Laser & Optoelectronics Progress, Volume. 57, Issue 15, 152401(2020)

Study on Measurement of Optical Parameters of Anisotropic Crystal by Single Wavelength Ellipsometry

Juan Wang, Lina Ji, Yun Bai, and Zuohua Huang*
Author Affiliations
  • School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, Guangdong 510006, China
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    Figures & Tables(14)
    Polarized light reflection on the crystal surface
    Flow chart of improved simulated annealing simplex joint algorithm
    Variation of ellipsometric parameters of quartz crystal with incident angle. (a) Ψ; (b) Δ
    Variation of ellipsometric parameters of calcite crystal with incident angle. (a) Ψ; (b) Δ
    Variation of ellipsometric parameters of quartz crystal with optical axis azimuth angle. (a) Ψ; (b) Δ
    Variation of ellipsometric parameters of calcite crystal with optical axis azimuth angle. (a) Ψ; (b) Δ
    Relationship between standard deviation of crystal optical parameters and rotation angle. (a) quartz crystal; (b) calcite crystal
    Relation between the angular position error and the optical axis azimuth angle of crystal. (a) quartz crystal; (b) calcite crystal
    • Table 1. Inversion data of quartz crystal

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      Table 1. Inversion data of quartz crystal

      Optical parameternokonekeϕ
      No noise1.5427±00±01.5517±00±059.998±0
      Add 0.02° noise1.5414±0.0010.00009±0.00011.5511±0.00070.00004±0.000662.100±3.2
    • Table 2. Inversion data of calcite crystal

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      Table 2. Inversion data of calcite crystal

      Optical parameternokonekeϕ
      No noise1.6605±00.02±01.4874±00.02±060.001±0
      Add 0.02° noise1.6606±0.0020.02±0.00031.4874±0.00050.02±0.0000760.040±0.2
    • Table 3. Repeated measurement results of ellipsometric parameters of crystalunit: (°)

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      Table 3. Repeated measurement results of ellipsometric parameters of crystalunit: (°)

      EllipsometricparameterInitial angleRotate 30°Rotate 60°
      Ψ1Δ1Ψ2Δ2Ψ3Δ3
      Quartz crystal19.226±0.006358.132±0.02019.443±0.003358.041±0.00319.375±0.008358.0433±0.02
      Calcite crystal18.851±0.003359.669±0.00216.830±0.0070.492±0.00118.478±0.004359.925±0.008
    • Table 4. Inversion results of crystal optical parameters

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      Table 4. Inversion results of crystal optical parameters

      Optical parameternokonekeϕ /(°)
      Quartz crystal1.5524±0.00010.027±0.00005001.5664±0.00020.026±0.000400174.93±0.40
      Calcite crystal1.6518±0.00020.0009±0.0000011.4857±0.00030.007±0.000009180.45±0.02
    • Table 5. Quartz crystal measurement results of multiple experiments

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      Table 5. Quartz crystal measurement results of multiple experiments

      Initial angle /(°)Rotate 30°/(°)Rotate 60°/(°)nokoneneϕ /(°)
      3060901.55210.0271.56350.025143.61
      901201501.55220.0271.56110.025206.43
      1201501801.55200.0271.56110.026240.30
      1802102401.55210.0251.56170.026289.30
      2402703001.55520.0251.56260.025358.93
      3003303601.55830.0251.56480.02657.23
      Average value1.55350.0261.56290.025
      Standard deviation0.0030.0020.0020.0005
    • Table 6. Calcite crystal measurement results of multiple experiments

      View table

      Table 6. Calcite crystal measurement results of multiple experiments

      Initial angle /(°)Rotate 30°/(°)Rotate 60°/(°)nokonekeϕ /(°)
      3060901.65340.000801.48780.0068151.25
      901201501.65250.002001.48510.0160210.15
      1201501801.65630.005001.48810.0085241.03
      1802102401.65000.000001.48580.0058301.61
      2102402701.65510.000731.48850.0059330.87
      2402703001.65540.000401.48920.0033360.65
      Average value1.65380.00151.48740.0077
      Standard deviation0.0020.0020.0020.004
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    Juan Wang, Lina Ji, Yun Bai, Zuohua Huang. Study on Measurement of Optical Parameters of Anisotropic Crystal by Single Wavelength Ellipsometry[J]. Laser & Optoelectronics Progress, 2020, 57(15): 152401

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    Paper Information

    Category: Optics at Surfaces

    Received: Oct. 23, 2019

    Accepted: Nov. 26, 2019

    Published Online: Aug. 4, 2020

    The Author Email: Zuohua Huang (zuohuah@scnu.edu.cn)

    DOI:10.3788/LOP57.152401

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