Optimal representation and processing of optical signals in quadratic-phase systems

Date
2016
Advisor
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Source Title
Optics Communications
Print ISSN
0030-4018
Electronic ISSN
Publisher
Elsevier
Volume
366
Issue
Pages
17 - 21
Language
English
Type
Article
Journal Title
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Volume Title
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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.

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Book Title
Keywords
ABCD systems, Fourier optics, Fractional Fourier transform, Linear canonical transform, Quadratic-phase systems, Sampling
Citation
Published Version (Please cite this version)