Design of compact off-axis triple mirror optical system

指标项	参数值
焦距	800 mm
入瞳直径	200 mm
F数	4
光谱范围	0.486~0.656 μm，0.78~2.5 μm，3~5 μm
视场	12°×6°
像元尺寸	可见光通道为3 μm，近红外通道为5 μm，中红外通道为17 μm
成像要求	可见光MTF(@160 lp/mm＞0.2) 近红外MTF(@100 lp/mm＞0.2) 中红外MTF(@30 lp/mm＞0.2)

Table 2. Initial structure parameter
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Table 2. Initial structure parameter
曲率半径/mm 厚度圆锥系数
主镜 −1641.935 −330 −4.118
次镜 −550.510 330 −0.919
三镜 −828.318 −730.4 0

Table 3. Tilt and eccentricity of the initial structure
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Table 3. Tilt and eccentricity of the initial structure
项目倾斜X/倾斜Y 偏心X/偏心Y
主镜 ±18.4° ±800
次镜 ±45° ±565
三镜 ±45° ±1600

Table 4. Zernike standard free-form surface coefficient table

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Table 4. Zernike standard free-form surface coefficient table

项目	Z1	Z2	Z3	Z4	Z5	Z6	Z7
	−74.798	−1.701×10⁻⁵	10.674	0.164	−4.348×10^-7	0.017	2.38×10^-3
	Z8	Z9	Z10	Z11	Z12	Z13	Z14
三镜	−2.385×10⁻⁸	−1.049×10⁻⁴	−5.268×10⁻⁸	−2.277×10⁻⁵	−1.079×10⁻⁵	7.318×10⁻⁹	3.574×10⁻⁷
	Z15	Z16	Z17	Z18	Z19	Z20
	3.034×10⁻⁹	5.154×10⁻¹¹	7.969×10⁻⁷	7.156×10⁻¹⁰	8.6×10⁻⁹	8.421×10⁻¹⁰

Table 5. Error distribution table

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Table 5. Error distribution table

公差类别	公差项目	主镜	次镜	三镜
装调误差	X方向偏轴/mm	0.05	0.2	0
	Y方向偏轴/mm	0.05	0.2	0
	X方向倾斜/(°)	0.005	0.001	0
	Y方向倾斜/(°)	0.005	0.001	0
面型误差	曲率半径/mm	0.2	0.2	0.2
面型误差	波峰到波谷(PV值)/ $μ m$	0.5	0.5	0.2

Table 6. Monte Carlo cumulative probability statistic
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Table 6. Monte Carlo cumulative probability statistic
累积概率/% 弥散斑RMS/mm MTF
90 0.00476342 0.11910409
80 0.00455730 0.15766662
50 0.00396765 0.18865949
20 0.00323214 0.23130557
10 0.00308628 0.24853763

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Chengbin Jiang, Zhili Chen, Xiaotong Wang, Yuan Zhang, Shanshan Cheng. Design of compact off-axis triple mirror optical system[J]. Opto-Electronic Engineering, 2023, 50(12): 230231-1

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