On quasi-static cloaking due to anomalous localized resonance in $\mathbb{R}^3$
Analysis of PDEs
2015-03-25 v2 Mathematical Physics
math.MP
Abstract
This work concerns the cloaking due to anomalous localized resonance (CALR) in the quasi-static regime. We extend the related two-dimensional studies in [2,10] to the three-dimensional setting. CALR is shown not to take place for the plasmonic configuration considered in [2,10] in the three-dimensional case. We give two different constructions which ensure the occurrence of CALR. There may be no core or an arbitrary shape core for the cloaking device. If there is a core, then the dielectric distribution inside it could be arbitrary.
Keywords
Cite
@article{arxiv.1502.06679,
title = {On quasi-static cloaking due to anomalous localized resonance in $\mathbb{R}^3$},
author = {Hongjie Li and Jingzhi Li and Hongyu Liu},
journal= {arXiv preprint arXiv:1502.06679},
year = {2015}
}