ON LOCALIZING AND CONCENTRATING ELECTROMAGNETIC FIELDS

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

21 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)2558-2574
Journal / PublicationSIAM Journal on Applied Mathematics
Volume78
Issue number5
Online published25 Sept 2018
Publication statusOnline published - 25 Sept 2018

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.

Research Area(s)

  • Anisotropic Maxwell system, Electromagnetic waves, Localizing and concentration, Partial data, Runge approximation

Citation Format(s)

ON LOCALIZING AND CONCENTRATING ELECTROMAGNETIC FIELDS. / HARRACH, BASTIAN ; LIN, YI-HSUAN; LIU, HONGYU.
In: SIAM Journal on Applied Mathematics, Vol. 78, No. 5, 25.09.2018, p. 2558-2574.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review