Reevaluation of the direct method of calculating Fresnel and other linear canonical transforms

Title: Reevaluation of the direct method of calculating Fresnel and other linear canonical transforms
Authors: Healy, John J.
Sheridan, John T.
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Date: 1-Apr-2010
Abstract: The linear canonical transform may be used to simulate the effect of paraxial optical systems on wave fields. Using a recent definition of the discrete linear canonical transform, phase space diagram analyses of the sampling requirements of the direct method of calculating the Fresnel and other linear canonical transforms are more favorable than previously thought. Thus the direct method of calculating these Transforms may be used with fewer samples than previously reported simply by making use of an appropriate reconstruction filter on the samples output by the algorithm.
Funding Details: Science Foundation Ireland
Irish Research Council for Science, Engineering and Technology
Other funder
Type of material: Journal Article
Publisher: Optical Society of America
Journal: Optics Letters
Volume: 35
Issue: 7
Start page: 947
End page: 949
Copyright (published version): 2010 Optical Society of America
Subject LCSH: Contact transformations
Numerical analysis
Fourier transform optics
Signal processing
DOI: 10.1364/OL.35.000947
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Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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