Modal-based phase retrieval using Gaussian radial basis functions
Pieter Piscaer (TU Delft - Team Raf Van de Plas)
Abhimanyu Gupta (TU Delft - Team Bart De Schutter)
Oleg Soloviev (TU Delft - Team Raf Van de Plas)
M.H.G. Verhaegen (TU Delft - Team Raf Van de Plas)
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Abstract
In this paper, we propose the use of Gaussian radial basis functions (GRBFs) to model the generalized pupil function for phase retrieval. The selection of the GRBF hyper-parameters is analyzed to achieve an increased accuracy of approximation. The performance of the GRBF-based method is compared in a simulation study with another modal-based approach considering extended Nijboer–Zernike (ENZ) polynomials. The almost local character of the GRBFs makes them a much more flexible basis with respect to the pupil geometry. It has been shown that for aberrations containing higher spatial frequencies, the GRBFs outperform ENZ polynomials significantly, even on a circular pupil. Moreover, the flexibility has been demonstrated by considering the phase retrieval problem on an annular pupil.