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Fast High-Resolution Phase Diversity Wavefront Sensing with L-BFGS Algorithm.

Haoyuan Zhang1,2,3, Guohao Ju1,3, Liang Guo1,2,3

  • 1Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China.

Sensors (Basel, Switzerland)
|July 11, 2023
PubMed
Summary

This study introduces a fast, high-resolution phase diversity wavefront sensing method using the limited memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) algorithm to accurately detect aberrations. This approach overcomes the limitations of traditional methods, offering improved efficiency and robustness for optical system analysis.

Keywords:
L-BFGSactive opticsphase diversity

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Area of Science:

  • Optical Engineering
  • Wavefront Sensing and Adaptive Optics

Background:

  • Manufacturing errors in large mirrors introduce high-order aberrations, degrading optical system performance.
  • High-resolution phase diversity wavefront sensing is crucial for aberration detection but often suffers from low efficiency and stagnation.

Purpose of the Study:

  • To propose a novel, fast, and high-resolution phase diversity method for accurate aberration detection.
  • To address the efficiency and stagnation issues in conventional high-resolution phase diversity wavefront sensing.

Main Methods:

  • Integration of an analytical gradient of the phase-diversity objective function into the limited memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) nonlinear optimization algorithm.
  • Application of the L-BFGS algorithm, suitable for optimizing large phase matrices in high-resolution wavefront sensing.

Main Results:

  • The proposed L-BFGS-based phase diversity method accurately detects aberrations, including high-order ones.
  • Simulations and experimental results demonstrate superior performance compared to other iterative methods.

Conclusions:

  • The developed L-BFGS method offers a fast and robust solution for high-resolution image-based wavefront sensing.
  • This technique effectively mitigates issues of low efficiency and stagnation in aberration detection.