Fig. 1. Layout of off-axis three-mirror afocal optical system
Fig. 2. Diagram of the relationship between entrance pupil diameter D and envelope R
Fig. 3. Aperture off-axis three-mirror afocal system based on freeform surface
Fig. 4. Wave aberration of the aperture off-axis three-mirror optical system
Fig. 5. Strehl Ratio of the aperture off-axis three-mirror optical system
Fig. 6. Field of view off-axis three-mirror afocal system based on freeform surface
Fig. 7. Wave aberration of the field of view off-axis three-mirror optical system
Fig. 8. Strehl Ratio of the field of view off-axis three-mirror optical system
Parameter | Specification |
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Entrance pupil diameter /mm | 350 | Wavelength/μm | 3.7~4.8 | 7.7~10.5 | Compression ratio | 7 |
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Table 1. Design parameters of optical system
Mirror | Radius/mm | Thickness/mm | Conic | Rotation angle/(°) |
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Primary Mirror(PM) | -1260 | -484.655 | -1 | 0 | Secondary Mirror(SM) | -300.145 | 490.237 | -4.501 | 0 | Tertiary Mirror(TM) | -180 | -300 | -1 | 0 |
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Table 2. Parameters of the aperture off-axis three-mirror optical system
Item | Coefficient(PM) | Coefficient(SM) | Coefficient(TM) |
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Z4 | -2.154 | 0.093 | 4.036 | Z5 | 2.241×103 | 2.745×10-3 | 1.829×10-4 | Z8 | -3.984×10-3 | -3.613×10-3 | -1.181×10-3 | Z9 | -4.471×10-4 | -3.322×10-4 | -2.722×10-5 | Z11 | -1.615×10-5 | 2.106×10-4 | 5.745×10-5 | Z12 | -4.593×10-4 | -4.248×10-4 | 1.876×10-4 | Z15 | 1.033×10-4 | 3.919×10-4 | -1.054×10-4 | Z16 | -1.876×10-5 | 1.344×10-4 | -1.414×10-5 | Z17 | 5.123×10-5 | -1.400×10-4 | 2.566×10-5 | Z20 | -8.191×10-5 | 1.116×10-4 | 2.684×10-5 |
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Table 3. Zernike polynomial coefficients of the aperture off-axis three-mirror optical system
Mirror | Radius/mm | Thickness/mm | Conic | Rotation angle/(°) |
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Primary Mirror(PM) | -986.159 | -410.063 | -1 | 0 | Secondary Mirror(SM) | -268.288 | 342.656 | -4.529 | -14.4 | Tertiary Mirror(TM) | -374.606 | -300 | -1 | -52.8 |
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Table 4. Parameters of the field of view off-axis three-mirror optical system
Item | Coefficient(PM) | Coefficient(SM) | Coefficient(TM) |
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Z4 | 0.391 | -0.313 | -0.033 | Z5 | -0.527 | 0.280 | 0.366 | Z8 | -0.015 | 0.015 | -0.029 | Z9 | -0.269 | 0.208 | -0.189 | Z11 | 0.05 | -0.014 | 6.074×10-3 | Z12 | 0.126 | -0.098 | -0.036 | Z15 | -0.152 | -0.070 | 0.052 | Z16 | 5.401×10-3 | 0.018 | 7.341×10-3 | Z17 | 0.028 | -0.033 | 0.026 | Z20 | -0.062 | -0.089 | -0.016 |
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Table 5. Zernike polynomial coefficients of the field of view off-axis three-mirror optical system
| Surface type/λ (λ=632.8 nm) | Radius/mm | Distance/mm | Decenter/mm | Tilt/(°) |
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Primary Mirror(PM) | 1/50 | ±0.1 | ±0.1 | ±0.01 | —— | Secondary Mirror(SM) | 1/50 | ±0.1 | ±0.1 | ±0.01 | ±0.01 | Tertiary Mirror(TM) | 1/50 | ±0.1 | —— | ±0.02 | ±0.01 |
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Table 6. Tolerance distribution of optical system
| Value/λ |
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Monte Carlo | 90%:0.085 037 11 | 80%:0.074 126 10 | 50%:0.040 324 53 | 20%:0.018 510 26 | 10%:0.012 537 94 |
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Table 7. Monte Carlo analysis results of the aperture off-axis three-mirror optical system
| Value/λ |
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Monte Carlo | 90%:0.077 603 30 | 80%:0.066 189 41 | 50%:0.037 371 87 | 20%:0.016 235 19 | 10%:0.012 912 49 |
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Table 8. Monte Carlo analysis results of the field of view off-axis three-mirror optical system