Basic models of effective parameters for media with complex particles

The main approximations for calculation of effective parameters of inhomogeneous media are Bruggeman effective medium approximation and Maxwell Garnett model, which are currently widely used in the description of composites containing various nanostructured objects. In this paper we consider a simple approach to these approximations, allowing to embrace the most general case of statistically anisotropic media with particles of arbitrary internal structure, and also to clarify their physical meaning. The type of result essentially depends on the choice of "effective cells" used in estimating the field and induction values averaged over the volume.