Optimal representation and processing of optical signals in quadratic-phase systems
Author
Arik, S. Ö.
Haldun M. Özaktaş
Date
2016Source Title
Optics Communications
Print ISSN
0030-4018
Publisher
Elsevier
Volume
366
Pages
17 - 21
Language
English
Type
ArticleItem Usage Stats
107
views
views
116
downloads
downloads
Abstract
Optical fields propagating through quadratic-phase systems (QPSs) can be modeled as magnified fractional Fourier transforms (FRTs) of the input field, provided we observe them on suitably defined spherical reference surfaces. Non-redundant representation of the fields with the minimum number of samples becomes possible by appropriate choice of sample points on these surfaces. Longitudinally, these surfaces should not be spaced equally with the distance of propagation, but with respect to the FRT order. The non-uniform sampling grid that emerges mirrors the fundamental structure of propagation through QPSs. By providing a means to effectively handle the sampling of chirp functions, it allows for accurate and efficient computation of optical fields propagating in QPSs.
Keywords
ABCD systemsFourier optics
Fractional Fourier transform
Linear canonical transform
Quadratic-phase systems
Sampling