On définit la matrice de diffusion dans un milieu stratifié perturbé. Pour une classe de perturbations, on démontre que la partie principale est un opérateur intégral de Fourier sur la sphère à l'infini. On développe un principe d'absorption limite raffiné. Dans de nombreux cas, le symbole de la matrice de diffusion détermine le comportement asymptotique des perturbations.
The scattering matrix is defined on a perturbed stratified medium. For a class of perturbations, its main part at fixed energy is a Fourier integral operator on the sphere at infinity. Proving this is facilitated by developing a refined limiting absorption principle. The symbol of the scattering matrix determines the asymptotics of a large class of perturbations.
@article{AIF_2003__53_2_565_0,
author = {Christiansen, Tanya and Joshi, M. S.},
title = {Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations},
journal = {Annales de l'Institut Fourier},
volume = {53},
year = {2003},
pages = {565-624},
doi = {10.5802/aif.1953},
mrnumber = {1990007},
zbl = {01940705},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_2003__53_2_565_0}
}
Christiansen, Tanya; Joshi, M. S. Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations. Annales de l'Institut Fourier, Tome 53 (2003) pp. 565-624. doi : 10.5802/aif.1953. http://gdmltest.u-ga.fr/item/AIF_2003__53_2_565_0/
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