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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.
@article{M2AN_2001__35_4_799_0,
author = {Mah\'e, Fabrice},
title = {Computing guided modes for an unbounded stratified medium in integrated optics},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {799--824},
publisher = {EDP-Sciences},
volume = {35},
number = {4},
year = {2001},
mrnumber = {1863281},
zbl = {0993.78017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_799_0/}
}
TY - JOUR AU - Mahé, Fabrice TI - Computing guided modes for an unbounded stratified medium in integrated optics JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2001 SP - 799 EP - 824 VL - 35 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_799_0/ LA - en ID - M2AN_2001__35_4_799_0 ER -
%0 Journal Article %A Mahé, Fabrice %T Computing guided modes for an unbounded stratified medium in integrated optics %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2001 %P 799-824 %V 35 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_799_0/ %G en %F M2AN_2001__35_4_799_0
Mahé, Fabrice. Computing guided modes for an unbounded stratified medium in integrated optics. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 4, pp. 799-824. http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_799_0/