Radial basis functions for aberration retrieval in adaptive optics

Master thesis (2017)

Authors

A. Gupta Mechanical Engineering

Contributors

M.H.G. Verhaegen (mentor)
S. Grammatico (coach)
P.J. Piscaer (graduation committee member)
D. Wilding (coach)
Faculty
Mechanical Engineering, Mechanical Engineering
Copyright: © 2017 Abhimanyu Gupta
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Published Date

29-11-2017

Language

English

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Faculty

Mechanical Engineering

Abstract

The use of radial basis function (RBF) expansion as a means to represent the generalized pupil function for aberration retrieval from intensity point-spread function has been investigated in this research article. The optimal choice of RBF hyper-parameters is derived empirically to achieve an increased accuracy of approximation along with well-conditioned basis. The phase retrieval problem is solved using PhaseLift, an algorithm based on matrix rank minimization and also using a variant of the alternating projections algorithm proposed by Gerchberg-Saxton. The performance of the RBF-based method is compared in terms of accuracy and execution time with that based on the extended Nijboer-Zernike approach. Numerical results based on simulations are presented.

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