|Title:||Homogenization of Maxwell’s equations with split rings|
|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.|
|Provenance:||Society for Industrial and Applied Mathematics|
|Citation:||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)|
|Appears in Collections:||Preprints der Fakultät für Mathematik|
Schweizer, Ben Prof. Dr.
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