Synthesis of multimode waveguide transition sections

Two different analytical solutions are employed to synthetise waveguide transition sections. The first is derived from the generalised telegraphist´s equations attributed to Schelkunoff, and the second is based on a generalised quasioptical approach. Both solutions are expressed in terms of an infinite set of simultaneous differential equations which are solved numerically through an iterative process. The relative merits of these solutions, which depend strongly on the coupling between the simultaneous differential equations, are compared with experiment.