Dyadic Green's functions for a nonhomogeneous parallel-plate waveguide

Abstract

Dyadic Green's functions for two parallel plates with different dielectrics is formulated in this paper. As an application, the plane electromagnetic wave radiated along this structure is revisited by applying these dyadic Green's functions. First the dyadic Green's function is formulated and expanded in terms of Cartesian vector wave functions in the form of a plane wave spectrum using the spectral decomposition technique and the properties of Fourier transform. The equations are then derived from the appropriate boundary conditions and are expressed in matrix form. The scattering and transmission coefficients are then obtained from matrix equations. I. INTRODUCTION Dyadic Green's functions for two parallel plates have been analyzed by Tai (I). Our objective is to formulate the Dyadic Green's functions for the structure with two dielectrics when the wave is radiated parallel or perpendicular to the interface of the two dielectrics. The scattering superposition is utilized for the formulation of the Green's function. The parallel-plate dyadic Green's function in terms of Cartesian vector wave functions is used in the analysis (I) with the appropriate boundary conditions.