On localizing and concentrating electromagnetic fields
Analysis of PDEs
2018-11-19 v1
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.
Cite
@article{arxiv.1803.02948,
title = {On localizing and concentrating electromagnetic fields},
author = {Bastian Harrach and Yi-Hsuan Lin and Hongyu Liu},
journal= {arXiv preprint arXiv:1803.02948},
year = {2018}
}