Acta Optica Sinica, Volume. 42, Issue 19, 1912002(2022)

Relative Translation Calibration of Multi-Frame Images in Iterative Reconstruction Method for Optical Transfer Function Measurement

Dong Pu1,2,3, Cheng Liu1,2, Hua Tao1,2, Yaping Ge1,2, and Jianqiang Zhu1,2、*
Author Affiliations
  • 1Joint Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Joint Laboratory on High Power Laser and Physics, China Academy of Engineering Physics, Chinese Academy of Sciences, Shanghai 201800, China
  • 3Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Science, Beijing 100049, China
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    Figures & Tables(9)
    Iterative reconstruction method for measurement of OTF based on multi-frame images. (a) Experiment setup; (b) process schematic
    Schematic diagram for relative translations of points 1-3 to ideal point 0. (a) Uncorrected condition; (b) corrected condition
    Phase with 1.234 pixel translation in both x and y directions within cutoff frequency. (a) Ideal result; (b) PTF result after iterating once
    Simulated phase diagrams after introducing coma aberration. (a) PTF caused by coma aberration; (b) phase of random translation in image 1; (c) PTF result of image 1 after iterating once; (d) phase of random translation in image 2; (e) PTF result of image 2 after iterating once
    Comparison between theoretical phase difference and calculated phase difference. (a) PTF result of image 1 after iterating once; (b) PTF result of image 2 after iterating once; (c) ideal translation phase difference between image 1 and image 2; (d) calculated translation phase difference between image 1 and image 2
    Object pattern and captured image. (a) One of object patterns; (b) complete image corresponding to Fig. 6(a); (c) partial picture of object pattern; (d) partial picture corresponding to Fig. 6 (c)
    OTF measurement results by calculation. (a) Two-dimensional MTF; (b) two-dimensional PTF;(c) corrected MTF
    • Table 1. Mean square error between calculated PTF and ideal phase under diffraction limit

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      Table 1. Mean square error between calculated PTF and ideal phase under diffraction limit

      Relative translation /pixelMSE /10-4
      First simulationSecond simulationThird simulation
      0.0010.71720.43170.6842
      0.0100.71720.43170.6842
      0.1000.71720.43170.6842
      0.5000.71720.43170.6842
      1.2340.71720.43170.6842
    • Table 2. Effects of correction and non-correction of relative translation on number of iterations and mean square error under different translations

      View table

      Table 2. Effects of correction and non-correction of relative translation on number of iterations and mean square error under different translations

      Relative translation

      /pixel

      With correctionWithout correction
      Number of iterationsMSE /10-7Number of iterationsMSE /10-7
      0.70±0.5070.6892391.042
      0.70±1.0080.87173929.97
      1.00±0.5080.8160431.715
      1.00±1.0070.90294231.02
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    Dong Pu, Cheng Liu, Hua Tao, Yaping Ge, Jianqiang Zhu. Relative Translation Calibration of Multi-Frame Images in Iterative Reconstruction Method for Optical Transfer Function Measurement[J]. Acta Optica Sinica, 2022, 42(19): 1912002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Mar. 1, 2022

    Accepted: Apr. 10, 2022

    Published Online: Oct. 18, 2022

    The Author Email: Zhu Jianqiang (jqzhu@siom.ac.cn)

    DOI:10.3788/AOS202242.1912002

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