Efficient computation of quadratic-phase integrals in optics

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dc.citation.epage37en_US
dc.citation.issueNumber1en_US
dc.citation.spage35en_US
dc.citation.volumeNumber31en_US
dc.contributor.authorÖzaktaş, H. M.en_US
dc.contributor.authorKoç, A.en_US
dc.contributor.authorSarı, I.en_US
dc.contributor.authorKutay, M. A.en_US
dc.date.accessioned2015-07-28T11:57:38Z
dc.date.available2015-07-28T11:57:38Z
dc.date.issued2006en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractReceived June 29, 2005; revised manuscript received August 22, 2005; accepted September 12, 2005 We present a fast N log N time algorithm for computing quadratic-phase integrals. This three-parameter class of integrals models propagation in free space in the Fresnel approximation, passage through thin lenses, and propagation in quadratic graded-index media as well as any combination of any number of these and is therefore of importance in optics. By carefully managing the sampling rate, one need not choose N much larger than the space–bandwidth product of the signals, despite the highly oscillatory integral kernel. The only deviation from exactness arises from the approximation of a continuous Fourier transform with the discrete Fourier transform. Thus the algorithm computes quadratic-phase integrals with a performance similar to that of the fast-Fourier-transform algorithm in computing the Fourier transform, in terms of both speed and accuracy. © 2006 Optical Society of Americaen_US
dc.identifier.doi10.1364/OL.31.000035en_US
dc.identifier.issn0146-9592
dc.identifier.urihttp://hdl.handle.net/11693/11423
dc.language.isoEnglishen_US
dc.publisherOptical Society of Americaen_US
dc.relation.isversionofhttp://dx.doi.org/10.1364/OL.31.000035en_US
dc.source.titleOptics lettersen_US
dc.subjectFree spaceen_US
dc.subjectFresnel approximationsen_US
dc.subjectIntegral modelsen_US
dc.subjectQuadratic-phase integralsen_US
dc.titleEfficient computation of quadratic-phase integrals in opticsen_US
dc.typeArticleen_US

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