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arXiv · 1811.00406

Approximate cloaking for electromagnetic waves via transformation optics: cloaking vs infinite energy

Hoai-Minh Nguyen·Loc Tran
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Abstract

We study the approximate cloaking via transformation optics for electromagnetic waves in the time harmonic regime in which the cloaking device {\it only} consists of a layer constructed by the mapping technique. Due to the fact that no-lossy layer is required, resonance might appear and the analysis is delicate. We analyse both non-resonant and resonant cases. In particular, we show that the energy can blow up inside the cloaked region in the resonant case and/whereas cloaking is {\it achieved} in {\it both} cases. Moreover, the degree of visibility {\it depends} on the compatibility of the source inside the cloaked region and the system. These facts are new and distinct from known mathematical results in the literature.

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Hoai-Minh Nguyen, Loc Tran. 2018-11-01. Approximate cloaking for electromagnetic waves via transformation optics: cloaking vs infinite energy. https://arxiv.org/abs/1811.00406

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