Chinese Optics Letters, Volume. 19, Issue 9, 091202(2021)

Reconstruction of Fabry–Perot cavity interferometer nanometer micro-displacement based on Hilbert transform

Hongwei Liang1, Yu Sun1, Zhen Huang2, Chunlei Jiang1、**, Zihua Zhang3, and Lingling Kan1、*
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
  • 3Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China
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    Figures & Tables(8)
    FPI schematic diagram.
    Experimental schematic diagram.
    Reconstruction diagram of phase position.
    Simulation of the FPI signal and the reconstruction signal.
    Schematic of the experimental setup.
    Experimental signal and reconstruction of sine wave vibration.
    • Table 1. Values of the Variables in Simulations

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      Table 1. Values of the Variables in Simulations

      VariablesDefinitionValues
      λLaser initial wavelength1550 nm
      LOriginal external cavity length between the laser and the target0.1 m
      fFrequency of the vibration5 Hz
      ΔLPeak-to-peak value of the vibration6.2 µm
    • Table 2. Experimental Relative Error

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      Table 2. Experimental Relative Error

      FrequencyError at Various Peak-to-Peak Values
      1.55 µm3.1 µm4.65 µm
      1 Hz2.7%2.3%1.5%
      3 Hz2.4%3.0%2.2%
      5 Hz3.8%2.8%2.4%
      7 Hz4.9%3.2%2.1%
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    Hongwei Liang, Yu Sun, Zhen Huang, Chunlei Jiang, Zihua Zhang, Lingling Kan, "Reconstruction of Fabry–Perot cavity interferometer nanometer micro-displacement based on Hilbert transform," Chin. Opt. Lett. 19, 091202 (2021)

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    Paper Information

    Category: Instrumentation, Measurement, and Optical Sensing

    Received: Dec. 24, 2020

    Accepted: Mar. 3, 2021

    Published Online: Jun. 15, 2021

    The Author Email: Chunlei Jiang (jiangchunlei_nepu@163.com), Lingling Kan (kll@nepu.edu.cn)

    DOI:10.3788/COL202119.091202

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