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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Published on: January 28, 2019

Iterative algorithm for phase extraction from interferograms with random and spatially nonuniform phase shifts.

Jiancheng Xu1, Qiao Xu, Liqun Chai

  • 1Chengdu Fine Optical Engineering Research Center, Chengdu, Sichuan, China. xujiancheng@ustc.edu

Applied Optics
|January 22, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces an iterative algorithm for precise phase distribution extraction from interferograms. It accurately corrects tilt errors, improving phase calculation accuracy and convergence speed.

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Area of Science:

  • Optical Metrology
  • Interferometry
  • Image Processing

Background:

  • Phase-shifting interferometry is crucial for metrology but sensitive to tilt errors.
  • Existing algorithms struggle with spatially nonuniform phase shifts and tilts.
  • Accurate phase retrieval is essential for quantitative analysis in various scientific fields.

Purpose of the Study:

  • To develop an advanced iterative algorithm for robust phase distribution extraction.
  • To accurately retrieve local phase shifts from nonuniform phase-shifted interferograms.
  • To eliminate the influence of tilts during phase shifting for high-precision phase distribution calculation.

Main Methods:

  • The proposed algorithm divides interferograms into small blocks for iterative local phase shift retrieval.
  • It employs an iterative approach to accurately determine phase shifts within each block.
  • The method effectively compensates for tilt effects during the phase-shifting process.

Main Results:

  • The algorithm achieves high precision in phase distribution extraction.
  • It demonstrates faster convergence compared to previous iterative algorithms.
  • The method remains effective even with significant tilt errors (up to 27.6% of normal phase step).

Conclusions:

  • The advanced iterative algorithm offers a robust solution for phase retrieval from challenging interferograms.
  • It provides a significant improvement in precision and speed for phase distribution analysis.
  • This method enhances the reliability of quantitative phase measurements in the presence of tilts.