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Phase-shift extraction for phase-shifting interferometry by histogram of phase difference.

Jiancheng Xu1, Yong Li, Hui Wang

  • 1Institute of Information Optics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, China. xujiancheng@zjnu.cn

Optics Express
|December 18, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a novel, non-iterative method for phase shift extraction in phase shifting interferometry. It accurately determines phase shifts by analyzing phase differences, overcoming limitations of previous techniques.

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Area of Science:

  • Optical Metrology
  • Interferometry
  • Phase Measurement

Background:

  • Phase shifting interferometry (PSI) is a key technique for precise surface measurement.
  • Traditional PSI methods often assume uniform phase distribution, limiting accuracy.
  • Extracting unknown phase shifts is crucial for accurate interferometric analysis.

Purpose of the Study:

  • To develop a non-iterative method for unknown phase shift extraction in PSI.
  • To overcome the limitation of assuming equal phase distribution in [0, 2π].
  • To analyze factors affecting the accuracy of the proposed phase shift extraction method.

Main Methods:

  • A non-iterative approach utilizing the histogram of phase differences between adjacent interferogram frames.
  • Identifying the highest frequency bin in the phase difference histogram to determine the phase shift.
  • Analysis of influencing factors: random noise, CCD quantization, fringe pattern count, and histogram bin width.

Main Results:

  • Accurate extraction of unknown phase shifts without assuming equal phase distribution.
  • Validation of the method through numerical simulations and optical experiments.
  • Demonstrated robustness against random noise and quantization effects.

Conclusions:

  • The proposed non-iterative method provides an effective and accurate solution for phase shift extraction in PSI.
  • The method's accuracy is influenced by noise, quantization, fringe patterns, and histogram bin width.
  • This technique enhances the reliability and applicability of phase shifting interferometry.