Multiple scattering of electromagnetic waves by randomly distributed and oriented dielectric scatterers

The coherent wave propagation and attenuation of electromagnetic waves in an inhomogeneous medium containing randomly distributed and randomly oriented nonspherical dielectric scatterers is studied using statistical averaging procedures and a self-consistent multiple-scattering theory. The specific geometry and orientation of the inhomogeneities are incorporated into the $T$ matrix of the scatterer thus making the formalism a convenient and computationally efficient scheme to study randomly oriented dielectric scatterers for a range of frequencies. The $T$ matrix of identical scatterers evaluated with respect to axes natural to the scatterers is then transformed to the arbitrary coordinate system by introducing rotation matrices that contain information about the orientation of individual scatterers. The rotation matrices can be integrated conveniently for random orientations of the scatterers.