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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

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

Haoyuan Zhang^1,2,3, Guohao Ju^1,3, Liang Guo^1,2,3

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

Sensors (Basel, Switzerland)

|July 11, 2023

Summary

This summary is machine-generated.

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-BFGS active optics phase 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.