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Cross-iteration multi-step optimization strategy for three-dimensional intensity position correction in phase diverse

Lei Zhao, Hao Yan, Wenhui Fei

|October 7, 2021

Summary

Accurate wavefront reconstruction requires precise 3D intensity position correction in phase retrieval. This study introduces a cross-iteration optimization method for robust and precise correction, enhancing wavefront measurement and phase imaging.

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Area of Science:

Optical Engineering
Computational Imaging

Background:

Wavefront reconstruction accuracy in phase retrieval is limited by parameter mismatches between optical systems and models.
Current methods often separate lateral and axial position corrections, potentially impacting overall accuracy.

Purpose of the Study:

To propose and validate a novel three-dimensional (3D) intensity position correction method for phase diverse phase retrieval.
To enhance the accuracy and robustness of wavefront reconstruction by integrating 3D position correction within the iterative process.

Main Methods:

A cross-iteration nonlinear optimization strategy is employed for 3D intensity position correction.
Intensity position is initially optimized using a coarse method, followed by cross-optimization with exact methods during iterative wavefront reconstruction.
Analytic gradients for the 3D intensity position are derived to facilitate optimization.

Main Results:

The proposed method achieves accurate and robust correction of 3D intensity positions.
Wavefront reconstruction accuracy is significantly improved by avoiding interference from incomplete position correction.
Numerical and experimental verifications confirm the method's effectiveness.

Conclusions:

The developed cross-iteration optimization strategy effectively addresses parameter mismatches in phase retrieval.
The method provides a robust solution for accurate intensity position correction and wavefront reconstruction.
This technique is valuable for advanced wavefront measurement and phase imaging applications.