中国物理B ›› 2022, Vol. 31 ›› Issue (3): 30601-030601.doi: 10.1088/1674-1056/ac21c5

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Three-step self-calibrating generalized phase-shifting interferometry

Yu Zhang(张宇)1,2,†   

  1. 1 Institute of Materials Physics, College of Science, Northeast Electric Power University, Jilin 132012, China;
    2 State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130022, China
  • 收稿日期:2021-07-07 修回日期:2021-08-22 接受日期:2021-08-27 出版日期:2022-02-22 发布日期:2022-02-17
  • 通讯作者: Yu Zhang E-mail:20122412@neepu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61905039), Jilin Sci entific and Technological Development Program, China (Grant No. 20190701018GH), Education Department of Jilin Province, China (Grant No. JJKH20190691KJ), and State Key Laboratory of Applied Optics.

Three-step self-calibrating generalized phase-shifting interferometry

Yu Zhang(张宇)1,2,†   

  1. 1 Institute of Materials Physics, College of Science, Northeast Electric Power University, Jilin 132012, China;
    2 State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130022, China
  • Received:2021-07-07 Revised:2021-08-22 Accepted:2021-08-27 Online:2022-02-22 Published:2022-02-17
  • Contact: Yu Zhang E-mail:20122412@neepu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61905039), Jilin Sci entific and Technological Development Program, China (Grant No. 20190701018GH), Education Department of Jilin Province, China (Grant No. JJKH20190691KJ), and State Key Laboratory of Applied Optics.

摘要: An accurate and fast three-step self-calibrating generalized phase-shifting interferomertry (SGPSI) is proposed. In this approach, two new phase-shifting signals are constructed by the difference interferograms normalization and noise suppressing, then the unknown phase shift between the two difference phase-shifting signals is estimated quickly through searching the minimum coefficient of variation of the modulation amplitude, a limited number of pixels are selected to participate in the search process to further save time, and finally the phase is reconstructed through the searched phase shift. Through the reconstruction of phase map by the simulation and experiment, and the comparison with several mature algorithms, the good performance of the proposed algorithm is proved, and it eliminates the limitation of requiring more than three phase-shifting interferograms for high-precision SGPSI. We expect this method to be widely used in the future.

关键词: self-calibrating generalized phase-shifting interferomertry, phase shift, difference interferograms, modulation amplitude

Abstract: An accurate and fast three-step self-calibrating generalized phase-shifting interferomertry (SGPSI) is proposed. In this approach, two new phase-shifting signals are constructed by the difference interferograms normalization and noise suppressing, then the unknown phase shift between the two difference phase-shifting signals is estimated quickly through searching the minimum coefficient of variation of the modulation amplitude, a limited number of pixels are selected to participate in the search process to further save time, and finally the phase is reconstructed through the searched phase shift. Through the reconstruction of phase map by the simulation and experiment, and the comparison with several mature algorithms, the good performance of the proposed algorithm is proved, and it eliminates the limitation of requiring more than three phase-shifting interferograms for high-precision SGPSI. We expect this method to be widely used in the future.

Key words: self-calibrating generalized phase-shifting interferomertry, phase shift, difference interferograms, modulation amplitude

中图分类号:  (Metrology)

  • 06.20.-f
07.05.Kf (Data analysis: algorithms and implementation; data management) 07.60.Ly (Interferometers)