Permeabilities of metamaterials
Optics
2011-01-25 v3 Classical Physics
Abstract
Scattering of electromagnetic (EM) waves by many small particles, embedded in a given medium, is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for the effective EM field in the limiting medium, in the limit , where is the characteristic size of a particle and the number of the particles tends to infinity at a suitable rate. An analytical formula for the permeability of the limiting medium is given. Analysis of this formula allows one to find out the range of the values of the permeability in the material, obtained by embedding many small particles.
Cite
@article{arxiv.1012.2761,
title = {Permeabilities of metamaterials},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:1012.2761},
year = {2011}
}