6533b7defe1ef96bd1276864
RESEARCH PRODUCT
Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking by anomalous localized resonance II
H AmmariH KangH LeeGw MiltonGiulio Ciraolosubject
Anomalous localized resonance plasmonic materials quasi-static cloaking Neumann-Poincaré operatordescription
If a body of dielectric material is coated by a plasmonic structure of negative dielectric constant with nonzero loss parameter, then cloaking by anomalous localized resonance (CALR) may occur as the loss parameter tends to zero. The aim of this paper is to investigate this phenomenon in two and three dimensions when the coated structure is radial, and the core, shell and matrix are isotropic materials. In two dimensions, we show that if the real part of the permittivity of the shell is $-1$ (under the assumption that the permittivity of the background is $1$), then CALR takes place. If it is different from $-1$, then CALR does not occur. In three dimensions, we show that CALR does not occur. The analysis of this paper reveals that occurrence of CALR is determined by the eigenvalue distribution of the Neumann-Poincaré-type operator associated with the structure.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 | Inverse Problems and Applications |