Design of Off-Axis Three-Mirror Optical System for Dynamic Target Simulation

Zhiqiang Wang; Chunyan Wang; Hao Sun; Yanhe Chang; Yuanyuan Li

doi:10.3788/LOP57.012203

Laser & Optoelectronics Progress, Volume. 57, Issue 1, 012203(2020)

Design of Off-Axis Three-Mirror Optical System for Dynamic Target Simulation

Zhiqiang Wang^1、*, Chunyan Wang¹, Hao Sun^1,2, Yanhe Chang¹, and Yuanyuan Li¹

Author Affiliations

¹College of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China

²State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China

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Figures & Tables(11)

Fig. 1. Optical path of coaxial three-mirror optical system

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Fig. 2. Imaging quality evaluation of optimized coaxial three-mirror optical system. (a) Spot diagram of system; (b) MTF curves of system

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$Optical path and performance charts of off-axis three-mirror optical system. (a) Optical path of system; (b) MTF curves of system; (c) spot diagrams of system; (d) field curvature and distortion of system; (e) fraction of enclosed energy; (f) polychromatic PSF$

Fig. 3. Optical path and performance charts of off-axis three-mirror optical system. (a) Optical path of system; (b) MTF curves of system; (c) spot diagrams of system; (d) field curvature and distortion of system; (e) fraction of enclosed energy; (f) polychromatic PSF

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Table 1. Optical system design parameters
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Table 1. Optical system design parameters
Parameter Specification
Wavelength /nm 200-1200
Entrance pupil diameter /mm 350
Effective focal length /mm 2800
Field of view /[(°)×(°)] 2×2
F-number 8
MTF (all field) /(70 lp·mm^-1) ≥0.4

Table 2. Computation list of initial structural parameters

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Table 2. Computation list of initial structural parameters

α₁	r₁ /mm	r₂ /mm	r₃ /mm	d₁ /mm	d₂ /mm	d₃ /mm	d₁+d₂ /mm
0.30000.32000.33000.33300.33330.33360.33380.33400.33500.3360	-2800-2800-2800-2800-2800-2800-2800-2800-2800-2800	-1681.6817-1793.7938-1849.8498-1966.6667-1868.3483-1870.0300-1871.1512-1872.2723-1877.8779-1883.4835	-1678.3183-1790.2062-1846.1502-1862.9333-1864.6117-1866.2900-1867.4088-1868.5277-1874.4088-1879.7165	-1960-1904-1876-1867.60-1866.76-1865.92-1865.36-1864.80-1862-1859.20	1680179218481864.801866.681868.161869.281870.4018761881.60	-838.3200-894.2080-922.1520-930.5352-931.3735-932.2118-932.7707-933.3296-936.1240-938.9184	-280-112-28-2.8000-0.00802.24003.92005.60001422.4000

Table 3. Initial parameters of coaxial three-mirror system
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Table 3. Initial parameters of coaxial three-mirror system
Type Radius /mm Distance /mm Conic
PM -5600 -1866.7600 -1
SM -1868.3483 1866.7600 0
TM -1864.6117 -831.3735 0

Table 4. Parameters of optimized coaxial three-mirror optical system
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Table 4. Parameters of optimized coaxial three-mirror optical system
Type Radius /mm Distance /mm Conic
PM -4299.6328 -1558.2610 -1
SM -1174.5877 1558.2615 0
TM -1555.6747 -785.4488 0

Table 5. Parameters of coaxial high-order aspherical surface based off-axis three-mirror optical system

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Table 5. Parameters of coaxial high-order aspherical surface based off-axis three-mirror optical system

Type	Surface type	Radius /mm	Distance /mm	A₄	A₆
PM	Even aspheric surface	-5999.930	-1597.506	1.016×10^-12	-2.379×10^-20
SM	Spherical surface	-1914.321	1597.506	0	0
TM	Even aspheric surface	-2791.271	-2000	-1.103×10^-12	-3.654×10^-19

Table 6. Wave aberrations of different field of view (primary wavelength λ=636.3 nm)
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Table 6. Wave aberrations of different field of view (primary wavelength λ=636.3 nm)
x /(°) y /(°) RMS /λ
0 1 0.0064
0 0.5 0.0092
0 -0.5 0.0089
0 -1 0.0078

Table 7. Tolerance allocation results of optical systems
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Table 7. Tolerance allocation results of optical systems
Tolerance Item PM SM TM
D_X /mm ±0.07 ±0.3
Assembling D_Y /mm ±0.1 ±0.1
T_X /(') ±1.2 ±1.8
T_Y /(″) ±15 ±18
ΔD /mm ±0.2 ±0.2 ±0.2
Manufacturing ΔR ±0.2 ±0.2 ±0.2
ΔK ±0.002 ±0.002

Table 8. Tolerance analysis results of optical systems
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Table 8. Tolerance analysis results of optical systems
MTF Percentage /%
>0.400 100
>0.474 90
>0.486 80
>0.519 50
>0.537 20
>0.542 10

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Zhiqiang Wang, Chunyan Wang, Hao Sun, Yanhe Chang, Yuanyuan Li. Design of Off-Axis Three-Mirror Optical System for Dynamic Target Simulation[J]. Laser & Optoelectronics Progress, 2020, 57(1): 012203

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