The Natural Waves of a 1D Lattice of Rectangular Dielectric Rods

Abstract

The problem about the eigen waves of the infinite periodic lattice of rectangular dielectric rods located in a plane waveguide is considered. The boundary value problem is solved with the partial domain method, and the dispersion equation for the propagation constant of an eigen wave is obtained. The fields of eigen waves are found. The expression for the characteristic impedance of the fundamental wave is obtained. Results of the numerical investigation of the behavior of the moderating ratio and the characteristic impedance of the fundamental wave of the lattice are presented.