Geodesic
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 Cet article a éte moissonné depuis la source Numdam

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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.

Classification : 65N30, 65N25, 35Q60, 78M10, 68U20
Keywords: finite element method, exact boundary condition, unbounded domain, stratified medium, guided modes, optics, series expansion 
@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},
     year = {2001},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {4},
     mrnumber = {1863281},
     zbl = {0993.78017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_799_0/}
}
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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/