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

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dc.contributor.author Healy, John J.
dc.contributor.author Sheridan, John T.
dc.date.accessioned 2011-12-06T16:35:15Z
dc.date.available 2011-12-06T16:35:15Z
dc.date.copyright 2010 Optical Society of America en
dc.date.issued 2010-04-01
dc.identifier.citation Optics Letters en
dc.identifier.issn 0146-9592
dc.identifier.issn 1539-4794
dc.identifier.uri http://hdl.handle.net/10197/3381
dc.description.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. en
dc.description.sponsorship Science Foundation Ireland en
dc.description.sponsorship Irish Research Council for Science, Engineering and Technology en
dc.description.sponsorship Other funder en
dc.format.extent 149801 bytes
dc.format.extent 1072 bytes
dc.format.mimetype application/pdf
dc.format.mimetype text/plain
dc.language.iso en en
dc.publisher Optical Society of America en
dc.rights This paper was published in Optics Latters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=ol-35-7-947. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law. en
dc.subject.lcsh Contact transformations en
dc.subject.lcsh Numerical analysis en
dc.subject.lcsh Holography en
dc.subject.lcsh Fourier transform optics en
dc.subject.lcsh Signal processing en
dc.title Reevaluation of the direct method of calculating Fresnel and other linear canonical transforms en
dc.type Journal Article en
dc.internal.availability Full text available en
dc.internal.webversions http://dx.doi.org/10.1364/OL.35.000947 en
dc.status Peer reviewed en
dc.identifier.volume 35 en
dc.identifier.issue 7 en
dc.identifier.startpage 947 en
dc.identifier.endpage 949 en
dc.identifier.doi 10.1364/OL.35.000947
dc.neeo.contributor Healy|John J.|aut| en
dc.neeo.contributor Sheridan|John T.|aut| en
dc.description.othersponsorship Enterprise Ireland en
dc.description.othersponsorship FÁS en
dc.description.admin pe, la, sp, ke, is - TS 22.11.11 en


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