@article{d076abd8ce084838b2137f7cf82d0e0b,
title = "On localizing and concentrating electromagnetic fields",
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.",
keywords = "Anisotropic Maxwell system, Electromagnetic waves, Localizing and concentration, Partial data, Runge approximation",
author = "Bastian Harrach and Lin, {Yi Hsuan} and Hongyu LIU",
note = "Funding Information: \ast Received by the editors March 2, 2018; accepted for publication (in revised form) July 23, 2018; published electronically September 25, 2018. http://www.siam.org/journals/siap/78-5/M117360.html Funding: The third author's work was supported by the FRG and startup grants from Hong Kong Baptist University, and Hong Kong RGC General Research Funds, 12302415 and 12302017. \dagger Institute for Mathematics, Goethe University Frankfurt, Frankfurt, 60325, Germany (harrach@ math.uni-frankfurt.de). \ddagger Institute for Advanced Study, The Hong Kong University Science and Technology, Clear Water Bay, Kowloon, Hong Kong (yihsuanlin3@gmail.com). \S Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong SAR, China (hongyu.liuip@gmail.com, hongyuliu@hkbu.edu.hk).",
year = "2018",
doi = "10.1137/18M1173605",
language = "English",
volume = "78",
pages = "2558--2574",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "5",
}