INTEGRAL-EQUATION ANALYSIS OF ARTIFICIAL MEDIA

This paper presents an integral equation and method of moments (MM) so lution to determine the effective permittivity and permeability of an artificial medium. The artificial medium is modeled as a triple infini te periodic array of identical scattering elements. A plane wave of un known phase constant is assumed to propagate in the periodic medium in a given direction, and the periodic moment method (PMM) is used to se t up a matrix equation for the currents on the center element of the p eriodic array. By setting the determinant of the PMM impedance matrix to zero, one can determine the phase constant of the plane wave, and t hen the effective permittivity and permeability of the artificial medi um.