Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

On Localizing and Concentrating Electromagnetic Fields

Language

English

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 the 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.

Keywords

electromagnetic waves, localizing and concentration, anisotropic Maxwell system, Runge approximation, partial data

Publication Date

2018

Source Publication Title

SIAM Journal on Applied Mathematics

Volume

78

Issue

5

Start Page

2558

End Page

2574

Publisher

Society for Industrial and Applied Mathematics

DOI

10.1137/18M1173605

Link to Publisher's Edition

https://doi.org/10.1137/18M1173605

ISSN (print)

00361399

ISSN (electronic)

1095712X

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