Open AccessNon-propagation fast phase diverse phase retrieval for wavefront measurement with generalized FFT-based basis function
Author(s) -
Lei Zhao,
Hongyuan Yan,
Jing Hou,
Guohao Ju,
Kaiwei Wang,
Jian Bai
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.424793
Subject(s) - wavefront , phase retrieval , fast fourier transform , computer science , basis function , computation , optics , basis (linear algebra) , fresnel diffraction , phase (matter) , algorithm , diffraction , wave propagation , pupil function , fourier transform , physics , mathematics , mathematical analysis , geometry , quantum mechanics
Phase retrieval is an attractive optical testing method with a simple experimental arrangement. The sampling grids wave propagation computation based on the FFT operations is usually involved in each iterative process for the classical phase retrieval model. In this paper, a novel non-propagation optimization phase retrieval technique with the FFT-based basis function is proposed to accelerate wavefront measurement. The sampling grids wave diffraction propagation computation is converted to matrix-vector products that have small dimensions to reduce the computational burden. The diffraction basis function based on generalized numerical orthogonal polynomial and two-step Fresnel propagation is deduced, which is suitable for the generally shaped pupil. This paper provides a universal non-propagation framework to accelerate phase retrieval which is applicable to the arbitrarily shaped wavefront measurement.