Analysis of slow and fast modes of lossy ceramic SiC waveguides

Abstract

Here we are going to present an electrodynamical analysis of the rectangular and circular SiC rod waveguides. Two computational algorithms in this work were used. The first algorithm, intended for calculating" the square waveguides, is based on the method of singular integral equations (SIE). Another algorithm, intended for calculating the circular waveguides is based on the partial area method. We present dispersion characteristics of the SiC waveguide concerning the fact that the longitudinal propagation constant h = h' — ih" is the complex number. For searching of complex roots of the dispersion equation we use the modified Muller method. We carried out a test of the algorithm stability and made the algorithms regularization when the material losses were quite large. We analysed here dependencies of values h' and losses h" on frequencies as well as the electric components of slow and fast modes of SiC waveguides. Here we present the pictures of the electric field strength lines and electric field intensities of modes propagating in the circular SiC rod.