| Issue |
ESAIM: M2AN
Volume 35, Number 4, July-August 2001
|
|
|---|---|---|
| Page(s) | 799 - 824 | |
| DOI | https://doi.org/10.1051/m2an:2001103 | |
| Published online | 15 April 2002 | |
Computing guided modes for an unbounded stratified medium in integrated optics
IRMAR, Campus de Beaulieu, Université de Rennes 1, 35042 Rennes Cedex, France. (Fabrice.Mahe@univ-rennes1.fr)
Received:
4
April
2000
Revised:
4
April
2001
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 artificial 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 lateral boundaries in terms of Fourier series. The series is then truncated for the computations over the bounded domain. The problem is scalar and 2-dimensional.
Mathematics Subject Classification: 65N30 / 65N25 / 35Q60 / 78M10 / 68U20
Key words: Finite element method / exact boundary condition / unbounded domain / stratified medium / guided modes / optics / series expansion.
© EDP Sciences, SMAI, 2001
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