Limiting responses of extreme-parameter particles in composites
Helsinki University of Technology, Department of Radio Science and Engineering, P.O. Box 3000, 02015 TKK, Finland
Corresponding author: email@example.com
Accepted: 10 June 2009
Published online: 3 February 2010
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.
PACS: 41.20.-q – Applied classical electromagnetism / 77.22.Ch – Permittivity / 78.35.+c – Brillouin and Rayleigh scattering; other light scattering
© EDP Sciences, 2010