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Limiting responses of extreme-parameter particles in composites

Published online by Cambridge University Press:  03 February 2010

A. H. Sihvola
A. H. Sihvola*
Affiliation:
Helsinki University of Technology, Department of Radio Science and Engineering, P.O. Box 3000, 02015 TKK, Finland
*
[email protected]
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Abstract

In this article polarizability properties of spheres and ellipsoids are analyzed. For limiting shapes (disks and needles), the polarizability values can theoretically become extremely large. In the limiting process, however, the sequence is crucial in which the geometric parameters and the permittivity magnitude approach infinity. This article determines the levels of the achievable polarizability, which levels dictate the limits of the effective parameters of the composite to be made of such components. Furthermore, the plasmonic details in the negative permittivity domain are connected with the positive-permittivity behavior. Particular geometries carry over the plasmonic response to ENZ (epsilon-near-zero) materials, which brings forth interesting perspectives for material design with extreme parameters. These singularities are carefully analyzed in the present paper for non-magnetic and non-chiral particles.


Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 49 , Issue 3: Focus on Metamaterials , March 2010 , 33001
Copyright
© EDP Sciences, 2010

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References

R.E. Raab, O.L. De Lange, Multipole Theory in Electromagnetism: Classical, Quantum, and Symmetry Aspects, with Applications (Clarendon Press, Oxford, 2005)
L. Arnaut, Mutual coupling in arrays of planar chiral structures, in Advances in Complex Electromagnetics Materials, NATO ARW: 951552, edited by A. Priou, A. Sihvola, S. Tretyakov, A. Vinogradov (Kluwer Academic Publishers, Dordrecht, 1997), pp. 293–309, http://www.amazon.com/Advances-Complex-Electromagnetic-Materials-Partnership/dp/0792345037
Lindell, I.V., Sihvola, A.H., Phys. Rev. E 79, 026604 (2009) CrossRef
Sihvola, A., Tretyakov, S., de Baas, A., J. Commun. Technol. Electron. 52, 986 (2007); A. Sihvola, S. Tretyakov, A. de Baas, Radiotekhnika i elektronika 52, 1066 (2007) (in russian) CrossRef
N. Engheta, Proc. Meta'08, NATO Advanced Research Workshop Metamaterials for Secure Information and Communication Technologies, Marrakesh, Morocco, 2008, pp. 7–9
Alù, A., Silveirinha, M.G., Salandrino, A., Engheta, N., Phys. Rev. B 75, 155410 (2007) CrossRef
A. Sihvola, Ubi materia, ibi geometria, Helsinki University of Technology, Electromagnetics Laboratory Report Series, No. 339, 2000
Mansfield, M.L., Douglas, J.F., Garboczi, E., Phys. Rev. E 64, 061401 (2001) CrossRef
J.D. Jackson, Classical electrodynamics, 2nd edn. (New York, Wiley, 1975)
J.A. Kong, Electromagnetic wave theory (EMW Publishing, Cambridge, Mass., 2000)
C. Kittel, Introduction to solid state physics, 6th edn. (Wiley, New York, 1986)
Sihvola, A., J. Nanomater. 2007, 1 (2007) CrossRef
L.D. Landau, E.M. Lifshitz, Electrodynamics of continuous media, 2nd edn. (Pergamon Press, Oxford, 1984), Sect. 4, p. 24
O.D. Kellogg, Foundations of potential theory (Dover Publications, New York, 1953), Chap. VII
A. Sihvola, Electromagnetic Mixing Formulas and Applications (IEE Publishing, London, 1999)