On Localizing and Concentrating Electromagnetic Fields

Bastian Harrach, Yi Hsuan Lin, Hongyu Liu

Research output: Contribution to journalJournal articlepeer-review

20 Citations (Scopus)
17 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)2558-2574
Number of pages17
JournalSIAM Journal on Applied Mathematics
Issue number5
Publication statusPublished - 25 Sept 2018

Scopus Subject Areas

  • Applied Mathematics

User-Defined Keywords

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


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