Full Wave Analysis for Estimating Wave Attenuation In a Random Volume of Metallic Wires Using Monte Carlo Simulation

This paper presents a model for electromagnetic waves propagating through a volume of metallic wires. These wires are assumed to be randomly distributed, perfectly conducting, and electrically large. The mean field propagating through such a medium resembles a field propagating through an effective homogeneous medium with complex permittivity and permeability. The mean field is calculated by coherently averaging the field scattered by many statistically relevant configurations of this random medium. The scattered field is calculated using the Method of Moments (MoM). The average scattered field is then compared to the field scattered by a homogeneous medium. The effective medium is defined as the medium for which the greatest amount of matching exists between the average scattered field and the effective medium scattered field. The propagation parameters of this effective medium are then given for a medium composed of half wavelength long wires occupying a varying volume fraction of the medium.