Effective Dielectric Constant, Permeability, and Conductivity of a Random Medium and the Velocity and Attenuation Coefficient of Coherent Waves

Publisher Website
Google Scholar
Abstract
Random media are considered in which the dielectric constant, permeability, and conductivity are random functions of position. For them, the average electric field, electric current, dielectric displacement, magnetic field, and magnetic induction are determined, assuming that these average quantities are time‐harmonic plane waves. The proportionality factors between appropriate pairs of these quantities are found and defined to be the effective dielectric constant, permeability, and conductivity of the random medium. These effective parameters depend upon the frequency and propagation constant of the field in addition to the two‐point auto‐ and cross‐correlation functions of the random dielectric constant, permeability, and conductivity. For transverse fields thay are all scalars. In addition the dispersion equation for the propagation constant of the average or coherent field, derived previously, is analyzed and solved for high‐ and low‐frequency fields. From the propagation constant, the phase velocity and attenuation coefficient can be found.

This publication has 4 references indexed in Scilit: