ORCID Profile
0000-0003-3761-9192
Current Organisations
Delft University of Technology
,
Flexible Optical B.V.
,
Technische Universiteit Delft
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Publisher: SPIE
Date: 03-03-2022
DOI: 10.1117/12.2605452
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2020
DOI: 10.1137/19M1266800
Publisher: The Optical Society
Date: 11-03-2016
DOI: 10.1364/OL.41.001205
Publisher: Optica Publishing Group
Date: 10-05-2022
DOI: 10.1364/BOE.451634
Publisher: Springer Science and Business Media LLC
Date: 19-04-2021
DOI: 10.1007/S10444-021-09861-Y
Abstract: We present the convergence analysis of convex combination of the alternating projection and Douglas–Rachford operators for solving the phase retrieval problem. New convergence criteria for iterations generated by the algorithm are established by applying various schemes of numerical analysis and exploring both physical and mathematical characteristics of the phase retrieval problem. Numerical results demonstrate the advantages of the algorithm over the other widely known projection methods in practically relevant simulations.
Publisher: IOP Publishing
Date: 09-11-2021
Abstract: We develop for the first time a mathematical framework in which the class of projection algorithms can be applied to high numerical aperture (NA) phase retrieval. Within this framework, we first analyze the basic steps of solving the high-NA phase retrieval problem by projection algorithms and establish the closed forms of all the relevant projection operators. We then study the geometry of the high-NA phase retrieval problem and the obtained results are subsequently used to establish convergence criteria of projection algorithms in the presence of noise. Making use of the vectorial point-spread-function (PSF) is, on the one hand, the key difference between this paper and the literature of phase retrieval mathematics which deals with the scalar PSF. The results of this paper, on the other hand, can be viewed as extensions of those concerning projection methods for low-NA phase retrieval. Importantly, the improved performance of projection methods over the other classes of phase retrieval algorithms in the low-NA setting now also becomes applicable to the high-NA case. This is demonstrated by the accompanying numerical results which show that available solution approaches for high-NA phase retrieval are outperformed by projection methods.
Publisher: Optica Publishing Group
Date: 02-12-2020
Abstract: We present an efficient phase retrieval approach for imaging systems with high numerical aperture based on the vectorial model of the point spread function. The algorithm is in the class of alternating minimization methods and can be adjusted for applications with either known or unknown litude of the field in the pupil. The algorithm outperforms existing solutions for high-numerical-aperture phase retrieval: (1) the generalization of the method of Hanser et al. , based on extension of the scalar diffraction theory by representing the out-of-focus ersity applied to the image by a spherical cap, and (2) the method of Braat et al. , which assumes through the use of extended Nijboer–Zernike expansion the phase to be smooth. The former is limited in terms of accuracy due to model deviations, while the latter is of high computational complexity and excludes phase retrieval problems where the phase is discontinuous or sparse. Extensive numerical results demonstrate the efficiency, robustness, and practicability of the proposed algorithm in various practically relevant simulations.
Publisher: Optica Publishing Group
Date: 2020
Abstract: We consider the extension of the traditional projection-based phase retrieval algorithms by increasing the problem dimensionality and introducing novel projection operators. The approach is demonstrated on an ex le of phase retrieval for the high-NA case.
Publisher: SPIE
Date: 02-03-2022
DOI: 10.1117/12.2609697
Publisher: Springer International Publishing
Date: 2021
No related grants have been discovered for Oleg Soloviev.