Analysis of reflection gratings by means of a matrix method approach

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Title: Analysis of reflection gratings by means of a matrix method approach
Authors: Francés, Jorge | Neipp, Cristian | Márquez, Andrés | Beléndez, Augusto | Pascual, Inmaculada
Research Group/s: Holografía y Procesado Óptico
Center, Department or Service: Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía | Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías
Keywords: Matrix method | Reflection gratings | FDTD | Diffraction gratings
Knowledge Area: Física Aplicada | Óptica | Electromagnetismo
Date Created: 4-May-2011
Issue Date: 30-Jun-2011
Publisher: EMW Publishing
Citation: FRANCÉS 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. 167-183
Abstract: In 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.
Sponsor: This 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.
ISSN: 1070-4698 (Print) | 1559-8985 (Online)
Language: eng
Type: info:eu-repo/semantics/article
Rights: © Copyright 2011 EMW Publishing. All Rights Reserved
Peer Review: si
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INV - Acústica Aplicada - Artículos de Revistas

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