Polder-van Santen Effective Medium Approximation for Nanocomposite Materials

A long-wave generalization of the effective permittivity and permeability tensors for the Polder-van Santen approximation for a 3-D two-component composite are presented in this study in terms of electric and magnetic polarizabilities. The composite is a cubic array of spherical particles imbedded in homogenous dielectric host medium. A specific representation of the particle polarizabilities allow to take one into account the radiation loss. The case of fully magnetized material of particles is considered in the study. The obtained expressions for the effective electromagnetic response of composite under the consideration have shown to agree well with rigorous but complicate analytical theory obtained earlier for subwavelength ranges.