Acta Optica Sinica, Volume. 44, Issue 12, 1222001(2024)

Compact Coaxial Four-Mirror Optical System Based on Multi-Surface Integration

Tianyu Guo1, Lei Yang1、*, Yi Wang1, Wenping Zhang2,3, Shiliang Guo1,2, and Hongbo Xie1
Author Affiliations
  • 1Key Laboratory of Optoelectronics Information Technology, Ministry of Education, School of Precision Instrument and Opto-Electronics Engineering, Tianjin University, Tianjin 300072, China
  • 2Tianjin University-Cspace Aerospace Optoelectronic System Engineering Joint Laboratory, Tianjin 300072, China
  • 3Cspace (Shaoxing) Intelligent Technology Co. Ltd., Shaoxing 311899, Zhejiang, China
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    Figures & Tables(23)
    Layout of coaxial four-mirror optical system
    Layout of optical aperture
    Structural diagram of optical system
    Monolithic structure diagram of primary mirror and tertiary mirror
    Spot diagrams of optical system with different fields. (a) 0° field; (b) 1° field; (c) -1° field; (d) 1.5° field; (e) -1.5° field
    MTF of optical system
    Wavefront aberration RMS of optical system
    Field curvature and distortion of optical system. (a) Field curvature; (b) distortion
    Optical and mechanical structures of coaxial four-mirror optical system based on multi-surface integration. (a) Side view;(b) section side view
    MTF at different temperatures. (a) -30 ℃; (b) -5 ℃; (c) 20 ℃; (d) 45 ℃; (e) 70 ℃
    Layout of detector position
    Incoherent irradiance at different positions. (a) Detector 1; (b) detector 2; (c) image detector
    Ray path of 0° field
    Ray paths of 1.5° field. (a) Ray path; (b) stray light 1; (c) stray light 2
    Typical stray light paths of 1.5°-10° field. (a) Two reflections; (b) irregular reflection; (c) mechanical reflection
    Typical stray light paths of 10°-50° field. (a) Mechanical reflection; (b) irregular reflection; (c) direct radiation
    Suppression of stray light. (a) Superimposed optical path of 0° and 5° field; (b) irradiance of 0° field; (c) superimposed irradiance of 0° and 5° field
    • Table 1. Initial structural parameters

      View table

      Table 1. Initial structural parameters

      MirrorRadius /mmDiameter /mmThickness /mmConic coefficient
      Primary mirror-881.1944260.00-150.00-0.740057
      Secondary mirror-990.5230180.00160.000.987339
      Tertiary mirror-1775.9242155.12-150.0045.802906
      Fourth mirror-1441.366999.42252.48222.052217
    • Table 2. Optimized optical system parameters

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      Table 2. Optimized optical system parameters

      MirrorRadius /mmDiameter /mmThickness /mmConic
      Primary mirror-916.7982200.00-150.00-0.633292
      Secondary mirror-918.7441143.16150.00-2.461935
      Tertiary mirror-916.7982133.38-150.00-0.633292
      Fourth mirror-918.744177.28201.09-2.461935
    • Table 3. High order coefficients of even asphere for each reflector

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      Table 3. High order coefficients of even asphere for each reflector

      Mirror2nd order term4th order term6th order term8th order term
      Primary mirror02.255×10-10-6.151×10-16-1.071×10-20
      Secondary mirror0-5.939×10-10-2.189×10-14-4.536×10-19
      Tertiary mirror0-3.751×10-9-1.063×10-14-5.073×10-19
      Fourth mirror0-1.619×10-8-1.778×10-13-3.384×10-17
    • Table 4. Distribution of system tolerance

      View table

      Table 4. Distribution of system tolerance

      MirrorManufacturing errorAssembly error
      Radius /fringeConic coefficientSurface RMSThickness /mmDecenter /mmTilt angle /(°)
      Primary mirror10.003λ/600.0050.0050.01
      Secondary mirror10.003λ/600.0050.0050.01
      Tertiary mirror10.003λ/600.0050.0050.01
      Fourth mirror10.003λ/600.0050.0050.01
    • Table 5. Results of Monte Carlo tolerance analysis

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      Table 5. Results of Monte Carlo tolerance analysis

      Sample probability /%MTF
      980.19556502
      900.20388167
      800.20808830
      500.21476040
      200.21953732
      100.22159685
      20.22389590
    • Table 6. Properties of aviation aluminum alloy

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      Table 6. Properties of aviation aluminum alloy

      Parameter of aviation aluminum alloy

      Density

      ρ /(10-6 kg/mm3)

      Elastic modulus

      E /GPa

      Poisson's ratio

      μ

      Thermal expansion coefficient α /(10-6 -1)
      Value2.768.90.3323
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    Tianyu Guo, Lei Yang, Yi Wang, Wenping Zhang, Shiliang Guo, Hongbo Xie. Compact Coaxial Four-Mirror Optical System Based on Multi-Surface Integration[J]. Acta Optica Sinica, 2024, 44(12): 1222001

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    Paper Information

    Category: Optical Design and Fabrication

    Received: May. 31, 2023

    Accepted: Aug. 17, 2023

    Published Online: Jun. 12, 2024

    The Author Email: Yang Lei (yanglei@tju.edu.cn)

    DOI:10.3788/AOS231078

    CSTR:32393.14.AOS231078

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