Anomalous localized resonance using a folded geometry in three dimensions

Author:

Ammari Habib1,Ciraolo Giulio2,Kang Hyeonbae3,Lee Hyundae3,Milton Graeme W.4

Affiliation:

1. Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d'Ulm, 75005 Paris, France

2. Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy

3. Department of Mathematics, Inha University, Incheon 402-751, Korea

4. Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA

Abstract

If a body of dielectric material is coated by a plasmonic structure of negative dielectric material with non-zero loss parameter, then cloaking by anomalous localized resonance (CALR) may occur as the loss parameter tends to zero. If the coated structure is circular (two dimensions) and the dielectric constant of the shell is a negative constant (with loss parameter), then CALR occurs, and if the coated structure is spherical (three dimensions), then CALR does not occur. The aim of this paper is to show that 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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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