Open AccessLight-shaping design by a fourier pair synthesis: the homeomorphic case
Author(s) -
Le Yang,
Irfan Badar,
Christian Hellmann,
Frank Wyrowski
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.415649
Subject(s) - fourier transform , optics , fourier optics , algorithm , fourier analysis , computer science , point spread function , physical optics , discrete time fourier transform , function (biology) , fourier series , iterative method , physics , fractional fourier transform , mathematics , mathematical analysis , evolutionary biology , biology
From a physical-optics point of view, the far-field light-shaping problem mainly requires a Fourier pair synthesis. The Iterative Fourier Transform Algorithm (IFTA) is one of the algorithms capable of realizing this synthesis, however, it may lead to stagnation problems when the fields of the Fourier pair exhibit a homeomorphic behavior. To overcome this problem, we use a mapping-type relation for the Fourier pair synthesis. This approach results in a smooth phase response function in a single step, without requiring an iterative procedure. The algorithm is demonstrated with examples and the results are investigated via physical-optics modeling techniques.