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

Author(s)
Healy, John J.  
Sheridan, John T.  
Uri
http://hdl.handle.net/10197/3334
Date Issued
2011-05-01
Date Available
2011-11-23T16:52:49Z
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.
Sponsorship
Science Foundation Ireland
Irish Research Council for Science, Engineering and Technology
Other Sponsorship
Enterprise Ireland
Type of Material
Journal Article
Publisher
Optical Society of America
Journal
Journal of the Optical Society of America A
Volume
28
Issue
5
Start Page
786
End Page
790
Copyright (Published Version)
2011 Optical Society of America
Subject – LCSH
Fourier transform optics
Numerical analysis
Geometrical optics
Holography
DOI
10.1364/JOSAA.28.000786
Web versions
http://dx.doi.org/10.1364/JOSAA.28.000786
Language
English
Status of Item
Peer reviewed
ISSN
1084-7529
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-sa/1.0/
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Owning collection
Electrical and Electronic Engineering Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
All other content is subject to copyright.

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