Analysis of periodic anisotropic media by means of split-field FDTD method and GPU computing

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Title: Analysis of periodic anisotropic media by means of split-field FDTD method and GPU computing
Authors: Francés, Jorge | Bleda, Sergio | Alvarez, Mariela L. | Martínez Guardiola, Francisco Javier | Márquez, Andrés | Neipp, Cristian | 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. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías
Keywords: SF-FDTD | GPU computing | Anistropic media | Diffraction efficiency | Polarization gratings | Binary phase gratings
Knowledge Area: Óptica | Física Aplicada | Electromagnetismo
Date Created: Jun-2012
Issue Date: 15-Oct-2012
Publisher: SPIE, The International Society for Optics and Photonics
Citation: FRANCÉS MONLLOR, Jorge, et al. "Analysis of periodic anisotropic media by means of split-field FDTD method and GPU computing". En: Optics and Photonics for Information Processing VI / edited by Abdul A. S. Awwal, Khan M. Iftekharuddin. Bellingham, Wash. : SPIE, 2012. (Proceedings of SPIE; Vol. 8498). ISBN 978-0-81949-215-9, pp. 84980K-1/9
Abstract: The implementation of the Split-Field Finite Difference Time-Domain (SP-FDTD) method in Graphics Processing Units is described in this work. This formalism is applied to light wave propagation through periodic media with arbitrary anisotropy. The anisotropic media is modeled by means of a permittivity tensor with non-diagonal elements and absorbing boundary conditions are also considered. The split-field technique and the periodic boundary condition allow to consider a single period of the structure reducing the simulation grid. Nevertheless, the analysis of anisotropic media implies considering all the electromagnetic field components and the use of complex notation. These aspects reduce the computational efficiency of the numerical method compared to the isotropic and non-periodic implementation. With the upcoming of the new generation of General-Purpose Computing on Graphics Units many scientific applications have been accelerated and others are being developed into this new parallel digital computing architecture. Specifically, the implementation of the SP-FDTD in the Fermi family of GPUs of NVIDIA is presented. An analysis of the performance of this implementation is done and several applications have been considered in order to estimate the possibilities provided by both the formalism and the implementation into GPU. The formalism has been used for analyzing different structures and phenomena: binary phase gratings and twisted-nematic liquid crystal cells. The numerical predictions obtained by means of the FDTD method here implemented are compared with theoretical curves achieving good results, thus validating the accuracy and the potential of the implementation.
Sponsor: This work was supported by the "Ministerio de Economía y Competitividad" of Spain under projects FIS2011-29803-C02-01, FIS2011-29803-C02-02 and by the "Generalitat Valenciana" of Spain under projects PROMETEO/2011/021, ISIC/2012/013 and GV/2012/099.
ISBN: 978-0-81949-215-9
ISSN: 0277-786X
DOI: 10.1117/12.929545
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. 8498, 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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