Authors: | Bouchitté, Guy Schweizer, Ben |
Title: | Homogenization of Maxwell’s equations with split rings |
Language (ISO): | en |
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. |
URI: | http://hdl.handle.net/2003/25743 http://dx.doi.org/10.17877/DE290R-15319 |
Issue Date: | 2008-07-16T06:59:51Z |
Provenance: | Society for Industrial and Applied Mathematics |
URL: | http://dx.doi.org/10.1137/09074557X |
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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File | Description | Size | Format | |
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mathematicalPreprint16.pdf | 478.68 kB | Adobe PDF | View/Open |
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