Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations

Tanya Christiansen[1]; M. S. Joshi[2]

  • [1] University of Missouri, Department of Mathematics, 201 Math Sciences Bldg, Columbia MO 65211 (USA)
  • [2] Royal Bank of Scotland, Group Risk, Waterhouse Square, 138-142 Holborn, London EC1N 2TH (Grande-Bretagne)

Annales de l’institut Fourier (2003)

  • Volume: 53, Issue: 2, page 565-624
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Christiansen, Tanya, and Joshi, M. S.. "Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations." Annales de l’institut Fourier 53.2 (2003): 565-624. <http://eudml.org/doc/116046>.

@article{Christiansen2003,
abstract = {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.},
affiliation = {University of Missouri, Department of Mathematics, 201 Math Sciences Bldg, Columbia MO 65211 (USA); Royal Bank of Scotland, Group Risk, Waterhouse Square, 138-142 Holborn, London EC1N 2TH (Grande-Bretagne)},
author = {Christiansen, Tanya, Joshi, M. S.},
journal = {Annales de l’institut Fourier},
keywords = {stratified media; scattering matrix; inverse problems; limiting absorption principle},
language = {eng},
number = {2},
pages = {565-624},
publisher = {Association des Annales de l'Institut Fourier},
title = {Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations},
url = {http://eudml.org/doc/116046},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Christiansen, Tanya
AU - Joshi, M. S.
TI - Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations
JO - Annales de l’institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 2
SP - 565
EP - 624
AB - 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.
LA - eng
KW - stratified media; scattering matrix; inverse problems; limiting absorption principle
UR - http://eudml.org/doc/116046
ER -

References

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