Acta Optica Sinica, Volume. 42, Issue 17, 1723002(2022)

Variable Curvature Mirror with Variable Thickness and Its Application in Space-Borne Optical Camera

Hui Zhao1、*, Xiaopeng Xie1, Limin Gao2, Xuewu Fan1, Liang Xu3, Zhen Ma3, and Yongle Pei4
Author Affiliations
  • 1Space Optical Technology Research Department, Xi′an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi′an710119, Shaanxi, China
  • 2Chief Engineer Office, Xi′an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi′an710119, Shaanxi, China
  • 3Advanced Optics Manufacturing Center, Xi′an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi′an710119, Shaanxi, China
  • 4Laboratory of Aeronautical Optoelectronic Technology, Xi′an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi′an710119, Shaanxi, China
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    Figures & Tables(19)
    Annular force variable curvature mirror developed by our group and deflection testing results[25]
    Strain comparison of finite element analysis after deflection. (a) Strain of annular force variable curvature mirror; (b) strain of variable curvature mirror with variable thickness under uniform force driving
    Experimental systems of variable curvature mirror with variable thickness under uniform pressure. (a) Model and prototype of variable curvature mirror with variable thickness; (b) actuation system of variable curvature mirror
    Surface accuracy of variable curvature mirror with 100 mm diameter under 0.07 MPa
    Optical design of 5× zoom opical system and corresponding parameters
    Central deflection curves of 1st and 4th mirrors. (a) 1st mirror; (b) 4th mirror
    Comparison of thickness distributions before and after optimization
    Structure parameters of optimized variable curvature mirror
    Design of one space optical system
    Changes of MTF under focusing and 4 mm defocusing. (a) Focusing; (b) 4 mm defocusing
    Correspondence between deflection of focusing vector height of secondary mirror and defocus amount. (a) Correspondence between needed deflection of focusing vector height of secondary mirror at focusing position and defocus amount; (b) correspondence between needed deflection of focusing vector height of two adjacent positions and defocus amount
    Comparison between MTF corresponding to ideal in-focus and MTF for 4 mm defocusbeing compensated through variable curvature secondary mirror。(a) MTF of ideal in-focus; (b) MTF after focusing compensation
    Process of variable curvature mirror scanning MTF of equivalent encoding imaging
    MTF of equivalent encoding imaging under defocus of 0-30. (a) MTF of large focal depth space camera system; (b) equivalent OTF for different focal depth extended range
    Equivalent PSF of secondary mirror modulation coding and PSF of cubic phase coding. (a) Equivalent PSF of secondary mirror modulation coding; (b) PSF of cubic phase coding
    Comparison of equivalent MTF between large depth-of-focus system and classical cubic phase encoding
    • Table 1. Central deformation of mirror and surface accuracy vary with change of pressure

      View table

      Table 1. Central deformation of mirror and surface accuracy vary with change of pressure

      Pressure /MPaDeflection /μmRMS of 100 mm diameter /λRMS of 100 mm diameter without spherical aberration /λ
      0.02011.140.0200.011
      0.03619.850.0320.012
      0.05328.440.0460.015
      0.07036.890.0580.017
    • Table 2. Parameters of 5× zoom opical system

      View table

      Table 2. Parameters of 5× zoom opical system

      Focal length /mmField of view /[(°)×(°)]Pupil diameter /mmF number
      2282.83×2.832011.4
      4561.42×1.424011.4
      6840.95×0.956011.4
      9120.71×0.718011.4
      11400.57×0.5710011.4
    • Table 3. Mapping between curvature change of secondary mirror and allowable compensation defocus

      View table

      Table 3. Mapping between curvature change of secondary mirror and allowable compensation defocus

      Defocus /mmOriginal curvature radius /mm

      Changed curvature

      radius /mm

      Central deflection equal to focus position /μmCentral deflection between two near focus positions /nm
      0.1-309-309.00355000.0983.39
      0.2-309-309.00682660.1884.07
      0.3-309-309.01010460.2684.10
      0.4-309-309.01338380.3484.14
      0.5-309-309.01666430.4384.17
      0.6-309-309.01994620.5184.20
      0.7-309-309.02322930.6084.23
      0.8-309-309.02651370.6884.26
      0.9-309-309.02979950.7684.30
      1.0-309-309.03308650.8584.33
      1.1-309-309.03637490.9384.36
      1.2-309-309.03966461.0284.39
      1.3-309-309.04295551.1084.42
      1.4-309-309.04624781.1984.45
      1.5-309-309.04954141.2784.49
      1.6-309-309.05283631.3684.52
      1.7-309-309.05613251.4484.55
      1.8-309-309.05943001.5284.58
      1.9-309-309.06272881.6184.61
      2.0-309-309.06602901.6984.65
      2.1-309-309.06933041.7884.68
      2.2-309-309.07263321.8684.71
      2.3-309-309.07593731.9584.74
      2.4-309-309.07924272.0384.77
      2.5-309-309.08254942.1284.80
      2.6-309-309.08585742.2084.84
      2.7-309-309.08916682.2984.87
      2.8-309-309.09247742.3784.90
      2.9-309-309.09578942.4684.93
      3.0-309-309.09910272.5484.96
      3.1-309-309.10241742.6385.00
      3.2-309-309.10573332.7185.03
      3.3-309-309.10905062.8085.06
      3.4-309-309.11236922.8885.09
      3.5-309-309.11568912.9785.12
      3.6-309-309.11901033.0585.16
      3.7-309-309.12233293.1485.19
      3.8-309-309.12565683.2285.22
      3.9-309-309.12898203.3185.25
      4.0-309-309.13230863.3985.29
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    Hui Zhao, Xiaopeng Xie, Limin Gao, Xuewu Fan, Liang Xu, Zhen Ma, Yongle Pei. Variable Curvature Mirror with Variable Thickness and Its Application in Space-Borne Optical Camera[J]. Acta Optica Sinica, 2022, 42(17): 1723002

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    Paper Information

    Category: Optical Devices

    Received: May. 30, 2022

    Accepted: Jul. 22, 2022

    Published Online: Sep. 16, 2022

    The Author Email: Zhao Hui (zhaohui@opt.ac.cn)

    DOI:10.3788/AOS202242.1723002

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