Spectral theory of a Neumann-Poincaré-type operator and analysis of anomalous localized resonance II

Abstract

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.

References in corpus (6)

• Achieving transparency with plasmonic coatings
• A complementary media invisibility cloak that can cloak objects at a distance outside the cloaking shell
• Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem
• Broadband Exterior Cloaking
• Finite wavelength cloaking by plasmonic resonance
• Opaque perfect lenses

Cited by in corpus (3)

• Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem
• Enhancement of near-cloaking. Part II: the Helmholtz equation
• Spectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up