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arXiv 2000-11-01 0 views

Scattering on stratified media: the micro-local properties of the scattering matrix and recovering asymptotics of perturbations

Christiansen, T. J. · Joshi, M. S.

Original · EN

The fixed energy scattering matrix is defined on a perturbed stratified medium, and for a class of perturbations, its main part is shown to be a Fourier integral operator on the sphere at infinity. This is facilitated by developing a refined limiting absorption principle. The symbol of the scattering matrix is shown to determine the asymptotics of a large class of perturbations.

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