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

fYear

2006

fDate

3-6 Sept. 2006

Firstpage

113

Lastpage

117

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications Symposium, 2006 International

Conference_Location

Fortaleza, Ceara

Print_ISBN

978-85-89748-04-9

Electronic_ISBN

978-85-89748-04-9

Type

conf

DOI

10.1109/ITS.2006.4433253

Filename

4433253