Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

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. (C) 2016 Elsevier Masson SAS. All rights reserved.


Published in:
Journal de Mathematiques Pures et Appliquees, 106, 5, 797-836
Year:
2016
Publisher:
Amsterdam, Elsevier
ISSN:
0021-7824
Keywords:
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 Record created 2016-11-21, last modified 2018-01-28

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