Homogenizing metamaterials, three times

2012/11/08 by Didier Felbacq, Felbacq, Didier
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Optics (physics.optics) #cond-mat.mes-hall #math-ph #math.MP #physics.optics

paper · pdf · doi:10.48550/arxiv.1211.1901

13 pages, 6 figures, submitted to Metamaterials at the special section on the homogenization of metamaterials

arxiv created 2012/11/08 · openalex publication_date 2012/11/08 · arxiv updated 2012/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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