Acta Optica Sinica, Volume. 45, Issue 7, 0712005(2025)

Phase Noise Suppression Method in White Light Interferometry Measurement System

Lei Nie1, Yijun Xie1, Yixin Xu1, Xuanze Wang1, Hang Zhao2, Zhengqiong Dong1, and Jinlong Zhu2、*
Author Affiliations
  • 1Key Laboratory of Modern Manufacture Quality Engineering, Hubei University of Technology, Wuhan 430068, Hubei, China
  • 2State Key Laboratory of Intelligent Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China
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    Figures & Tables(12)
    Principle of the proposed method. (a) Flowchart of the phase noise suppression method based on multi-period moving difference; (b) basic principle of moving sine fitting; (c) example of envelope and carrier phase calculation based on FFT
    Basic principle of Mirau type white light interference. (a) Mirau type white light interferometric optical path; (b) Mirau objective structure; (c) experimental equipment
    Measured data of Mirau-type white light interferometry. (a) Intensity and wrap phase distribution of the measured white light interferometer single-point signal; (b) carrier phase deviation before and after denoising of measured signals
    Denoising effect of the proposed method on the original measurement signal. (a) Intensity of the denoised signal; (b) distribution of phase noise before and after denoising
    Measurements results of step sample topography and profile outline. (a)(b) Proposed; (c)(d) FDA method; (e)(f) FFT-WLPSI
    Denoising effect of the proposed method on the measured etch slot signal. (a) Intensity of denoised signal; (b) distribution of phase increment before and after denoising
    Measurement results of the topography and profile of the inner etched groove step. (a) Proposed; (b) FDA method; (c) FFT-WLPSI; (d) profile comparison along Y=1000
    Topography and profile extraction results of the microlens array. (a) Proposed; (b) FFT-WLPSI method; (c) FDA method; (d) One-dimensional profiles obtained by three methods along X=521 pixel
    • Table 1. Residual scanning errors obtained by four preprocessing methods under different noise levels

      View table

      Table 1. Residual scanning errors obtained by four preprocessing methods under different noise levels

      Error levelProposedS-G filterCWTCEEMDAN
      5 nm0.30994.02393.18443.6351
      20 nm3.253017.640417.357718.3361
      35 nm6.651029.717832.651830.1260
      50 nm15.417247.731948.413548.4162
    • Table 2. Comparison results of accuracy of different methods for measuring step height

      View table

      Table 2. Comparison results of accuracy of different methods for measuring step height

      Method

      Step

      height /μm

      Standard deviation /μmRelative error /%
      Proposed11.9630.00640.058
      FDA12.0960.00291.053
      FFT-WLPSI11.9360.01340.284
    • Table 3. Comparison results of accuracy of different methods for measuring etching depth of inner etching groove

      View table

      Table 3. Comparison results of accuracy of different methods for measuring etching depth of inner etching groove

      MethodEtching depth /nmStandard deviation /nmRelative error /%
      Proposed212.1450.2520.674
      FDA144.8273.06631.272
      FFT-WLPSI220.7403.6844.753
    • Table 4. Comparison results of accuracy of different methods for measuring curvature radius of microlens array

      View table

      Table 4. Comparison results of accuracy of different methods for measuring curvature radius of microlens array

      MethodCurvature radius /mmStandard deviation /mmRelative error /%
      Proposed1.0820.0170.558
      FDA1.5540.06944.424
      FFT-WLPSI1.0330.0803.996
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    Lei Nie, Yijun Xie, Yixin Xu, Xuanze Wang, Hang Zhao, Zhengqiong Dong, Jinlong Zhu. Phase Noise Suppression Method in White Light Interferometry Measurement System[J]. Acta Optica Sinica, 2025, 45(7): 0712005

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Dec. 27, 2024

    Accepted: Feb. 25, 2025

    Published Online: Apr. 15, 2025

    The Author Email: Jinlong Zhu (jinlongzhu03@hust.edu.cn)

    DOI:10.3788/AOS241953

    CSTR:32393.14.AOS241953

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