Approximate cloaking for the full wave equation via change of variables: The Drude–Lorentz model
https://doi.org/10.1016/j.matpur.2016.03.012Publisher, magazine: ,
Publication year: 2016
Lưu Trích dẫn Chia sẻAbstract
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.
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