Anomalous localized resonance using a folded geometry in three dimensions

TL;DR

This paper demonstrates that anomalous localized resonance (CALR) can occur in three-dimensional spherical structures if they are designed with a specific anisotropic dielectric tensor derived from a folded geometry, expanding the conditions for CALR.

Contribution

It introduces a novel design of anisotropic dielectric tensors based on folded geometries to induce CALR in 3D spherical structures, where it previously did not occur.

Findings

CALR occurs with anisotropic dielectric tensors in 3D spherical structures.

Folded geometry design enables CALR in previously non-resonant configurations.

The approach broadens the understanding of conditions leading to cloaking via resonance.

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.