Department of Mathematics
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.
electromagnetic waves, localizing and concentration, anisotropic Maxwell system, Runge approximation, partial data
Source Publication Title
SIAM Journal on Applied Mathematics
Society for Industrial and Applied Mathematics
Link to Publisher's Edition
Harrach, B., Lin, Y., & Liu, H. (2018). On Localizing and Concentrating Electromagnetic Fields. SIAM Journal on Applied Mathematics, 78 (5), 2558-2574. https://doi.org/10.1137/18M1173605