Homogenization of the Maxwell equations in an anisotropic material

In English This paper contains an overview of the homogenization of anisotropic materials
at fixed frequency using the concept of two-scaled convergence. The
homogenized electric and magnetic parameters, the relative permittivity and
the relative permeability, respectively, are found by suitable averages of the
solution of a local problem in the unit cell. A comparison between the exact
homogenization method presented in this paper and the traditional mixture
formulae, which are based on physical arguments, is made.