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On the problem of the effective parameters of metamaterials

 a,  a,  b
a Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
b Laboratoire 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.

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Fulltext is also available at DOI: 10.1070/PU2008v051n05ABEH006533
PACS: 41.20.−q, 78.20.Ci, 81.05.Rm (all)
DOI: 10.1070/PU2008v051n05ABEH006533
URL: https://ufn.ru/en/articles/2008/5/e/
000259376200005
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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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

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