Print Email Facebook Twitter Modal-based phase retrieval using Gaussian radial basis functions Title Modal-based phase retrieval using Gaussian radial basis functions Author Piscaer, P.J. (TU Delft Team Raf Van de Plas) Gupta, A. (TU Delft Team Bart De Schutter) Soloviev, O.A. (TU Delft Team Raf Van de Plas) Verhaegen, M.H.G. (TU Delft Team Raf Van de Plas) Date 2018 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. To reference this document use: http://resolver.tudelft.nl/uuid:847e0e93-8b4e-44d2-b4b5-1cbbf8a7f7d3 DOI https://doi.org/10.1364/JOSAA.35.001233 ISSN 1084-7529 Source Journal of the Optical Society of America A: Optics and Image Science, and Vision, 35 (7), 1233-1242 Part of collection Institutional Repository Document type journal article Rights © 2018 P.J. Piscaer, A. Gupta, O.A. Soloviev, M.H.G. Verhaegen Files PDF josaa_35_7_1233.pdf 4.18 MB Close viewer /islandora/object/uuid:847e0e93-8b4e-44d2-b4b5-1cbbf8a7f7d3/datastream/OBJ/view