Acta Photonica Sinica, Volume. 50, Issue 11, 1112001(2021)

Fiber-coupled Chromatic Confocal 3D Measurement System and Comparative Study of Spectral Data Processing Algorithms

Jiayi WANG1, Tao LIU1、*, Xiaofeng TANG1, Jiaqi HU1, Xing WANG2, Guoqing LI1, Tao HE1, and Shuming YANG1
Author Affiliations
  • 1State Key Laboratory for Manufacturing Systems Engineering,Xi'an Jiaotong University,Xi’an 710049,China
  • 2Key Laboratory of Ultra⁃fast Photoelectric Diagnostics Technology,Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Sciences,Xi'an 710119,China
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    Figures & Tables(25)
    Schematic of chromatic confocal measurement principle
    Diagram of chromatic lens group
    Dispersion focal shift curve
    Chromatic confocal 3D measurement system
    Graphical user interface of the measurement software
    Optical path of chromatic confocal axial calibration experiment
    Comparison of four peak wavelength extraction algorithms
    6-order polynomial fitting result of calibration curve
    Linear measurement interval of calibration curve
    Cubic spline interpolation of calibration curve
    Spectral data and peak extraction results of different algorithms
    Relative deviation of each position under different peak wavelength extraction algorithms(2 μm step)
    Axial resolution test results by fitting calibration method
    Axial resolution test results by interpolation calibration method
    Measurement result of a feeler step
    3D profile measurement of flexible electrode
    3D profile measurement of MEMS sample
    Thickness compensation model[25]
    Relationship between angle and wavelength
    • Table 1. Main component parameters

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      Table 1. Main component parameters

      ComponentParameter
      Light sourceWave band:400~800 nm
      Fiber couplerDiameter:50 μm multimode fiber,NA=0.22,50∶50 split ratio,Wave band:400~900 nm
      SpectrometerResolution:0.7 nm,Wave band:200~1 100 nm
    • Table 2. Parameters of chromatic lens group

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      Table 2. Parameters of chromatic lens group

      Lens surfaceSurface typeCurvature radius/mmThickness/mmOptical glassSemiaperture/mm
      OBJStandard surface44.120-0.000
      1Even-order aspheric surface63.0000.0601.52,52.012.500
      2Standard surface66.0002.500S⁃TIH1312.500
      3Standard surface31.0009.000S⁃FSL512.500
      4Standard surface-28.50040.000-12.500
      5Even-order aspheric surface20.1309.857N-SF612.500
      6Standard surface18.979-12.500
      IMAStandard surface--0.569
    • Table 3. Goodness of polynomial fitting with different orders

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      Table 3. Goodness of polynomial fitting with different orders

      Polynomial order12345678
      R⁃square0.977 80.999 5111111
      RMSE47.957.462.1071.6821.3660.8760.6730.672
    • Table 4. Displacement measurement results by fitting calibration method

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      Table 4. Displacement measurement results by fitting calibration method

      Position1234567891011
      Test data /μm0100.027 8200.037 3300.171 6400.267 4499.745 4601.105 2700.098 5799.445 0900.584 51001.144 0
      True data /μm0100.25200.39300.76400.63500.21600.88700.17800.71900.711 000.22
      Deviation /μm0-0.222 2-0.352 7-0.588 5-0.362 6-0.464 60.225 2-0.071 5-1.265 0-0.125 50.005 2
      Relative deviation/%00.395 40.334 70.087 20.012 70.027 90.044 50.046 60.059 40.077 00.924 1
    • Table 5. Displacement measurement results by interpolation calibration method

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      Table 5. Displacement measurement results by interpolation calibration method

      Position1234567891011
      Test data /μm099.608 3200.291 0300.385 4400.284 5500.140 3600.295 6700.400 0800.758 0900.666 5999.619 2
      True data /μm0100.25200.39300.76400.63500.21600.88700.17800.71900.711 000.22
      Deviation /μm0-0.641 7-0.099 0-0.374 6-0.345 6-0.069 8-0.584 50.230 00.048 0-0.043 5-0.600 8

      Relative

      deviation/%

      00.640 10.049 40.124 60.086 30.013 90.097 30.032 90.006 00.004 80.060 1
    • Table 6. Measurement result of quartz glass thickness

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      Table 6. Measurement result of quartz glass thickness

      No.12345678910Average
      h/mm0.1450.1440.1480.1440.1440.1440.1460.1480.1460.1430.145
      H/mm0.2170.2160.2220.2160.2160.2160.2190.2220.2190.2150.218
      Deviation/%0.911.371.371.371.371.3701.3701.830.5
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    Jiayi WANG, Tao LIU, Xiaofeng TANG, Jiaqi HU, Xing WANG, Guoqing LI, Tao HE, Shuming YANG. Fiber-coupled Chromatic Confocal 3D Measurement System and Comparative Study of Spectral Data Processing Algorithms[J]. Acta Photonica Sinica, 2021, 50(11): 1112001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: May. 11, 2021

    Accepted: Aug. 16, 2021

    Published Online: Dec. 2, 2021

    The Author Email: LIU Tao (liu8483@xjtu.edu.cn)

    DOI:10.3788/gzxb20215011.1112001

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