• Acta Photonica Sinica
  • Vol. 45, Issue 1, 112001 (2016)
XU Jian-cheng*, HOU Yuan-yuan, and CHEN Zhao
Author Affiliations
  • [in Chinese]
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    DOI: 10.3788/gzxb20164501.0112001 Cite this Article
    XU Jian-cheng, HOU Yuan-yuan, CHEN Zhao. Phase-shifting Calibrating Method Based on Principle Component Analysis in Interferometer[J]. Acta Photonica Sinica, 2016, 45(1): 112001 Copy Citation Text show less

    Abstract

    By using Principal Component Analysis, the phase and the phase shifts were extracted simultaneously from one set of interferograms, the relationship between the phase shifts and the driving voltages was obtained and then the calibration of nonlinear phase shifts was achieved. Numerical simulations and experiments were implemented to verify the effectiveness of this method. The simulation results show that the calculation error of phase shifts for the method decreases with the increasing of the number of fringes in interferograms. The error is less than 0.1664rad when the number of fringes is larger than 0.25. The experimental results show that the calculation error of phase shifts is a periodic distribution and has few effect on the accuracy of phase shifter calibration. The proposed method without non-iterative has no strict requirement for the number of fringes in interferograms, thus it is an effective and efficient nonlinear phase-shifting calibrating method for piezoelectric ceramic transducer in interferometer.
    XU Jian-cheng, HOU Yuan-yuan, CHEN Zhao. Phase-shifting Calibrating Method Based on Principle Component Analysis in Interferometer[J]. Acta Photonica Sinica, 2016, 45(1): 112001
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