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.
Original language | English (US) |
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Pages (from-to) | 797-836 |
Number of pages | 40 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 106 |
Issue number | 5 |
DOIs | |
State | Published - Nov 1 2016 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
Keywords
- Approximate cloaking
- Drude–Lorentz model
- Small inhomogeneity
- Wave equation