Effects of nonspherical statistics on EM wave propagation in discrete random media

Earlier results for electromagnetic wave propagation in discrete random media assumed spherical statistics for describing the spatial distribution of even nonspherical scatterers. The appropriate pair correlation function for nonspherical scatterers can, in general, be obtained by the Monte Carlo method which is essential in analyzing nonspherical statistics. This paper presents new results using nonspherical statistics in the investigation of multiple electromagnetic wave scattering by aligned dielectric prolate as well as oblate spheroids randomly distributed in space. Comparison between previous results using spherical statistics and present calculations show that approximating the spatial distribution of nonspherical scatterers using spherical statistics will yield effective medium characteristics that differ quite widely. Of all approximations using spherical statistics for non‐spherical scatterers that using an equal volume sphere appears to be the best if the actual statistics are not available.