Local field effects in anisotropic metamaterials

Abstract

We consider dielectric and magnetic properties of metamaterials consisting of single particles. Local field effects are taken into account. The so called method of multiscale consideration is realized: the macroscopic quantities of permittivity and permeability are expressed through the microscopic polarizability and magnetization of single particles. We obtain the generalized Clausius-Mossotti relations for the case of magnetic medium and with anisotropic particles in the long wave approximation. In cases of isotropic magnetic and nonmagnetic particles our results coincide with published results of other authors.