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

Hongwei Liang; Yu Sun; Zhen Huang; Chunlei Jiang; Zihua Zhang; Lingling Kan

doi:10.3788/COL202119.091202

Journals >Chinese Optics Letters >Volume 19 >Issue 9 >Page 091202 > Article

Chinese Optics Letters
Vol. 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 Jiang^1、**, Zihua Zhang³, and Lingling Kan^1、*

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

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Abstract

A novel reconstruction method of nanometer micro-displacement of Fabry–Perot (F-P) interference is proposed in this study. Hilbert transforms are performed for F-P interference fringes, and the obtained signal performs tangent operation with the original signal. Finally, the validity of the proposed algorithm and the structure are verified by simulation and several experimental measurements for vibration. Results from the experiments show that the maximum relative error is 4.9%.

Keywords

displacement reconstruction Fabry–Perot interferometer phase unwrapping