Computing guided modes for an unbounded stratified medium in integrated optics

Authors
Mahe, F
Citation
F. Mahe, Computing guided modes for an unbounded stratified medium in integrated optics, ESAIM-M MOD, 35(4), 2001, pp. 799-824
Citations number
19
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
35
Issue
4
Year of publication
2001
Pages
799 - 824
Database
ISI
SICI code
0764-583X(200107/08)35:4<799:CGMFAU>2.0.ZU;2-Q
Abstract
We present a finite element method to compute guided modes in a stratified medium. The major difficulty to overcome is related to the unboundedness of the stratified medium. Our method is an alternative to the use of artifici al boundary conditions and to the use of integral representation formulae. The domain is bounded in such a way we can write the solution on its latera l boundaries in terms of Fourier series. The series is then truncated for t he computations over the bounded domain. The problem is scalar and 2-dimens ional.