In this chapter possibilities are sought how the effective-medium models could be hardened; in other words, to generalise them so that their domain of applicability would extend to frequencies for which the inclusions and inhomogeneities can no longer be considered very small. Certainly, the scattering of single bodies in free space has been studied thoroughly for various canonical shapes. See the extensive collection by Bowman et al. for these results. However, the aim here is not to look for full solutions of Maxwell equations in random media but rather, how the most important correction terms could be added to mixing rules if we wish to try to describe the dynamic response of the dielectric inhomogeneity and randomness of the material.

Inspec keywords: Maxwell equations; frequency response; Rayleigh scattering

Other keywords: dynamic response; canonical shapes; material dielectric inhomogeneity; effective medium model; scattering; free space; Maxwell equation; frequency

Subjects: Electromagnetic wave propagation