• Laser & Optoelectronics Progress
  • Vol. 57, Issue 15, 152401 (2020)
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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    DOI: 10.3788/LOP57.152401 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Polarized light reflection on the crystal surface
    Fig. 1. Polarized light reflection on the crystal surface
    Flow chart of improved simulated annealing simplex joint algorithm
    Fig. 2. Flow chart of improved simulated annealing simplex joint algorithm
    Variation of ellipsometric parameters of quartz crystal with incident angle. (a) Ψ; (b) Δ
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. 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
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. Relation between the angular position error and the optical axis azimuth angle of crystal. (a) quartz crystal; (b) calcite 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 1. Inversion data of quartz 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 2. Inversion data of calcite crystal
    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 3. Repeated measurement results of ellipsometric parameters of crystalunit: (°)
    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 4. Inversion results of crystal optical parameters
    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 5. Quartz 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
    Table 6. Calcite crystal measurement results of multiple experiments
    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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