Some Theoretical Investigations on Metal Disc Delay Dielectrics

Abstract

The paper presents a brief report of the theoretical investigations on the properties of an artificial dielectric composed of a three-dimensional array of thin metal discs. If the dielectric sample is illuminated by a plane electromagnetic wave, it may be assumed that the incident field induces on the surface of each disc sheet electric and sheet magnetic currents. Electric and magnetic vector potentials are found in terms of and . The electric field intensity at a distant point P due to the radiation from a single disc is calculated from the geheralized relation of radiation intensity involving and . The resultant field intensity at P due to all the discs of the array acting as radiators is calculated by introducing the complex array factor in the expression for . The complex phase factor of the transmitted wave is derived from the expression for . Separating the real and imaginary parts of the complex phase factor, refractive index of the dielectric sample is calculated from the expression for the real part of the phase factor as a function of the path length traversed by the wave inside the dielectric.