Design Method for Initial Structure of Freeform Surface Optical System

Yue Luo; Libo Li; Yutao Feng; Hengxiang Zhao; Xijie Li; Qinglan Bai

doi:10.3788/AOS202141.2422002

Acta Optica Sinica, Volume. 41, Issue 24, 2422002(2021)

Design Method for Initial Structure of Freeform Surface Optical System

Yue Luo^1,2, Libo Li¹, Yutao Feng^1、*, Hengxiang Zhao¹, Xijie Li¹, and Qinglan Bai¹

¹Key Laboratory of Spectral Imaging Technology, Xi′an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi′an, Shaanxi 710119, China

²University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(9)

Fig. 1. Ray tracing model

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Fig. 2. Feature ray sampling. (a) Field of view sampling; (b) sparse pupil sampling; (c) dense pupil sampling

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Fig. 3. Design flow chart of off-axis optical system based on direct construction method

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Fig. 4. Solving process of initial structure. (a) Before iteration; (b) after iteration

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Fig. 5. Convergence process of solving initial structure

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Fig. 6. Design results of off-axis two-mirror freeform surface optical system. (a) Optical path layout; (b) wavefront error distribution in full field of view; (c) RMS diameter of spot diagram; (d) MTF

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Table 1. Design requirements of off-axis two-mirror system
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Table 1. Design requirements of off-axis two-mirror system
Parameter Value
Wavelength range /nm 400--800
Relative aperture 1/4
Effective focal length /mm 150
Field of view /[(°)×(°)] 2×1.5
Pixel size /μm 13.5
MTF at 37 lp/mm >0.6

Table 2. Configuration parameters of off-axis two-mirror optical system without optical power
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Table 2. Configuration parameters of off-axis two-mirror optical system without optical power
Parameter Value
d₁ /mm 50
d₂ /mm 70
α₁ /(°) -19
α₂ /(°) -14

Table 3. Polynomial coefficients of freeform surface

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Table 3. Polynomial coefficients of freeform surface

Item	Viewing mirror	Focusing mirror
y	8.459×10^-2	-6.622×10^-2
x²	1.334×10^-2	1.886×10^-2
y²	-9.381×10^-4	-4.459×10^-2
x²y	8.309×10^-4	-3.316×10^-3
y³	1.059×10^-3	3.604×10^-3
x⁴	8.323×10^-5	1.672×10^-4
x²y²	1.084×10^-4	3.076×10^-4
y⁴	3.081×10^-5	1.944×10^-4
x⁴y	-4.333×10^-7	1.139×10^-5
x²y³	7.028×10^-7	2.816×10^-5
y⁵	-7.484×10^-7	1.704×10^-5
x⁶	-5.156×10^-8	-2.643×10^-6
x⁴y²	-9.504×10^-7	-2.895×10^-5
x²y⁴	-5.134×10^-7	-3.074×10^-5
y⁶	-1.196×10^-7	-1.310×10^-5

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Yue Luo, Libo Li, Yutao Feng, Hengxiang Zhao, Xijie Li, Qinglan Bai. Design Method for Initial Structure of Freeform Surface Optical System[J]. Acta Optica Sinica, 2021, 41(24): 2422002

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