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.
@article{JEDP_2006____A4_0,
author = {Elise Fouassier},
title = {High frequency limit of {Helmholtz} equations: the case of a~discontinuous index},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {4},
publisher = {Groupement de recherche 2434 du CNRS},
year = {2006},
doi = {10.5802/jedp.31},
language = {en},
url = {https://jedp.centre-mersenne.org/articles/10.5802/jedp.31/}
}
TY - JOUR AU - Elise Fouassier TI - High frequency limit of Helmholtz equations: the case of a discontinuous index JO - Journées équations aux dérivées partielles PY - 2006 PB - Groupement de recherche 2434 du CNRS UR - https://jedp.centre-mersenne.org/articles/10.5802/jedp.31/ DO - 10.5802/jedp.31 LA - en ID - JEDP_2006____A4_0 ER -
%0 Journal Article %A Elise Fouassier %T High frequency limit of Helmholtz equations: the case of a discontinuous index %J Journées équations aux dérivées partielles %D 2006 %I Groupement de recherche 2434 du CNRS %U https://jedp.centre-mersenne.org/articles/10.5802/jedp.31/ %R 10.5802/jedp.31 %G en %F JEDP_2006____A4_0
Elise Fouassier. High frequency limit of Helmholtz equations: the case of a discontinuous index. Journées équations aux dérivées partielles (2006), article no. 4, 19 p. doi : 10.5802/jedp.31. https://jedp.centre-mersenne.org/articles/10.5802/jedp.31/
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