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arxiv: 1211.1901 · v1 · pith:HGGVZ5YMnew · submitted 2012-11-08 · ❄️ cond-mat.mes-hall · math-ph· math.MP· physics.optics

Homogenizing metamaterials, three times

classification ❄️ cond-mat.mes-hall math-phmath.MPphysics.optics
keywords differentthreeanalysisapproachescollectionconnectionsdetaileddifferential
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The homogenization of a metamaterial made of a collection of scatterers periodically disposed is studied from three different points of view. Specifically tools for multiple scattering theory, functional analysis, differential geometry and optimization are used. Detailed numerical results are given and the connections between the different approaches are enlightened.

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