Mode matching analysis with cylindrical and plane waves

The mode matching method is applied to modes that propagate as cylindrical waves in the geometries that support them (radial waveguides where the boundaries match the coordinate surfaces of a cylindrical coordinate system, such as a parallel plate waveguide). Then, geometries that can be described as a concatenation of radial waveguides (such as dielectric resonators or cylindrical posts) are easily analyzed with almost the same formalism that is used to analyze planar discontinuities in traditional waveguides having axial uniformity. Second, a virtual circuit is created and analyzed in order to establish the relationship between cylindrical waves and plane waves in circuits whose geometry can be modeled as the composition of radial waveguides and traditional waveguides with axial uniformity, such as a rectangular waveguide loaded with dielectric resonators.