Optics and Precision Engineering, Volume. 33, Issue 9, 1341(2025)

Low signal-to-noise ratio spectral interferometry film thickness measurement based on self-attention neural network

Chen WANG, Zizheng WANG, Zhaoran LIU, Chengyuan YAO, and Chunguang HU*
Author Affiliations
  • State Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin300072, China
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    Figures & Tables(15)
    Schematic diagram of silicon wafer sample consisting of air layer, film layer, and air layer
    Flowchart for self-attention neural network processing spectral data
    Configuration of spectral interferometry film thickness measurement system
    Reflection spectrum of wafer and its Discrete Fourier Transform(DFT)
    Thickness distribution and RMSE curve of wafer sample
    Measurement fitting results and deviations of samples using SANN and DFT methods
    Thickness measurement results of wafer with surface defects
    Analysis of normal sample by Fourier transform and self-attention neural network
    Reflectance spectra of outlier samples
    DFT curves of outlier samples
    Visualization of weight matrix calculated by multi-head self-attention mechanism on input spectrum in self-attention neural network
    Weight analysis of outlier samples by self-attention neural network
    Average attention weight curves of self-attention neural network for samples
    • Table 1. Thickness information of wafer samples

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      Table 1. Thickness information of wafer samples

      Sample numberNominal thicknessDFT measured thicknessReference thicknessDFT measured deviation
      No.153.102.1060.994
      No.287.197.2160.026
      No.31513.8913.6900.200
    • Table 2. Test results of self-attention neural network

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      Table 2. Test results of self-attention neural network

      Node

      layer

      δd(128)δd(256)
      No.1No.2No.3No.1No.2No.3
      60.8060.0820.2330.8080.1240.178
      80.5790.0140.1020.8570.0480.084
      100.8440.1000.0860.8620.0600.108
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    Chen WANG, Zizheng WANG, Zhaoran LIU, Chengyuan YAO, Chunguang HU. Low signal-to-noise ratio spectral interferometry film thickness measurement based on self-attention neural network[J]. Optics and Precision Engineering, 2025, 33(9): 1341

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    Paper Information

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    Received: Mar. 3, 2025

    Accepted: --

    Published Online: Jul. 22, 2025

    The Author Email:

    DOI:10.37188/OPE.20253309.1341

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