Corrected coupled-wave theory for non-slanted reflection gratings

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Title: Corrected coupled-wave theory for non-slanted reflection gratings
Authors: Estepa Espada, Luis Alberto | Neipp, Cristian | Francés, Jorge | Márquez, Andrés | Bleda, Sergio | Pérez Molina, Manuel | Ortuño, Manuel | Gallego, Sergi
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. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías
Keywords: Holography | Matrix method | Coupled wave theory | Volume phase grating | Diffraction grating | Diffraction efficiency
Knowledge Area: Física Aplicada | Óptica | Electromagnetismo
Date Created: Jul-2011
Issue Date: 5-Oct-2011
Publisher: SPIE, The International Society for Optical Engineering
Citation: ESTEPA ESPADA, Luis Alberto, et al. "Corrected coupled-wave theory for non-slanted reflection gratings". En: Physical Optics / edited by Daniel G. Smith, Frank Wyrowski, Andreas Erdmann. Bellingham, Wash. : SPIE, 2011. (Proceedings of SPIE; Vol. 8171). ISBN 978-0-81948-797-1, pp. 81710R-1/10
Abstract: In this work we present an analysis of non-slanted reflection gratings by using a corrected Coupled Wave Theory which takes into account boundary conditions. It is well known that Kogelnik's Coupled Wave Theory predicts with great accuracy the response of the efficiency of the zero and first order for volume phase gratings, for both reflection and transmission gratings. Nonetheless, since this theory disregard the second derivatives in the coupled wave equations derived from Maxwell equations, it doesn't account for boundary conditions. Moreover only two orders are supposed, so when either the thickness is low or when high refractive index high are recorded in the element Kogelnik's Theory deviates from the expected results. In Addition, for non-slanted reflection gratings, the natural reflected wave superimpose the reflection order predicted by Coupled Wave theories, so the reflectance cannot be obtained by the classical expression of Kogelnik's Theory for reflection gratings. In this work we correct Kogelnik's Coupled Wave Theory to take into account these issues, the results are compared to those obtained by a Matrix Method, showing good agreement between both theories.
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.
ISBN: 978-0-81948-797-1
ISSN: 0277-786X
DOI: 10.1117/12.896877
Language: eng
Type: info:eu-repo/semantics/article
Rights: Copyright 2011 Society of Photo-Optical Instrumentation Engineers. This paper was published in Proceedings of SPIE, vol. 8171, and is made available as an electronic reprint with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
Peer Review: si
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