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Least-squares algorithm for phase-stepping interferometry with an unknown relative step.

Hongwei Guo1, Mingyi Chen

  • 1Laboratory of Applied Optics and Metrology, Shanghai University, Shanghai, 20072, China. hw-guo@yeah.net

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Summary
This summary is machine-generated.

This study introduces a new algorithm for phase-stepping interferometry. It accurately determines unknown phase steps from intensity data, improving phase measurement accuracy.

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Area of Science:

  • Optical Metrology
  • Interferometry
  • Signal Processing

Background:

  • Phase-stepping interferometry is crucial for precise measurements.
  • Accurate determination of phase steps is essential for reliable results.
  • Existing methods can be sensitive to noise and require known phase steps.

Purpose of the Study:

  • To propose a novel pointwise least-squares algorithm for phase-stepping interferometry.
  • To address the challenge of an unknown relative phase step.
  • To enhance the accuracy and robustness of phase evaluation.

Main Methods:

  • Developed a least-squares phase-stepping algorithm.
  • Utilized a recursive formula for linear prediction of intensity sequences.
  • Deduced an unbiased estimator for the relative phase step.
  • Applied the estimated phase step for phase value evaluation.

Main Results:

  • The algorithm accurately determines unknown relative phase steps.
  • It effectively handles the direct-current bias in intensity signals.
  • Computer simulations verified the algorithm's validity and performance.
  • The method provides an unbiased estimation of phase steps.

Conclusions:

  • The proposed algorithm offers a robust solution for phase-stepping interferometry with unknown phase steps.
  • It improves the accuracy of phase measurements by providing unbiased phase step estimation.
  • This method has potential applications in various optical measurement fields.