Strong-fluctuation theory for a mean electromagnetic field in a statistically homogeneous random medium with arbitrary anisotropy of electrical and statistical properties

Publisher Website
Google Scholar
Abstract
Most of the previously used strong-fluctuation theories exclusively deal with electrically isotropic random media. In this paper an extension of the method of changing the field variable is proposed to account for strong fluctuations of a statistically homogeneous random medium which possesses the most general anisotropy of the electrical and statistical properties. For the effective perturbation operator, a full perturbation series solution and a bilocal approximation in the long-wavelength limit are derived referring to a general anisotropic random medium. On this basis, the particular cases of random media characterized by ellipsoidal correlation functions with fixed axes of statistical symmetry as well as with randomly rotating symmetry axes and a random distribution of correlation lengths are considered. For a general model of random media, a coordinate-free solution to the mean-field Green’s dyad problem in the spectral domain is described, and the nonlinear bilocal approximation for the effective perturbation operator is developed.