Analysis of reflection gratings by means of a matrix method approach

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dc.contributorHolografía y Procesado Ópticoen
dc.contributor.authorFrancés, Jorge-
dc.contributor.authorNeipp, Cristian-
dc.contributor.authorMárquez, Andrés-
dc.contributor.authorBeléndez, Augusto-
dc.contributor.authorPascual, Inmaculada-
dc.contributor.otherUniversidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señalen
dc.contributor.otherUniversidad de Alicante. Departamento de Óptica, Farmacología y Anatomíaen
dc.contributor.otherUniversidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologíasen
dc.date.accessioned2011-07-12T08:19:21Z-
dc.date.available2011-07-12T08:19:21Z-
dc.date.created2011-05-04-
dc.date.issued2011-06-30-
dc.identifier.citationFRANCÉS MONLLOR, Jorge, et al. "Analysis of reflection gratings by means of a matrix method approach," Progress In Electromagnetics Research. Vol. 118 (2011). ISSN 1559-8985, pp. 167-183en
dc.identifier.issn1070-4698 (Print)-
dc.identifier.issn1559-8985 (Online)-
dc.identifier.urihttp://hdl.handle.net/10045/18002-
dc.description.abstractIn this work, a matrix method is applied to study the propagation of electromagnetic waves inside a non-slanted reflection grating. The elements of the matrix which characterizes the periodic medium are obtained in terms of Mathieu functions and their derivatives, and the expressions of the efficiencies of reflected and transmitted orders are calculated in terms of the elements of the matrix. In addition the band structure of a general reflection grating is studied with the layer matrix of one single period. The results obtained by this matrix method are firstly compared to the results obtained by Kogelnik's expressions in index-matched media showing good agreement. The comparison is also made for a reflection grating embedded in two media with different refractive indexes, showing good agreement with an FDTD method, but slight differences with respect to Kogelnik's Coupled Wave Theory.en
dc.description.sponsorshipThis work was supported by the "Ministerio de Ciencia e Innovación" of Spain under projects FIS2008-05856-C02-01 and FIS2008-05856-C02-02, and by the "Generalitat Valenciana" of Spain under project PROMETEO/2011/021.en
dc.languageengen
dc.publisherEMW Publishingen
dc.rights© Copyright 2011 EMW Publishing. All Rights Reserveden
dc.subjectMatrix methoden
dc.subjectReflection gratingsen
dc.subjectFDTDen
dc.subjectDiffraction gratingsen
dc.subject.otherFísica Aplicadaen
dc.subject.otherÓpticaen
dc.subject.otherElectromagnetismoen
dc.titleAnalysis of reflection gratings by means of a matrix method approachen
dc.typeinfo:eu-repo/semantics/articleen
dc.peerreviewedsien
dc.relation.publisherversionhttp://www.jpier.org/pier/pier.php?paper=11050403en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//FIS2008-05856-C02-01-
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//FIS2008-05856-C02-02-
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