High frequency limit of Helmholtz equations: refraction by sharp interfaces

DOI10.1016/j.matpur.2006.11.002zbMath1119.35096OpenAlexW1966123669MaRDI QIDQ871049

Elise Fouassier

Publication date: 15 March 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2006.11.002

zbMATH Keywords

refractiontransmission problemWigner transformSnell-Descartes semigroup.Wigner measure

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Semiclassical measure for the solution of the dissipative Helmholtz equation ⋮ Limit measures for the Helmholtz equation in the non-trapping case

Cites Work

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• High frequency limit of the Helmholtz equations.
• Asymptotic properties of solutions of differential equations with simple characteristics
• Morrey-Campanato estimates for Helmholtz equations
• On Wigner measures
• Ergodic properties of eigenfunctions for the Dirichlet problem
• Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary
• HIGH FREQUENCY LIMIT OF THE HELMHOLTZ EQUATION. II. SOURCE ON A GENERAL SMOOTH MANIFOLD
• Morrey–Campanato estimates for Helmholtz equations with two unbounded media

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