On localizing and concentrating electromagnetic fields

Bastian Harrach, Yi-Hsuan Lin, Hongyu Liu

    Research output: Contribution to journalArticlepeer-review

    11 Scopus citations


    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
    StatePublished - 1 Jan 2018


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


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