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arXiv · 1803.02948

On localizing and concentrating electromagnetic fields

Bastian Harrach·Yi-Hsuan Lin·Hongyu Liu
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Abstract

We consider field localizing and concentration of electromagnetic waves governed by the time-harmonic anisotropic Maxwell system in a bounded domain. It is shown that there always exist certain boundary inputs which can generate electromagnetic fields with energy localized/concentrated in a given subdomain while nearly vanishing in another given subdomain. The theoretical results may have potential applications in telecommunication, inductive charging and medical therapy. We also derive a related Runge approximation result for the time-harmonic anisotropic Maxwell system with partial boundary data.

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Bastian Harrach, Yi-Hsuan Lin, Hongyu Liu. 2018-03-08. On localizing and concentrating electromagnetic fields. https://doi.org/10.1137/18m1173605

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