Chinese Journal of Lasers, Volume. 51, Issue 11, 1101031(2024)

High-Precision Phase Extraction and Error Analysis of Ronchi Lateral Shearing Interferometry

Chunchao Chang1,2, Zhongliang Li1,2、*, Yunjun Lu1, and Xiangzhao Wang1,3,4
Author Affiliations
  • 1Laboratory of Information Optics and Opto-Electronic Technology, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3College of Optical Science and Engineering, Zhejiang University, Hangzhou 310027, Zhejiang , China
  • 4State Key Laboratory of Extreme Photonics and Instrumentation, Zhejiang University, Hangzhou 310058, Zhejiang , China
  • show less
    Figures & Tables(17)
    Principle diagram of Ronchi lateral interferometer setup used for wavefront aberration test of projection lens
    Shear ratio model of the Ronchi shearing interferometry system
    Data processing flow based on the high-precision shear phase extraction algorithm
    Interference field obtained by simulation when the phase-shift is 0
    Ideal shear phase
    Shear phase (left) extracted by different phase extraction algorithms and the shear phase extraction error (right). (a)(b) 10-step phase-shift algorithm; (c)(d) 13-step phase-shift algorithm; (e)(f) proposed high-precision phase extraction algorithm
    RMS shear phase extraction relative error due to grating period relative error
    Simulation results of RMS shear phase extraction relative error for different stage positioning errors
    RMS shear phase extraction relative error due to vibration error. (a) Amplitude variation; (b) vibration frequency variation
    Experimental setup of the double-grating Ronchi lateral shearing interferometry
    Based on the 25 phase-shift interferograms clipped in the x-direction collected by the proposed high-precision shear phase extraction algorithm, the phase-shift interferograms labeled with red dots are used in the 13-step phase-shift algorithm
    Results of shear interferometric experimental data processing for the proposed high-precision shear phase extraction algorithm. (a) x-direction; (b) y-direction
    Experimental data processing results of shear interferometry with 13-step phase-shift algorithm. (a) x-direction; (b) y-direction
    Results of wavefront reconstruction on the shear phase extracted data. (a) Wavefront reconstruction results of the proposed high-precision shear phase extraction algorithm; (b) wavefront reconstruction results of the 13-step phase-shift algorithm
    Experimental setup of the point diffraction interferometer
    Measurement result based on point diffraction interferometer
    • Table 1. Examples of phase shifts and phase frames with different shear ratios

      View table

      Table 1. Examples of phase shifts and phase frames with different shear ratios

      Shear ratio sExisting diffraction orders MFrames RφrPhase shifts
      0.25s<0.50, ±140, π/2, π, 3π/2
      1/6s<0.250, ±1, ±37π/40, π/4, π/2, 3π/4, π, 3π/2, 7π/4
      1/(M+3)s<1/(M+1)0, ±1, ±3, …, ±M(3M+5)/2Eq. (8)0, φr, π/2, π-φr, π, 3π/2, 2π-φr
    Tools

    Get Citation

    Copy Citation Text

    Chunchao Chang, Zhongliang Li, Yunjun Lu, Xiangzhao Wang. High-Precision Phase Extraction and Error Analysis of Ronchi Lateral Shearing Interferometry[J]. Chinese Journal of Lasers, 2024, 51(11): 1101031

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: laser devices and laser physics

    Received: Jan. 5, 2024

    Accepted: Feb. 18, 2024

    Published Online: Jun. 11, 2024

    The Author Email: Li Zhongliang (lizhongliang@siom.ac.cn)

    DOI:10.3788/CJL240463

    CSTR:32183.14.CJL240463

    Topics