Title :
Novel frequency domain finite element formulation for optical circuits in nonlinear photonic crystals
Author :
Rubio-Mercedes, C.E. ; Rodríguez-Esquerre, V.F. ; Hernández-Figueroa, H.E.
Author_Institution :
State Univ. of Mato Grosso do Sul, Dourados
Abstract :
An efficient technique based on the finite element method in the frequency domain for the analysis of nonlinear photonic crystals based optical circuits is here presented. The solution of the nonlinear Helmholtz equation is obtained by an iterative process involving linear problem solutions. The present approach uses isoparametric curvilinear elements for the spatial discretization and perfectly matched layers to truncate the computational domain. Numerical examples are presented in order to validate the efficiency of the present method.
Keywords :
Helmholtz equations; finite element analysis; frequency-domain analysis; nonlinear equations; optical materials; photonic crystals; frequency domain finite element formulation; isoparametric curvilinear elements; iterative process; nonlinear Helmholtz equation; nonlinear photonic crystals; optical circuits; perfect matched layer; Circuits; Finite element methods; Frequency domain analysis; Nonlinear optical devices; Nonlinear optics; Optical propagation; Optical refraction; Optical variables control; Personal communication networks; Photonic crystals; Nonlinear photonic crystals; finite element method; frequency domain; optical transistors; resonant cavities;
Conference_Titel :
Telecommunications Symposium, 2006 International
Conference_Location :
Fortaleza, Ceara
Print_ISBN :
978-85-89748-04-9
Electronic_ISBN :
978-85-89748-04-9
DOI :
10.1109/ITS.2006.4433253
