Homogenization of Maxwell’s equations with split rings
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Date
2008-07-16T06:59:51Z
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Society for Industrial and Applied Mathematics
Abstract
We analyze the time harmonic Maxwell’s equations in a complex geometry. The scatterer Omega subset R^3 contains a periodic
pattern of small wire structures of high conductivity, the single element has the shape of a split ring. We rigorously derive effective
equations for the scatterer and provide formulas for the effective permittivity and permeability. The latter turns out to
be frequency dependent and has a negative real part for appropriate parameter values. This magnetic activity is the key feature
of a left-handed meta-material.
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Schweizer, Ben; Bouchitté, Guy: Homogenization of Maxwell's Equations in a Split Ring Geometry. - In: Multiscale Model. Simul. Volume 8, Issue 3, pp. 717-750 (2010)