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Acta Optica Sinica, Volume. 41, Issue 24, 2412001(2021)

Modified Ellipse Fitting Algorithm and Phase Demodulation of Vibration Sensing

Ze Mei, Haifei Lü, Xiaoyan Wen, and Min Li*
Author Affiliations
  • School of Science, Wuhan University of Technology, Wuhan, Hubei 430070, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (10)
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    References (12)
    Cited By (2)
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    Figures & Tables(10)
    Structure of Michelson interferometer demodulated based on 3×3 coupler

    Fig. 1. Structure of Michelson interferometer demodulated based on 3×3 coupler

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    Demodulation schematic based on 3×3 coupler

    Fig. 2. Demodulation schematic based on 3×3 coupler

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    Simulation results of non-ideal 3×3 coupler. (a) Output signal of three paths; (b) demodulation results

    Fig. 3. Simulation results of non-ideal 3×3 coupler. (a) Output signal of three paths; (b) demodulation results

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    Simulation results of ellipse fitting algorithm. (a) Lissajous figure; (b) demodulation results

    Fig. 4. Simulation results of ellipse fitting algorithm. (a) Lissajous figure; (b) demodulation results

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    Demodulation results of different algorithms. (a) 3×3 coupler demodulation algorithm; (b) ellipse fitting algorithm

    Fig. 5. Demodulation results of different algorithms. (a) 3×3 coupler demodulation algorithm; (b) ellipse fitting algorithm

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    Demodulation results for different PZT strains. (a) 0.24 με; (b) 0.045 με

    Fig. 6. Demodulation results for different PZT strains. (a) 0.24 με; (b) 0.045 με

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    Lissajous figure and fitting ellipse for different strains

    Fig. 7. Lissajous figure and fitting ellipse for different strains

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    Demodulation results of unmodified and modified ellipse fitting algorithm

    Fig. 8. Demodulation results of unmodified and modified ellipse fitting algorithm

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    • Table 1. Demodulation results of input signals with different amplitudes by ellipse fitting algorithm

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      Table 1. Demodulation results of input signals with different amplitudes by ellipse fitting algorithm

      Input signalamplitude /radDemodulation signalamplitude /radError /%
      1.2001.20030.025
      0.6000.60020.033
      0.1200.12554.6
      0.0120.019956

    • Table 2. Parameters of ellipse fitting algorithm for different strains

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      Table 2. Parameters of ellipse fitting algorithm for different strains

      Parameterε0=0.24μεε1=0.090μεε2=0.030μεε3=0.015με
      A21.962.020.471.13
      A11.771.972.652.51
      B11.492.360.020.66
      B21.631.300.140.76
      Er1—0.030.760.42
      Er2—0.110.500.42
      Er3—0.580.970.56
      Er4—0.200.910.53
      Note: Er1=[A2(ε)-A2(ε0)]/A2(ε0);Er2=[A1(ε)-A1(ε0)]/A1(ε0);Er3=[B1(ε)-B1(ε0)]/B1(ε0);Er4=[B2(ε)-B2(ε0)]/B2(ε0).
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    Ze Mei, Haifei Lü, Xiaoyan Wen, Min Li. Modified Ellipse Fitting Algorithm and Phase Demodulation of Vibration Sensing[J]. Acta Optica Sinica, 2021, 41(24): 2412001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Apr. 29, 2021

    Accepted: Jun. 21, 2021

    Published Online: Nov. 30, 2021

    The Author Email: Li Min (minli@whut.edu.cn)

    DOI:10.3788/AOS202141.2412001

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology