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- W2309103022 abstract "This paper concerns approximate cloaking by mapping for a full, but scalar wave equation, when one allows for physically relevant frequency dependence of the material properties of the cloak. The paper is a natural continuation of [20] , but here we employ the Drude–Lorentz model in the cloaking layer, that is otherwise constructed by an approximate blow up transformation of the type introduced in [10] . The central mathematical problem is to analyze the effect of a small inhomogeneity in the context of this non-local full wave equation. L'article traite du « cloaking » approché par changement de variables pour l'équation des ondes scalaire avec amortissement. Il poursuit l'étude présentée dans [20] par l'étude d'un modèle réaliste et pertinent dans lesquels les coefficients constitutifs du milieu constituant la cape d'invisibilité dépendent de la fréquence. En l'occurence le dispositif est construit par une transformation asymptotiquement singulière analogue à celles introduites dans [10] , cependant la région occupée par la cape d'invisibilité est décrite par un modèle de Drude–Lorentz. La question mathématique centrale de l'article est l'analyse de l'effet d'une inhomogénéité de petite taille dans le contexte de l'équation des ondes résultante, non locale avec amortissement." @default.
- W2309103022 created "2016-06-24" @default.
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- W2309103022 date "2016-11-01" @default.
- W2309103022 modified "2023-10-15" @default.
- W2309103022 title "Approximate cloaking for the full wave equation via change of variables: The Drude–Lorentz model" @default.
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- W2309103022 doi "https://doi.org/10.1016/j.matpur.2016.03.012" @default.
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