Efficient split eld FDTD analysis of third-order nonlinear materials in two-dimensionally periodic media

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Title: Efficient split eld FDTD analysis of third-order nonlinear materials in two-dimensionally periodic media
Authors: Francés, Jorge | Bleda, Sergio | Bej, Subhajit | Tervo, Jani | Navarro-Fuster, Víctor | Fenoll Gambín, Sandra | Martínez Guardiola, Francisco Javier | Neipp, Cristian
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 | University of Eastern Finland. Department of Physics and Mathematics
Keywords: Nonlinear Optics | Finite-Difference Time-Domain | Fourier Modal Method | Dielectric binary grating
Knowledge Area: Óptica | Física Aplicada | Teoría de la Señal y Comunicaciones
Date Created: 5-Mar-2016
Issue Date: 27-Apr-2016
Publisher: SPIE, The International Society for Optics and Photonics
Citation: Jorge Francés ; Sergio Bleda ; Subhajit Bej ; Jani Tervo ; Víctor Navarro-Fuster, et al. " Efficient split field FDTD analysis of third-order nonlinear materials in two-dimensionally periodic media ", Proc. SPIE 9889, Optical Modelling and Design IV, 988908 (April 27, 2016); doi:10.1117/12.2227542
Abstract: In this work the split-field finite-difference time-domain method (SF-FDTD) has been extended for the analysis of two-dimensionally periodic structures with third-order nonlinear media. The accuracy of the method is verified by comparisons with the nonlinear Fourier Modal Method (FMM). Once the formalism has been validated, examples of one- and two-dimensional nonlinear gratings are analysed. Regarding the 2D case, the shifting in resonant waveguides is corroborated. Here, not only the scalar Kerr effect is considered, the tensorial nature of the third-order nonlinear susceptibility is also included. The consideration of nonlinear materials in this kind of devices permits to design tunable devices such as variable band filters. However, the third-order nonlinear susceptibility is usually small and high intensities are needed in order to trigger the nonlinear effect. Here, a one-dimensional CBG is analysed in both linear and nonlinear regime and the shifting of the resonance peaks in both TE and TM are achieved numerically. The application of a numerical method based on the finite- difference time-domain method permits to analyse this issue from the time domain, thus bistability curves are also computed by means of the numerical method. These curves show how the nonlinear effect modifies the properties of the structure as a function of variable input pump field. When taking the nonlinear behaviour into account, the estimation of the electric field components becomes more challenging. In this paper, we present a set of acceleration strategies based on parallel software and hardware solutions.
Sponsor: This work was supported by the Ministerio de Economa y Competitividad of Spain under project FIS2014-56100- C2-1-P and by the Generalitat Valenciana of Spain under projects PROMETEOII/2015/015, ISIC/2012/013 and GV/2014/076.
URI: http://hdl.handle.net/10045/57591
ISBN: 978-1-51-060134-5
ISSN: 0277-786X
DOI: 10.1117/12.2227542
Language: eng
Type: info:eu-repo/semantics/conferenceObject
Rights: Copyright 2016 Society of Photo-Optical Instrumentation Engineers. This paper was published in Proceedings of SPIE, vol. 9889, 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
Publisher version: http://dx.doi.org/10.1117/12.2227542
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