Comparison of simplified theories in the analysis of the diffraction efficiency in surface-relief gratings

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Title: Comparison of simplified theories in the analysis of the diffraction efficiency in surface-relief gratings
Authors: Francés, Jorge | Neipp, Cristian | Gallego, Sergi | Bleda, Sergio | Márquez, Andrés | Pascual, Inmaculada | Beléndez, Augusto
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: Diffraction | Finite difference methods | Finite-difference time-domain method | Scalar diffraction theory | Graphics processing units
Knowledge Area: Óptica | Física Aplicada | Electromagnetismo
Date Created: Feb-2012
Issue Date: 1-Jun-2012
Publisher: SPIE, The International Society for Optics and Photonics
Citation: FRANCÉS MONLLOR, Jorge, et al. "Comparison of simplified theories in the analysis of the diffraction efficiency in surface-relief gratings". En: Optical Modelling and Design II / edited by Frank Wyrowski, John T. Sheridan, Jani Tervo, Youri Meuret. Bellingham, Wash. : SPIE, 2012. (Proceedings of SPIE; Vol. 8429). ISBN 978-0-81949-121-3, pp. 84291U-1/10
Abstract: In this work a set of simplified theories for predicting diffraction efficiencies of diffraction phase and triangular gratings are considered. The simplified theories applied are the scalar diffraction and the effective medium theories. These theories are used in a wide range of the value Λ/λ and for different angles of incidence. However, when 1 ≤ Λ/λ ≤ 10, the behaviour of the diffraction light is difficult to understand intuitively and the simplified theories are not accurate. The accuracy of these formalisms is compared with both rigorous coupled wave theory and the finite-difference time domain method. Regarding the RCWT, the influence of the number of harmonics considered in the Fourier basis in the accuracy of the model is analyzed for different surface-relief gratings. In all cases the FDTD method is used for validating the results of the rest of theories. The FDTD method permits to visualize the interaction between the electromagnetic fields within the whole structure providing reliable information in real time. The drawbacks related with the spatial and time resolution of the finite-difference methods has been avoided by means of massive parallel implementation based on graphics processing units. Furthermore, analysis of the performance of the parallel method is shown obtaining a severe improvement respect to the classical version of the FDTD method.
Sponsor: This work was supported by the “Ministerio de Economía y Competitividad” of Spain under projects FIS2011-29803-C02-01 and FIS2011-29803-C02-02 and by the “Generalitat Valenciana” of Spain under project PROMETEO/2011/021.
ISBN: 978-0-81949-121-3
ISSN: 0277-786X
DOI: 10.1117/12.922332
Language: eng
Type: info:eu-repo/semantics/article
Rights: Copyright 2012 Society of Photo-Optical Instrumentation Engineers. This paper was published in Proceedings of SPIE, vol. 8429, 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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