High frequency limit of Helmholtz equations: the case of a discontinuous index

Elise Fouassier[1]

  • [1] UMPA, ENS Lyon, 46 allée d’Italie, 69364 Lyon Cedex 7, France et IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France

Journées Équations aux dérivées partielles (2006)

  • page 1-19
  • ISSN: 0752-0360

Abstract

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In this text, we compute the high frequency limit of the Hemholtz equation with source term, in the case of a refraction index that is discontinuous along a sharp interface between two unbounded media. The asymptotic propagation of energy is studied using Wigner measures.

How to cite

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Fouassier, Elise. "High frequency limit of Helmholtz equations: the case of a discontinuous index." Journées Équations aux dérivées partielles (2006): 1-19. <http://eudml.org/doc/10622>.

@article{Fouassier2006,
abstract = {In this text, we compute the high frequency limit of the Hemholtz equation with source term, in the case of a refraction index that is discontinuous along a sharp interface between two unbounded media. The asymptotic propagation of energy is studied using Wigner measures.},
affiliation = {UMPA, ENS Lyon, 46 allée d’Italie, 69364 Lyon Cedex 7, France et IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France},
author = {Fouassier, Elise},
journal = {Journées Équations aux dérivées partielles},
language = {eng},
month = {6},
pages = {1-19},
publisher = {Groupement de recherche 2434 du CNRS},
title = {High frequency limit of Helmholtz equations: the case of a discontinuous index},
url = {http://eudml.org/doc/10622},
year = {2006},
}

TY - JOUR
AU - Fouassier, Elise
TI - High frequency limit of Helmholtz equations: the case of a discontinuous index
JO - Journées Équations aux dérivées partielles
DA - 2006/6//
PB - Groupement de recherche 2434 du CNRS
SP - 1
EP - 19
AB - In this text, we compute the high frequency limit of the Hemholtz equation with source term, in the case of a refraction index that is discontinuous along a sharp interface between two unbounded media. The asymptotic propagation of energy is studied using Wigner measures.
LA - eng
UR - http://eudml.org/doc/10622
ER -

References

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