Homogenizing metamaterials, three times
Mesoscale and Nanoscale Physics
2012-11-09 v1 Mathematical Physics
math.MP
Optics
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.
Cite
@article{arxiv.1211.1901,
title = {Homogenizing metamaterials, three times},
author = {Didier Felbacq},
journal= {arXiv preprint arXiv:1211.1901},
year = {2012}
}
Comments
13 pages, 6 figures, submitted to Metamaterials at the special section on the homogenization of metamaterials