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

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.

DOI : 10.5802/jedp.31
Fouassier, Elise 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
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Fouassier, Elise. 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. http://archive.numdam.org/articles/10.5802/jedp.31/

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