Acta Optica Sinica, Volume. 39, Issue 11, 1105002(2019)

Wavefront Reconstruction Error Analysis Method for Diffraction Optical System

Kai Qiao1, Xiyang Zhi2、*, Dong Yang3, Di Yu2, and Dawei Wang2
Author Affiliations
  • 1Beijing Institute of Tracking and Telecommunications Technology, Beijing 100094, China
  • 2Research Center for Space Optical Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China
  • 3Beijing Institute of Spacecraft System Engineering, Beijing 100094, China
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    Figures & Tables(12)
    Flow chart of phase diversity wavefront reconstruction
    Classification of influencing factors of phase diversity wavefront reconstruction error
    Diagram of focal plane position error
    Analysis model of influence of focal plane position error on wavefront reconstruction error
    Diagram of defocus distance error
    Analysis model of influence of defocus distance error on wavefront reconstruction error
    Analysis model of influence of diffraction efficiency error on wavefront reconstruction error
    Experimental verification scheme
    Analysis result of single error factor. (a) Focal plane position error; (b) defocus distance error; (c) diffraction efficiency error
    • Table 1. Design parameters of diffractive optical system

      View table

      Table 1. Design parameters of diffractive optical system

      Optical system parameterValue
      Focus length f /mm10
      F#5
      Wavelength λ /nm500
      Diffraction efficiency η0.60
      CCD pixel size /μm3
      Field of view /(°)0.10
      Gaussian noise0.002
      Aberration0.3017λ
    • Table 2. Values of error factors and wavefront RMSE

      View table

      Table 2. Values of error factors and wavefront RMSE

      Error typeError valueCorresponding wavefront RMSE
      Focus plane position error0.5λ0.0511λ
      Defocus distance error0.5λ0.0887λ
      Diffraction efficiency error10%0.0972λ
    • Table 3. Simulation and synthesis results under various error combination conditions

      View table

      Table 3. Simulation and synthesis results under various error combination conditions

      Focus plane position error /nmDefocus distance error /nmDiffraction efficiency error /%Model analysis results /λActual wavefront reconstruction error /λRelative deviation /%
      -300-30050.17780.154015.4
      -300-300100.19890.246819.4
      -300-15050.07960.071411.5
      -300-150100.11960.103615.5
      -30010050.05980.054210.2
      -300100100.10750.125314.2
      -30020050.08590.076112.8
      -300200100.12390.148916.8
      -200-30050.17650.154514.2
      -200-300100.19780.167318.2
      -200-15050.07660.085410.3
      -200-150100.11770.103014.3
      -20010050.05580.06149.0
      -200100100.10540.093213.0
      -20020050.08320.074511.6
      -200200100.12210.144615.6
      100-30050.17630.202613.0
      100-300100.19760.168917.0
      100-15050.07620.06989.1
      100-150100.11740.135113.1
      10010050.05520.05127.8
      100100100.10500.119111.8
      10020050.08270.074910.4
      100200100.12180.142214.4
      200-30050.17930.157014.2
      200-300100.20030.244918.2
      200-15050.08300.092510.3
      200-150100.12200.106714.3
      20010050.06430.05909.0
      200100100.11010.126513.0
      20020050.08910.100811.6
      200200100.12620.149515.6
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    Kai Qiao, Xiyang Zhi, Dong Yang, Di Yu, Dawei Wang. Wavefront Reconstruction Error Analysis Method for Diffraction Optical System[J]. Acta Optica Sinica, 2019, 39(11): 1105002

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    Paper Information

    Category: Diffraction and Gratings

    Received: Jun. 13, 2019

    Accepted: Jul. 24, 2019

    Published Online: Nov. 6, 2019

    The Author Email: Zhi Xiyang (zhixiyang@hit.edu.cn)

    DOI:10.3788/AOS201939.1105002

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