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Abstract |
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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 "Approximate cloaking for the full wave equation via change of variables" by H.-M. Nguyen and M.S. Vogelius, 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 earlier work of the authors. The central mathematical problem translates into the analysis of the effect of a small inhomogeneity in the context of a non-local full wave equation.
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