On localizing and concentrating electromagnetic fields

TL;DR

This paper demonstrates the theoretical possibility of localizing and concentrating electromagnetic fields within specific regions using boundary inputs, with potential applications in telecommunications, inductive charging, and medical therapy.

Contribution

It introduces a method to generate electromagnetic fields with localized energy in a subdomain while minimizing it elsewhere, based on new theoretical results for the anisotropic Maxwell system.

Findings

Existence of boundary inputs for field localization

Field concentration in specified subdomains

Runge approximation for Maxwell system with partial data

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.