Cloaking by shells with radially inhomogeneous anisotropic permittivity
Cloaking by shells with radially inhomogeneous anisotropic permittivity
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.
Journal Article, Research Support, Non-U.S. Gov't
A21-A32
Reshetnyak, V. Yu.
61e40ffa-1044-48ce-81aa-87a4eafb1765
Pinkevych, I.P.
07f566ed-7a1c-492d-a11e-3ff1e941e725
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Evans, Dean R.
8e8da0c4-21ae-4c01-a746-15caca1d7e7f
25 January 2016
Reshetnyak, V. Yu.
61e40ffa-1044-48ce-81aa-87a4eafb1765
Pinkevych, I.P.
07f566ed-7a1c-492d-a11e-3ff1e941e725
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Evans, Dean R.
8e8da0c4-21ae-4c01-a746-15caca1d7e7f
Reshetnyak, V. Yu., Pinkevych, I.P., Sluckin, T.J. and Evans, Dean R.
(2016)
Cloaking by shells with radially inhomogeneous anisotropic permittivity.
Optics Express, 24 (2), .
(doi:10.1364/OE.24.000A21).
Abstract
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.
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Accepted/In Press date: 9 November 2015
e-pub ahead of print date: 30 November 2015
Published date: 25 January 2016
Keywords:
Journal Article, Research Support, Non-U.S. Gov't
Organisations:
Applied Mathematics
Identifiers
Local EPrints ID: 407367
URI: http://eprints.soton.ac.uk/id/eprint/407367
ISSN: 1094-4087
PURE UUID: 9b77b442-eb5c-4c7a-84cb-c094566fbe99
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Date deposited: 04 Apr 2017 01:08
Last modified: 16 Mar 2024 02:32
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Contributors
Author:
V. Yu. Reshetnyak
Author:
I.P. Pinkevych
Author:
Dean R. Evans
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