Chinese Journal of Lasers, Volume. 52, Issue 11, 1104004(2025)

Multi‐Surface Interferometric Measurement and Experimental Verification Using Discontinuous Wavelength Scanning

Hao Qiu1, Bo Dong1,2, Shengli Xie1, and Yulei Bai1,2、*
Author Affiliations
  • 1School of Automation, Guangdong University of Technology, Guangzhou 510006, Guangdong , China
  • 2Key Laboratory of Inteligent Information Processing and System Integration of IoT, Ministry of Education, Guangzhou 510006, Guangdong , China
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    Figures & Tables(14)
    Schematic diagram of interferometry principle
    Schematic diagram of non-continuous wavenumber sweeping
    Geometric illustrations of optical path differences. (a) Λ56; (b) Λ57; (c) Λ67
    Simulated wavenumber sequence and interference patterns. (a) Discontinuous scanning wavenumber sequence; (b) interference pattern; (c) longitudinal section of interference pattern taken at xp=500 pixel
    Spectral cross-section evaluation of interference pattern at yp=500 pixel and interference point signal at (500 pixel, 600 pixel). (a) Interference signal demodulated using Fourier transform with wavenumber bandwidth Δk1; (b) interference signal demodulated using Fourier transform with wavenumber bandwidth Δk1+Δk2; (c) interference signal demodulated using least squares spectrum with wavenumber bandwidth Δk1+Δk2
    Interference phase wrapping and unwrapping diagrams when OPDs are Λ56 and Λ57. (a)(e)(i)(m) Ideal phase diagrams; (b)(f)(j)(n) interference phases derived from interference signal with wavenumber bandwidth Δk1 using Fourier transform demodulation; (c)(g)(k)(o) interference phases derived from interference signal with wavenumber bandwidth Δk1+Δk2 using Fourier transform demodulation; (d)(h)(l)(p) interference phases derived from interference signal with wavenumber bandwidth Δk1+Δk2 using least squares spectrum demodulation
    Multi-surface scanning interferometry hardware system. (a) Optical path diagram; (b) experimental setup diagram
    Experimental interference patterns. (a) Interference pattern; (b) longitudinal section of interference pattern taken at x=1.91 mm
    Spectral cross-section evaluation diagram of interference pattern at y=1.91 mm and interference point signal at (1.50 mm, 1.91 mm). (a) Experimental interference patterns with frame numbers of 1‒90 demodulated by Fourier transform; (b) experimental interference patterns with frame numbers of 1‒400 demodulated by Fourier transform; (c) experimental interference patterns with frame numbers of 1‒400 demodulated by least squares spectrum
    Interference phase wrapping and unwrapping diagrams of front and rear surfaces of optical wedge. (a)(e)(g)(j) Interference patterns with frame numbers of 1‒90 demodulated by Fourier transform; (b)(f)(k)(n) interference patterns with frame numbers of 1‒400 demodulated by Fourier transform; (c)(f)(i)(l) interference patterns with frame numbers of 1‒400 demodulated by least squares spectrum
    Interference phase wrapping and unwrapping diagrams of front and rear surfaces of plano-convex lens. (a)(e)(g)(j) Interference patterns with frame numbers of 1‒90 demodulated by Fourier transform; (b)(f)(k)(n) interference patterns with frame numbers of 1‒400 demodulated by Fourier transform; (c)(f)(i)(l) interference patterns with frame numbers of 1‒400 demodulated by least squares spectrum
    Multi-surface measurement results. (a) Three-dimensional fitting of front and rear surfaces of optical wedge; (b) error distribution map of planar surface of plano-convex lens; (c) three-dimensional fitting of convex surface of plano-convex lens
    • Table 1. Average error and standard error of ideal phase and calculated phase when OPD is Λ56

      View table

      Table 1. Average error and standard error of ideal phase and calculated phase when OPD is Λ56

      Error

      Discontinuous

      FFT

      Discontinuous

      LSS

      Mean error /rad0.5500.014
      Standard error /rad0.5890.017
    • Table 2. Average error and standard error of ideal phase and calculated phase when OPD is Λ57

      View table

      Table 2. Average error and standard error of ideal phase and calculated phase when OPD is Λ57

      Error

      Discontinuous

      FFT

      Discontinuous

      LSS

      Mean error /rad2.3970.029
      Standard error /rad3.0010.036
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    Hao Qiu, Bo Dong, Shengli Xie, Yulei Bai. Multi‐Surface Interferometric Measurement and Experimental Verification Using Discontinuous Wavelength Scanning[J]. Chinese Journal of Lasers, 2025, 52(11): 1104004

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    Paper Information

    Category: Measurement and metrology

    Received: Jan. 9, 2025

    Accepted: Feb. 24, 2025

    Published Online: Jun. 14, 2025

    The Author Email: Yulei Bai (yuleibai@outlook.com)

    DOI:10.3788/CJL250446

    CSTR:32183.14.CJL250446

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