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

Authors: Nguyễn Hoài Minh, Michael Vogelius,

https://doi.org/10.1016/j.matpur.2016.03.012

Publisher, magazine: ,

Publication year: 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.

Tags: Drude–Lorentz model; Wave equation; Approximate cloaking; Small inhomogeneity.