English

Anomalous localized resonance using a folded geometry in three dimensions

Mathematical Physics 2015-06-12 v1 Analysis of PDEs math.MP

Abstract

If a body of dielectric material is coated by a plasmonic structure of negative dielectric material with nonzero loss parameter, then cloaking by anomalous localized resonance (CALR) may occur as the loss parameter tends to zero. It was proved in other papers by authors that if the coated structure is circular (2D) and dielectric constant of the shell is a negative constant (with loss parameter), then CALR occurs, and if the coated structure is spherical (3D), then CALR does not occur. The aim of this paper is to show that the CALR takes place if the spherical coated structure has a specially designed anisotropic dielectric tensor. The anisotropic dielectric tensor is designed by unfolding a folded geometry.

Keywords

Cite

@article{arxiv.1301.5712,
  title  = {Anomalous localized resonance using a folded geometry in three dimensions},
  author = {Habib Ammari and Giulio Ciraolo and Hyeonbae Kang and Hyundae Lee and Graeme W. Milton},
  journal= {arXiv preprint arXiv:1301.5712},
  year   = {2015}
}
R2 v1 2026-06-21T23:14:34.981Z