Existence of Effective Media Properties for Clouds of Metallic and Magnetic Particles

This paper presents a model for mean field electromagnetic propagation through a volume of metallic and magnetic spheres. Particles are assumed to be randomly distributed throughout the medium, and electrically small. Mean field is calculated by coherently averaging the field scattered by many configurations of this random medium enclosed within a container sphere. Fields scattered by individual configurations of the scattered field are calculated using the Method of Moments. Mean field is then compared to the field scattered by a homogeneous, magneto-dielectric sphere the size of the container to determine the effective medium that represents mean field propagation in this random medium. Medium parameters are compared to predictions given by a mixing formula.