Issue Eur. Phys. J. Appl. Phys. Volume 46, Number 3, June 2009 Metamaterials Article Number 32602 Number of page(s) 5 Section Metamaterials 2007 DOI 10.1051/epjap:2008104 Published online 19 July 2008

Eur. Phys. J. Appl. Phys. 46, 32602 (2009)
DOI: 10.1051/epjap:2008104

Six-dimensional view of dielectric mixtures as metamaterials

A. Sihvola

Helsinki University of Technology, Department of Radio Science and Engineering, PO Box 3000, 02015 TKK, Finland

ari.sihvola@tkk.fi

Received: 8 February 2008 / Received in final form: 10 April 2008 / Accepted: 14 April 2008 / Published online: 19 July 2008

Abstract
This paper discusses homogenization formulas and mixing rules that connect effective dielectric properties of mixtures with their microstucture. The special point of view in this paper is that all parameters appearing in mixing formulas are treated with equal status. The parameters that can be varied are the permittivities (which are allowed to be negative as well as positive) of the inclusion, environment, and composite, the volume fraction, spatial dimension, and an abstract parameter which chooses the given mixing formula type. The analysis helps in the interpretation of predictions from classical mixing rules when they are extended into the domain of negative-permittivity metamaterials.

PACS
41.20.-q - Applied classical electromagnetism.
73.90.+f - Other topics in electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures.
77.22.-d - Dielectric properties of solids and liquids.

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