Cloaking and magnifying using radial anisotropy

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© 2013 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. http://scitation.aip.org/content/aip/journal/jap

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Volume Title

School of Electrical Engineering | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2013

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Mcode

Degree programme

Language

en

Pages

044110(1-9)

Series

Journal of Applied Physics, Volume 114, Issue 4

Abstract

This paper studies the electrostatic responses of a polarly radially anisotropic cylinder and a spherically radially anisotropic sphere. For both geometries, the permittivity components differ from each other in the radial and tangential directions. We show that choosing the ratio between these components in a certain way, these rather simple structures can be used in cloaking dielectric inclusions with arbitrary permittivity and shape in the quasi-static limit. For an ideal cloak, the contrast between the permittivity components has to tend to infinity. However, only positive permittivity values are required and a notable cloaking effect can already be observed with relatively moderate permittivity contrasts. Furthermore, we show that the polarly anisotropic cylindrical shell has a complementary capability of magnifying the response of an inner cylinder.

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Keywords

anisotropic cylinders, anisotropic sphere, electrostatic responses

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Citation

Kettunen, Henrik & Wallén, Henrik & Sihvola, Ari. 2013. Cloaking and magnifying using radial anisotropy. Journal of Applied Physics. Volume 114, Issue 4. 044110(1-9). 0021-8979 (printed). DOI: 10.1063/1.4816797.