Acta Optica Sinica, Volume. 44, Issue 19, 1912003(2024)

Laser Self-Mixing Interference Signal Processing Method Based on Hilbert Transform

Yuning Wang1,2, Hanmu Wang1,2, Yicong Feng1,2, Jian Zhou1,2、*, and Xiaoming Nie1,2
Author Affiliations
  • 1College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, Hunan , China
  • 2Nanhu Laser Laboratory, National University of Defense Technology, Changsha 410073, Hunan , China
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    Figures & Tables(12)
    Self-mixing model
    Diagram of electro-optic modulation laser self-mixing system
    Proportionality factor of tangent function. (a) First and second-order Bessel function curves; (b) proportional factor variation curves caused by phase difference
    Variation of standard deviation with scale factor K
    Block diagram of normalized electro-optic orthogonal demodulation
    Experimental setup for electro-optic demodulation self-mixing
    Self-mixing signal. (a) Electro-optical modulation self-mixing signal; (b) self-mixing signal spectrum
    Harmonic signals. (a) Non-normalized first-order harmonic; (b) non-normalized second-order harmonic; (c) normalized first-order harmonic based on maximum; (d) normalized second-order harmonic based on maximum; (e) normalized first-order harmonic based on Hilbert transform; (f) normalized second-order harmonic based on Hilbert transform
    Measurement results. (a) Displacement curves; (b) error curves
    Standard deviation of normalization and non-normalization measurements
    Reconstructions of vibrations with different waveforms. (a) Triangular wave; (b) error of triangular wave; (c) square wave; (d) error of square wave
    • Table 1. Normalized and non-normalized mean standard deviations for 1‒10 μm peak-to-peak values

      View table

      Table 1. Normalized and non-normalized mean standard deviations for 1‒10 μm peak-to-peak values

      Peek-to-peek value /μmNon-normalized σ /nmNormalized σ /nm
      115.412.2
      216.711.4
      316.511.7
      416.410.9
      516.612.5
      616.911.9
      717.512.8
      817.011.6
      917.612.8
      1017.612.6
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    Yuning Wang, Hanmu Wang, Yicong Feng, Jian Zhou, Xiaoming Nie. Laser Self-Mixing Interference Signal Processing Method Based on Hilbert Transform[J]. Acta Optica Sinica, 2024, 44(19): 1912003

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Apr. 19, 2024

    Accepted: May. 20, 2024

    Published Online: Oct. 12, 2024

    The Author Email: Zhou Jian (wttzhoujian@163.com)

    DOI:10.3788/AOS240876

    CSTR:32393.14.AOS240876

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