Open AccessCloaking by shells with radially inhomogeneous anisotropic permittivity
Author(s) -
Victor Reshetnyak,
I. P. Pinkevych,
T. J. Sluckin,
Dean R. Evans
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.000a21
Subject(s) - cloaking , permittivity , cloak , shell (structure) , electric field , physics , anisotropy , optics , isotropy , dielectric , metamaterial , classical mechanics , materials science , quantum mechanics , composite material
We model electromagnetic cloaking of a spherical or cylindrical nanoparticle enclosed by an optically anisotropic and optically inhomogeneous symmetric shell, by examining its electric response in a quasi-static uniform electric field. When the components of the shell permittivity are radially anisotropic and power-law dependent (ε~r(m)) whereris distance to the shell center, and m a positive or negative exponent which can be varied), the problem is analytically tractable. Formulas are calculated for the degree of cloaking in the general case, allowing the determination of a dielectric condition for the shells to be used as an invisibility cloak. Ideal cloaking is known to require that homogeneous shells exhibit an infinite ratio of tangential and radial components of the shell permittivity, but for radially inhomogeneous shells ideal cloaking can occur even for finite values of this ratio.