Acta Photonica Sinica, Volume. 52, Issue 2, 0212003(2023)

Two Step Phase-shifting Interferometry by Least Squares Iterative Optimization

Chang LIU1, Hubing DU1、*, Leijie FENG1, Xingxu YAN1, and Gaopeng ZHANG2、**
Author Affiliations
  • 1School of Mechatronic Engineering,Xi'an Technological University,Xi'an 710021,China
  • 2Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Sciences,Xi'an 710119,China
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    Figures & Tables(11)
    Flow chart of the proposed method
    Simulated two-frame phase-shifted interferograms and the reference phase
    Simulation for the phase reconstruction
    Evolution of the error of three methods
    The experimental interferograms and reference phase
    Experiment for the phase reconstruction using open interferogram
    Experiment for the phase reconstruction using closed interferogram
    Experiment for the phase reconstruction using the complex interferogram
    • Table 1. The RMS error of phase(dB)

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      Table 1. The RMS error of phase(dB)

      The proposed methodThe PCA&LSI methodThe CV method
      0.0730.1000.24
      0.0550.0890.17
      0.0590.0910.19
    • Table 2. The RMS error(dB)

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      Table 2. The RMS error(dB)

      SNR/dBThe proposed methodThe PCA&LSI methodThe CV method
      350.0570.0900.19
      500.0170.0710.17
      700.0140.0710.18
    • Table 3. Processing time(s)

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      Table 3. Processing time(s)

      The proposed methodThe PCA&LSI methodThe CV method
      Open fringe pattern0.0350.213.10
      Closed fringe pattern0.1400.606.96
      Complex fringe pattern0.0690.342.15
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    Chang LIU, Hubing DU, Leijie FENG, Xingxu YAN, Gaopeng ZHANG. Two Step Phase-shifting Interferometry by Least Squares Iterative Optimization[J]. Acta Photonica Sinica, 2023, 52(2): 0212003

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Sep. 8, 2022

    Accepted: Oct. 10, 2022

    Published Online: Mar. 28, 2023

    The Author Email: Hubing DU (duhubing@xatu.edu.cn), Gaopeng ZHANG (zhanggaopeng@opt.ac.cn)

    DOI:10.3788/gzxb20235202.0212003

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