Electrostatic resonances of a negative-permittivity hemisphere
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© 2008 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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School of Electrical Engineering |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2008
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Mcode
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Language
en
Pages
094112/1-8
Series
Journal of Applied Physics, Volume 103, Issue 9
Abstract
This article studies the electric response of an electrically small hemispherical object with negative permittivity by computing its polarizability which is determined by two orthogonal components, the axial one and the transverse one. A certain range of negative permittivity values is found where the mathematical determination of the polarizability becomes impossible due to an unlimited number of singularities. These singularities are due to surface plasmons, also referred to as electrostatic resonances, caused by the sharp edge of the hemisphere. It is also found that the planar surface of the hemisphere may support resonant surface modes. Furthermore, there exists a dipolar resonance determined by the overall geometry. In addition, it is shown that the resonances can be smoothened by introducing losses and, even more importantly, rounding the edge.Description
Keywords
dielectric polarization, surface plasmons, metamaterials, electromagnetic theory
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Citation
Kettunen, Henrik & Wallén, Henrik & Sihvola, Ari. 2008. Electrostatic resonances of a negative-permittivity hemisphere. Journal of Applied Physics. Volume 103, Issue 9. 094112/1-8. 0021-8979 (printed). DOI: 10.1063/1.2917402.