Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model
Nguyen, Hoai-Minh; Vogelius, Michael S.
2016

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

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Title Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model
Author(s) Nguyen, Hoai-Minh ; Vogelius, Michael S.
Published in Journal de Mathematiques Pures et Appliquees
Pagination 40
Volume 106
Issue 5
Pages 797-836
Date 2016
Publisher Amsterdam, Elsevier
ISSN 0021-7824
Keywords
DOI https://doi.org/10.1016/j.matpur.2016.03.012
Other identifier(s) View record in Web of Science
Laboratories CAMA
Record Appears in Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAMA - Chair of Analysis and Applied Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2016-11-21

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