Strong-property-fluctuation theory for homogenization of bianisotropic composites: Formulation

The strong-property-fluctuation theory is developed for the homogenization of the linear dielectric, magnetic, and magnetoelectric properties of a two -constituent bianisotropic composite. The notion of a bianisotropic compari son medium (BCM) is introduced to serve as a springboard for the Dyson equa tion satisfied by the ensemble-averaged electromagnetic held. With the cons titutive properties of the BCM serving as the zeroth-order solution of the Dyson equation, the first-order correction, known as the bilocal approximat ion, is obtained. Wave propagation in the composite can be described in thi s manner by a nonlocal effective medium containing information about the sp atial correlations of the constitutive properties. For scales larger than t he correlation length, the nonlocality vanishes and a local effective mediu m emerges. Analytical results for the local effective constitutive properti es are presented after assuming a spherical particulate topology far the co nstituent mediums. Illustrative numerical results are provided.