Fast linear canonical transforms

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Title: Fast linear canonical transforms
Authors: Healy, John J.
Sheridan, John T.
Permanent link: http://hdl.handle.net/10197/3296
Date: 1-Jan-2010
Abstract: The linear canonical transform provides a mathematical model of paraxial propagation though quadratic phase systems. We review the literature on numerical approximation of this transform, including discretization, sampling, and fast algorithms, and identify key results. We then propose a frequency-division fast linear canonical transform algorithm comparable to the Sande–Tukey fast Fourier transform. Results calculated with an implementation of this algorithm are presented and compared with the corresponding analytic functions.
Funding Details: Science Foundation Ireland
Irish Research Council for Science, Engineering and Technology
Type of material: Journal Article
Publisher: Optical Society of America
Copyright (published version): 2010 Optical Society of America
Subject LCSH: Fourier transform optics
Contact transformations
Geometrical optics
Optical data processing
DOI: 10.1364/JOSAA.27.000021
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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