2-D Extension of Spectrum-Splitting Fast-Fourier-Based Mode Solvers

Author

Godoy-Rubio, Rafael ; Ortega-Moñux, Alejandro ; Wangüemert-Pérez, Juan Gonzalo ; Molina-Fernánde, Iñigo

Author_Institution

Dept. de Ing. de Comun., Univ. de Malaga, Malaga

Volume

20

Issue

13

fYear

2008

fDate

7/1/2008 12:00:00 AM

Firstpage

1205

Lastpage

1207

Abstract

Recently, a one-dimensional fast-Fourier-transform-based mode solver (FFT-MS) incorporating spectrum-splitting (SS) techniques has been proposed. This method calculates discontinuous fields from its Fourier decomposition without being affected by Gibbs phenomenon. In this letter, we present an extension of this approach in order to solve two-dimensional (2-D) problems. The validation of the resultant 2-D full-vectorial SS-FFT-MS is carried out by means of the study of a silicon-on-insulator photonic wire waveguide. The results achieved in this test show a clear improvement with respect to those obtained with the preceding FFT-MS.

Keywords

fast Fourier transforms; optical waveguides; silicon-on-insulator; Fourier decomposition; Gibbs phenomenon; fast Fourier transform based mode solver; photonic wire waveguide; silicon-on-insulator; spectrum splitting techniques; Convergence; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Fourier series; Optical waveguides; Silicon on insulator technology; Testing; Transmission line matrix methods; Two dimensional displays; Wire; Eigenmode solvers; Fourier series; Gibbs phenomenon; numerical modeling; spectrum-splitting (SS) technique;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/LPT.2008.925512

Filename

4544836