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Synthesis and Characterization of Multi-Modal Phase-Change Porphyrin Droplets

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Modal-based phase retrieval using Gaussian radial basis functions.

P J Piscaer, A Gupta, O Soloviev

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|August 16, 2018

Summary

This summary is machine-generated.

Gaussian radial basis functions (GRBFs) offer a flexible and accurate method for phase retrieval. This approach outperforms traditional extended Nijboer-Zernike (ENZ) polynomials, especially for complex aberrations and varied pupil shapes.

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Area of Science:

Optics and Photonics
Computational Imaging
Wavefront Sensing

Background:

Phase retrieval is crucial for optical system characterization.
Existing modal-based methods, like extended Nijboer-Zernike (ENZ) polynomials, have limitations in flexibility and accuracy for complex aberrations.
Modeling the generalized pupil function is key to improving phase retrieval algorithms.

Purpose of the Study:

To introduce and evaluate Gaussian radial basis functions (GRBFs) for modeling the generalized pupil function in phase retrieval.
To analyze GRBF hyper-parameter selection for enhanced approximation accuracy.
To compare the performance of GRBFs against ENZ polynomials.

Main Methods:

Utilizing Gaussian radial basis functions (GRBFs) to represent the generalized pupil function.
Analyzing the impact of GRBF hyper-parameter selection on approximation accuracy.
Conducting simulation studies to compare GRBFs with extended Nijboer-Zernike (ENZ) polynomials.

Main Results:

GRBFs provide a more flexible basis for modeling pupil geometries due to their localized nature.
The GRBF-based method demonstrates significantly superior performance compared to ENZ polynomials for aberrations with high spatial frequencies.
The effectiveness of GRBFs is validated on both circular and annular pupils.

Conclusions:

GRBFs offer a powerful and flexible alternative for phase retrieval, outperforming traditional methods.
The localized properties of GRBFs enable accurate modeling of complex pupil functions and aberrations.
This method holds promise for advanced optical metrology and imaging applications.