Polarizability of radially anisotropic elliptic inclusion

This article discusses a two-dimensional electrostatic scattering problem where an elliptic inclusion is suspended in a homogeneous background and impinged by an electric field which is uniform and static. The novelty of the discussion stems from the inclusion's material parameters. The materia...

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Veröffentlicht in:Journal of applied physics 2016-01, Vol.119 (1)
Hauptverfasser: Rimpiläinen, T., Wallén, H., Sihvola, A.
Format: Artikel
Sprache:eng
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Zusammenfassung:This article discusses a two-dimensional electrostatic scattering problem where an elliptic inclusion is suspended in a homogeneous background and impinged by an electric field which is uniform and static. The novelty of the discussion stems from the inclusion's material parameters. The material of the inclusion is assumed to be axially anisotropic, so that the axis of anisotropy aligns itself with the radial unit vector of the elliptic coordinate system. Similar varieties of anisotropy have been formerly referred to as radial anisotropy, and the same term is employed herein. The radially anisotropic elliptic inclusions are studied with an analytic method. The validation is likewise analytic. The validation method compares the new results with the results for radially anisotropic circles and homogeneous two-dimensional needles. The elliptic inclusion is found to facilitate both cloaking and field concentration.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.4939158