Volume 16 Issue 3
May  2023
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QIAO Nao-sheng, SHANG Xue. Phase measurement with dual-frequency grating in a nonlinear system[J]. Chinese Optics, 2023, 16(3): 726-732. doi: 10.37188/CO.EN.2022-0013
Citation: QIAO Nao-sheng, SHANG Xue. Phase measurement with dual-frequency grating in a nonlinear system[J]. Chinese Optics, 2023, 16(3): 726-732. doi: 10.37188/CO.EN.2022-0013

Phase measurement with dual-frequency grating in a nonlinear system

doi: 10.37188/CO.EN.2022-0013
Funds:  Supported by Key Scientific Research Project of Hunan Provincial Department of Education (No. 22A0484); National Natural Science Foundation of China (No. 12104150)
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  • Author Bio:

    QIAO Nao-sheng (1971—), Ph.D, Professor, International College, Hunan University of Arts and Science. His research interests are in optical information processing. E-mail: naoshengqiao@163.com

  • Corresponding author: naoshengqiao@163.com
  • Received Date: 17 Aug 2022
  • Rev Recd Date: 19 Sep 2022
  • Accepted Date: 22 Sep 2022
  • Available Online: 13 Oct 2022
  • To gain better phase measurement results in nonlinear measurement systems, a phase measurement method that uses dual-frequency grating after reducing the nonlinear effect is proposed. Firstly, the nonlinear effect of the phase measurement system is discussed, the basic reason for the existence of high-order spectra components in the frequency domain is analyzed, and the basic method used to reduce the nonlinear effect and separate fundamental frequency information is given. Then, on the basis of reducing the nonlinear effect’s influence on the system, the basic principle of phase measurement for the fringe image of a measured object using the dual-frequency grating method is analyzed. To verify the correctness and effectiveness of the proposed phase measurement method, a computer simulation and a practical experiments were implemented with good results. In the simulation, the error value of this method was 27.97% for the method with nonlinear influence, and 52.51% for that with almost no nonlinear influence. In the experiment, the effect of phase recovery produces the best results. This shows that the proposed phase measurement method is effective with a small error.

     

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