.3876
Z₂	—	Z₁₄	—	Z₂₆	—
Z₃	—	Z₁₅	7.5470	Z₂₇	0.0359
Z₄	-27.7772	Z₁₆	7.5675	Z₂₈	-0.0696
Z₅	0.2033	Z₁₇	-0.3138	Z₂₉	—
Z₆	—	Z₁₈	—	Z₃₀	—
Z₇	—	Z₁₉	—	Z₃₁	-0.0604
Z₈	12.7432	Z₂₀	-0.4371	Z₃₂	0.0086
Z₉	12.9490	Z₂₁	0.0375	Z₃₃	—
Z₁₀	—	Z₂₂	—	Z₃₄	—
Z₁₁	-1.0878	Z₂₃	—	Z₃₅	0.1202
Z₁₂	0.0143	Z₂₄	1.6328	Z₃₆	0.0895

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Zheng Qu, Xing Zhong, Kun Zhang, Yuanhang Wang, Lei Li, Sipeng Wu. Compact Large Field-of-View Optical Design Based on Joint Aberration Solution[J]. Acta Optica Sinica, 2022, 42(21): 2122001

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Paper Information

Category: Optical Design and Fabrication

Received: Mar. 14, 2022

Accepted: May. 22, 2022

Published Online: Nov. 4, 2022

The Author Email: Zhong Xing (ciomper@163.com)

DOI:10.3788/AOS202242.2122001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Boundary values and optimal solutions of initial structure parameters of off-axis three-mirror optical system

Table 1. Boundary values and optimal solutions of initial structure parameters of off-axis three-mirror optical system

Table 2. Specifications of off-axis three-mirror optical system with large FOV and freeform surface

Table 2. Specifications of off-axis three-mirror optical system with large FOV and freeform surface

Table 3. Structural parameters of off-axis three-mirror optical system with FOV of 20°×3°

Table 3. Structural parameters of off-axis three-mirror optical system with FOV of 20°×3°

Table 4. Parameters of Zernike freeform off-axis three-mirror optical system with large FOV

Table 4. Parameters of Zernike freeform off-axis three-mirror optical system with large FOV

Table 5. Zernike freeform parameters for tertiary mirror

Table 5. Zernike freeform parameters for tertiary mirror