Space-bandwidth ratio as a means of choosing between Fresnel and other linear canonical transform algorithms

Title: Space-bandwidth ratio as a means of choosing between Fresnel and other linear canonical transform algorithms
Authors: Healy, John J.
Sheridan, John T.
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Date: 1-May-2011
Abstract: The product of the spatial and spatial frequency extents of a wave field has proven useful in the analysis of the sampling requirements of numerical simulations. We propose that the ratio of these quantities is also illuminating. We have shown that the distance at which the so-called “direct method” becomes more efficient than the so-called “spectral method” for simulations of Fresnel transforms may be written in terms of this space-bandwidth ratio. We have proposed generalizations of these algorithms for numerical simulations of general ABCD systems and derived expressions for the “transition space-bandwidth ratio” above which the generalization of the spectral method is the more efficient algorithm and below which the generalization of the direct method is preferable.
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): 2011 Optical Society of America
Subject LCSH: Fourier transform optics
Numerical analysis
Geometrical optics
DOI: 10.1364/JOSAA.28.000786
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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