Acta Optica Sinica, Volume. 42, Issue 20, 2012003(2022)

Topological Optimization Design of Imaging Primary Mirror Based on Root-Mean-Square Error of Surface Figures

Ke Chen* and Rongsheng Qiu
Author Affiliations
  • Shanghai Aerospace Control Technology Institute, Shanghai 201109, China
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    Figures & Tables(13)
    Schematic of implicit deformation of primary mirror
    Finite element model of primary mirror. (a) Half cutaway; (b) mirror 1; (c) mirror 2; (d) isometric
    Optical fabrication conditions of primary mirror
    Response definition
    HML file
    Topologically optimized structure obtained from OptiStruct software when the density threshold is 0.20.(a) Front view;(b) section (no column); (c) section (with column); (d) isometric
    Refactoring model. (a) Front view; (b) section (no column); (c) section (with column); (d) isometric
    Stress distribution of reconstructed model
    • Table 1. Material parameters of imaging primary mirror

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      Table 1. Material parameters of imaging primary mirror

      ParameterMaterialElastic modulus /MPaPoisson's ratioDensity /(g·cm-3
      Value6061 aluminium alloy710000.312.7
    • Table 2. DRESP1 commands

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      Table 2. DRESP1 commands

      No.Command
      1ID number
      2Response name
      3Response ID
      4Direction
      5Node number
    • Table 3. Comparison of the results of different density thresholds

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      Table 3. Comparison of the results of different density thresholds

      Density threshold0.100.150.200.250.300.350.400
      RMS1 /μm0.31530.31910.32390.32790.33140.33670.34070.5754
      RMS2 /μm0.28850.28880.28620.28830.29070.29070.29000.5392
      Mass /g671.62662.84651.95643.74636.52631.63625.471054.6
    • Table 4. Comparison of reconstructed model performance

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      Table 4. Comparison of reconstructed model performance

      ModelSolid modelRefactoring model
      RMS1 /μm0.57540.327
      RMS2 /μm0.53920.291
      Mass /g1054.6648.21
    • Table 5. Comparison of root-mean-square error of mirror surface figures after optical fabrication

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      Table 5. Comparison of root-mean-square error of mirror surface figures after optical fabrication

      Face typeTheoretical faceActual face
      RMS1 /μm72537253.36
      RMS2 /μm85258525.31
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    Ke Chen, Rongsheng Qiu. Topological Optimization Design of Imaging Primary Mirror Based on Root-Mean-Square Error of Surface Figures[J]. Acta Optica Sinica, 2022, 42(20): 2012003

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Feb. 21, 2022

    Accepted: May. 3, 2022

    Published Online: Oct. 18, 2022

    The Author Email: Chen Ke (chen_ke2020@outlook.com)

    DOI:10.3788/AOS202242.2012003

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