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

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 exten...

Full description

Saved in:
Bibliographic Details
Published in:IEEE photonics technology letters 2008-07, Vol.20 (13), p.1205-1207
Main Authors: Godoy-Rubio, R., Ortega-Monux, A., Wanguemert-Perez, J.G., Molina-Fernendez, I.
Format: Article
Language:English
Subjects:
Convergence
Eigenmode solvers
Eigenvalues and eigenfunctions
Electromagnetic waveguides
Fourier analysis
Fourier series
Gibbs phenomenon
Mathematical analysis
numerical modeling
Optical waveguides
Photonics
Resultants
Silicon on insulator technology
Solvers
spectrum-splitting (SS) technique
Testing
Transmission line matrix methods
Two dimensional
Two dimensional displays
Wire
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1041-1135
1941-0174
DOI:10.1109/LPT.2008.925512