Scalar diffraction field calculation from curved surfaces via Gaussian beam decomposition

dc.citation.epage1469en_US
dc.citation.issueNumber7en_US
dc.citation.spage1459en_US
dc.citation.volumeNumber29en_US
dc.contributor.authorŞahin, E.en_US
dc.contributor.authorOnural, L.en_US
dc.date.accessioned2016-02-08T09:45:53Z
dc.date.available2016-02-08T09:45:53Z
dc.date.issued2012-06-29en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe introduce a local signal decomposition method for the analysis of three-dimensional (3D) diffraction fields involving curved surfaces. We decompose a given field on a two-dimensional curved surface into a sum of properly shifted and modulated Gaussian-shaped elementary signals. Then we write the 3D diffraction field as a sum of Gaussian beams, each of which corresponds to a modulated Gaussian window function on the curved surface. The Gaussian beams are propagated according to a derived approximate expression that is based on the Rayleigh-Sommerfeld diffraction model. We assume that the given curved surface is smooth enough that the Gaussian window functions on it can be treated as written on planar patches. For the surfaces that satisfy this assumption, the simulation results show that the proposed method produces quite accurate 3D field solutions.en_US
dc.identifier.doi10.1364/JOSAA.29.001459en_US
dc.identifier.issn1084-7529
dc.identifier.urihttp://hdl.handle.net/11693/21406
dc.language.isoEnglishen_US
dc.publisherOptical Society of Americaen_US
dc.relation.isversionofhttp://dx.doi.org/10.1364/JOSAA.29.001459en_US
dc.source.titleJournal of the Optical Society of America A: Optics and Image Science, and Visionen_US
dc.subjectDiffractionen_US
dc.subjectGaussian beamsen_US
dc.subjectGaussian distributionen_US
dc.subjectThree dimensionalen_US
dc.subjectThree dimensional computer graphicsen_US
dc.subject3D diffractionen_US
dc.subjectApproximate expressionsen_US
dc.subjectCurved surfacesen_US
dc.subjectDiffraction fieldsen_US
dc.subjectDiffraction modelsen_US
dc.subjectElementary signalsen_US
dc.subjectGaussian windowen_US
dc.subjectLocal signalen_US
dc.subjectPlanar patchen_US
dc.subjectScalar diffractionen_US
dc.subjectSurfacesen_US
dc.titleScalar diffraction field calculation from curved surfaces via Gaussian beam decompositionen_US
dc.typeArticleen_US
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