Title :
Integral equation analysis of artificial media
Author :
Blanchard, J.L. ; Newman, E.H. ; Peters, M.E.
Author_Institution :
Electro-Sci. Lab., Ohio State Univ., Columbus, OH, USA
fDate :
5/1/1994 12:00:00 AM
Abstract :
This paper presents an integral equation and method of moments (MM) solution to determine the effective permittivity and permeability of an artificial medium. The artificial medium is modeled as a triple infinite periodic array of identical scattering elements. A plane wave of unknown phase constant is assumed to propagate in the periodic medium in a given direction, and the periodic moment method (PMM) is used to set up a matrix equation for the currents on the center element of the periodic array. By setting the determinant of the PMM impedance matrix to zero, one can determine the phase constant of the plane wave, and then the effective permittivity and permeability of the artificial medium
Keywords :
antenna arrays; antenna theory; electromagnetic wave scattering; integral equations; numerical analysis; permeability; permittivity; artificial media; currents; effective permeability; effective permittivity; integral equation; matrix equation; method of moments; periodic medium; periodic moment method; phase constant; plane wave; scattering elements; triple infinite periodic array; Composite materials; Dielectric substrates; Electromagnetic scattering; Integral equations; Magnetic moments; Moment methods; Permeability; Permittivity; Phased arrays; Radar scattering;
Journal_Title :
Antennas and Propagation, IEEE Transactions on