Optical implementations of two-dimensional fractional Fourier transforms and linear canonical transforms with arbitrary parameters

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buir.contributor.authorHaldun M. Özaktaş
dc.citation.epage2141en_US
dc.citation.issueNumber11en_US
dc.citation.spage2130en_US
dc.citation.volumeNumber37en_US
dc.contributor.authorSahin, A.
dc.contributor.authorÖzaktaş, Haldun M.
dc.contributor.authorMendlovic, D.
dc.date.accessioned2015-07-28T11:56:40Z
dc.date.available2015-07-28T11:56:40Z
dc.date.issued1998-04-10en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe provide a general treatment of optical two-dimensional fractional Fourier transforming systems. We not only allow the fractional Fourier transform orders to be specified independently for the two dimensions but also allow the input and output scale parameters and the residual spherical phase factors to be controlled. We further discuss systems that do not allow all these parameters to be controlled at the same time but are simpler and employ a fewer number of lenses. The variety of systems discussed and the design equations provided should be useful in practical applications for which an optical fractional Fourier transforming stage is to be employed.en_US
dc.identifier.doi10.1364/AO.37.002130en_US
dc.identifier.issn0003-6935
dc.identifier.urihttp://hdl.handle.net/11693/11029
dc.language.isoEnglishen_US
dc.publisherOptical Society of Americaen_US
dc.relation.isversionofhttp://dx.doi.org/10.1364/AO.37.002130en_US
dc.source.titleApplied Opticsen_US
dc.subjectWigner distribution functionen_US
dc.subject2nd-order momentsen_US
dc.subjectSystemsen_US
dc.subjectOrderen_US
dc.subjectPropagationen_US
dc.subjectFiltersen_US
dc.subjectDomainen_US
dc.subjectChirpen_US
dc.subjectTimeen_US
dc.titleOptical implementations of two-dimensional fractional Fourier transforms and linear canonical transforms with arbitrary parametersen_US
dc.typeArticleen_US

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