Title :
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
fDate :
7/1/2008 12:00:00 AM
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;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2008.925512
