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

Fouassier, Elise

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.

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