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High frequency limit of Helmholtz equations: the case of a discontinuous index
Elise Fouassier
Journées équations aux dérivées partielles (2006), Talk no. 4, 19 p.
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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.

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Published online: 2008-12-02
DOI: 10.5802/jedp.31
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@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},
     note = {talk: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/}
}
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Elise Fouassier. High frequency limit of Helmholtz equations: the case of a discontinuous index. Journées équations aux dérivées partielles (2006), Talk no. 4, 19 p. doi : 10.5802/jedp.31. https://jedp.centre-mersenne.org/articles/10.5802/jedp.31/
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