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Laser self-mixing interferometry for micro-vibration measurement based on inverse Hilbert transform

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Abstract

A novel micro-vibration reconstruction method based on inverse Hilbert transform is presented. By inversing either side of the SMI signal after Hilbert transform, micro-vibration can be reconstructed quickly and conveniently. In the paper, the principle of inverse Hilbert transform algorithm is studied. And, the effectiveness of the method is verified through simulated signals, and several experiments are carried out, including the self-mixing signal affected by speckle effect. The experimental results show that the external cavity phase can be rapidly extracted by inverse Hilbert transform algorithm, and the relative error is no more than 7%.

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Funding

This work was supported by the National Natural Science Foundation of China (NSFC) (61705095) and the Science and Technology Planning Project of Guangdong Province, China (2017A010102022).

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Authors and Affiliations

  1. School of Instrumentation Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China

    Zihua Zhang & Chengwei Li

  2. School of Electrical Engineering, Wuhan University, Wuhan, 430072, China

    Luqing Sun

  3. School of Physics Science and Technology, Lingnan Normal University, Zhanjiang, 524048, China

    Zhen Huang

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  1. Zihua Zhang
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  2. Luqing Sun
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  3. Chengwei Li
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  4. Zhen Huang
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Correspondence to Zihua Zhang or Chengwei Li.

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Zhang, Z., Sun, L., Li, C. et al. Laser self-mixing interferometry for micro-vibration measurement based on inverse Hilbert transform. Opt Rev 27, 90–97 (2020). https://doi.org/10.1007/s10043-019-00568-6

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