• Acta Photonica Sinica
  • Vol. 51, Issue 5, 0511002 (2022)
Junhua YAN*, Zijia HU, Deyan ZHU, Yang CHEN, Yin ZHANG, and Liqian YU
Author Affiliations
  • Key Laboratory of Space Photoelectric Detection and Perception,Ministry of Industry and Information Technology,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China
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    DOI: 10.3788/gzxb20225105.0511002 Cite this Article
    Junhua YAN, Zijia HU, Deyan ZHU, Yang CHEN, Yin ZHANG, Liqian YU. Design of Compact Off-axis Three-mirror Afocal System Based on Freeform Surface[J]. Acta Photonica Sinica, 2022, 51(5): 0511002 Copy Citation Text show less
    Layout of off-axis three-mirror afocal optical system
    Fig. 1. Layout of off-axis three-mirror afocal optical system
    Diagram of the relationship between entrance pupil diameter D and envelope R
    Fig. 2. Diagram of the relationship between entrance pupil diameter D and envelope R
    Aperture off-axis three-mirror afocal system based on freeform surface
    Fig. 3. Aperture off-axis three-mirror afocal system based on freeform surface
    Wave aberration of the aperture off-axis three-mirror optical system
    Fig. 4. Wave aberration of the aperture off-axis three-mirror optical system
    Strehl Ratio of the aperture off-axis three-mirror optical system
    Fig. 5. Strehl Ratio of the aperture off-axis three-mirror optical system
    Field of view off-axis three-mirror afocal system based on freeform surface
    Fig. 6. Field of view off-axis three-mirror afocal system based on freeform surface
    Wave aberration of the field of view off-axis three-mirror optical system
    Fig. 7. Wave aberration of the field of view off-axis three-mirror optical system
    Strehl Ratio 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
    ParameterSpecification
    Entrance pupil diameter /mm350
    Wavelength/μm3.7~4.8
    7.7~10.5
    Compression ratio7
    Table 1. Design parameters of optical system
    MirrorRadius/mmThickness/mmConicRotation angle/(°)
    Primary Mirror(PM)-1260-484.655-10
    Secondary Mirror(SM)-300.145490.237-4.5010
    Tertiary Mirror(TM)-180-300-10
    Table 2. Parameters of the aperture off-axis three-mirror optical system
    ItemCoefficient(PM)Coefficient(SM)Coefficient(TM)
    Z4-2.1540.0934.036
    Z52.241×1032.745×10-31.829×10-4
    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
    Z11-1.615×10-52.106×10-45.745×10-5
    Z12-4.593×10-4-4.248×10-41.876×10-4
    Z151.033×10-43.919×10-4-1.054×10-4
    Z16-1.876×10-51.344×10-4-1.414×10-5
    Z175.123×10-5-1.400×10-42.566×10-5
    Z20-8.191×10-51.116×10-42.684×10-5
    Table 3. Zernike polynomial coefficients of the aperture off-axis three-mirror optical system
    MirrorRadius/mmThickness/mmConicRotation angle/(°)
    Primary Mirror(PM)-986.159-410.063-10
    Secondary Mirror(SM)-268.288342.656-4.529-14.4
    Tertiary Mirror(TM)-374.606-300-1-52.8
    Table 4. Parameters of the field of view off-axis three-mirror optical system
    ItemCoefficient(PM)Coefficient(SM)Coefficient(TM)
    Z40.391-0.313-0.033
    Z5-0.5270.2800.366
    Z8-0.0150.015-0.029
    Z9-0.2690.208-0.189
    Z110.05-0.0146.074×10-3
    Z120.126-0.098-0.036
    Z15-0.152-0.0700.052
    Z165.401×10-30.0187.341×10-3
    Z170.028-0.0330.026
    Z20-0.062-0.089-0.016
    Table 5. Zernike polynomial coefficients of the field of view off-axis three-mirror optical system

    Surface type/λ

    λ=632.8 nm)

    Radius/mmDistance/mmDecenter/mmTilt/(°)
    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
    Table 6. Tolerance distribution of optical system
    Value/λ
    Monte Carlo90%:0.085 037 11
    80%:0.074 126 10
    50%:0.040 324 53
    20%:0.018 510 26
    10%:0.012 537 94
    Table 7. Monte Carlo analysis results of the aperture off-axis three-mirror optical system
    Value/λ
    Monte Carlo90%:0.077 603 30
    80%:0.066 189 41
    50%:0.037 371 87
    20%:0.016 235 19
    10%:0.012 912 49
    Table 8. Monte Carlo analysis results of the field of view off-axis three-mirror optical system
    Junhua YAN, Zijia HU, Deyan ZHU, Yang CHEN, Yin ZHANG, Liqian YU. Design of Compact Off-axis Three-mirror Afocal System Based on Freeform Surface[J]. Acta Photonica Sinica, 2022, 51(5): 0511002
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