On the problem of the effective parameters of metamaterials

A.P. Vinogradov^a, A.V. Dorofeenko^a, S. Zouhdi^b
^aInstitute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^bLaboratoire de Génie Electrique de Paris Supélec-Pierre & Marie Curie University, Paris, France

The mixing formulas for calculating the effective parameters of composite materials with inclusions having a negative permeability or permittivity are analyzed. The problems appearing when various formulas are utilized were outlined, and the computation algorithms yielding physically meaningful solutions were described. The problem of the calculation of a refractive index for media with arbitrary values of permittivity and permeability is discussed.

PACS: 41.20.−q, 78.20.Ci, 81.05.Rm (all)
DOI: 10.1070/PU2008v051n05ABEH006533
URL: https://ufn.ru/en/articles/2008/5/e/
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000259376200005
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2008PhyU...51..485V
Citation: Vinogradov A P, Dorofeenko A V, Zouhdi S "On the problem of the effective parameters of metamaterials" Phys. Usp. 51 485–492 (2008)

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%0 Journal Article
%T On the problem of the effective parameters of metamaterials
%A A. P. Vinogradov
%A A. V. Dorofeenko
%A S. Zouhdi
%I Physics-Uspekhi
%D 2008
%J Phys. Usp.
%V 51
%N 5
%P 485-492
%U https://ufn.ru/en/articles/2008/5/e/
%U https://doi.org/10.1070/PU2008v051n05ABEH006533

Оригинал: Виноградов А П, Дорофеенко А В, Зухди С «К вопросу об эффективных параметрах метаматериалов» УФН 178 511–518 (2008); DOI: 10.3367/UFNr.0178.200805e.0511