• Chinese Optics Letters
  • Vol. 19, Issue 9, 091202 (2021)
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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    DOI: 10.3788/COL202119.091202 Cite this Article Set citation alerts
    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[J]. Chinese Optics Letters, 2021, 19(9): 091202 Copy Citation Text show less
    FPI schematic diagram.
    Fig. 1. FPI schematic diagram.
    Experimental schematic diagram.
    Fig. 2. Experimental schematic diagram.
    Reconstruction diagram of phase position.
    Fig. 3. Reconstruction diagram of phase position.
    Simulation of the FPI signal and the reconstruction signal.
    Fig. 4. Simulation of the FPI signal and the reconstruction signal.
    Schematic of the experimental setup.
    Fig. 5. Schematic of the experimental setup.
    Experimental signal and reconstruction of sine wave vibration.
    Fig. 6. Experimental signal and reconstruction of sine wave vibration.
    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 1. Values of the Variables in Simulations
    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%
    Table 2. Experimental Relative Error
    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[J]. Chinese Optics Letters, 2021, 19(9): 091202
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