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Chinese Optics Letters, Volume. 19, Issue 10, 101402(2021)

Micro displacement reconstruction of self-mixing grating interferometer based on Littrow structure

Xiufang Wang1, Lina Feng1, Peng Chen1、*, Zhen Huang2, and Ye Yuan3
Author Affiliations
  • 1College of Electrical and Information Engineering, Northeast Petroleum University, Daqing 163318, China
  • 2School of Physics Science and Technology, Lingnan Normal University, Zhanjiang 524048, China
  • 3School of Instrumentation Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
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    Figures&Tables (9)
    Equations (20)
    References (27)
    Cited By (9)
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    Figures & Tables(9)
    Schematic diagram of SMGI.

    Fig. 1. Schematic diagram of SMGI.

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    Grating diffraction principle diagram.

    Fig. 2. Grating diffraction principle diagram.

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    Flow chart of integral reconstruction algorithm.

    Fig. 3. Flow chart of integral reconstruction algorithm.

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    Simulation harmonic vibration signals (C=0.1, α=4.6). (a) Interference signals. (b) Phase of the measured signals obtained by the integral reconstruction method. (c) Simulated target displacement (red) and reconstruction displacement (blue). (d) Errors.

    Fig. 4. Simulation harmonic vibration signals (C=0.1, α=4.6). (a) Interference signals. (b) Phase of the measured signals obtained by the integral reconstruction method. (c) Simulated target displacement (red) and reconstruction displacement (blue). (d) Errors.

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    Experimental setup.

    Fig. 5. Experimental setup.

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    Experimental results of sinusoidal vibration. (a) Interference signals. (b) Filtered interference signals. (c) Reconstruction displacement (blue) and theoretical target displacement (red). (d) Errors.

    Fig. 6. Experimental results of sinusoidal vibration. (a) Interference signals. (b) Filtered interference signals. (c) Reconstruction displacement (blue) and theoretical target displacement (red). (d) Errors.

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    Experimental results of random vibration. (a) Interference signals. (b) Filtered interference signals. (c) Reconstruction displacement (blue) and theoretical target displacement (red). (d) Errors.

    Fig. 7. Experimental results of random vibration. (a) Interference signals. (b) Filtered interference signals. (c) Reconstruction displacement (blue) and theoretical target displacement (red). (d) Errors.

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    • Table 1. Physical Meaning of Symbols in Equations

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      Table 1. Physical Meaning of Symbols in Equations

      SymbolPhysical MeaningValue in This Letter
      CFeedback level parameter0 < C < 1
      αLine-width enhancement factor4.6
      mDiffraction orderm=1, 2, 3…
      θmReflected angle of the mth diffracted light
      θ1Reflected angle of the +1st diffracted light
      θiIncident angle of the light
      dGrating pitch1/1200 mm
      λLaser wavelength650 nm
      cSpeed of light3×108 m/s

    • Table 2. Errors of Sinusoidal Vibration

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      Table 2. Errors of Sinusoidal Vibration

      Peak-to-Peak Amplitude (µm)Frequency (Hz)Maximum Absolute Error (nm)Average Absolute Error (nm)
      2246.4713.04
      344.2712.45
      446.6515.69
      546.9114.09
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    Xiufang Wang, Lina Feng, Peng Chen, Zhen Huang, Ye Yuan, "Micro displacement reconstruction of self-mixing grating interferometer based on Littrow structure," Chin. Opt. Lett. 19, 101402 (2021)

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    Paper Information

    Category: Lasers, Optical Amplifiers, and Laser Optics

    Received: Dec. 27, 2020

    Accepted: Mar. 17, 2021

    Posted: Mar. 18, 2021

    Published Online: Aug. 12, 2021

    The Author Email: Peng Chen (eq0687@126.com)

    DOI:10.3788/COL202119.101402

    Topics

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