The Generalized Scattering Matrix Analysis of Waveguide Discontinuity Problems

摘要

Three boundary value problems involving discontinuities in a parallel plate waveguide were solved. The three kinds of waveguide discontinuities studied were: (1) the metallic step discontinuity, (2) the inhomogeneous E-plane bifurcation, and (3) the trifurcation. The generalized scattering matrix technique, introduced by Mittra and Pace, was applied to solve these problems. The solutions obtained are formally exact and in series form. No restriction is made on the operating frequency of the waveguide. The solutions are equally valid for oversized waveguides, in which several modes are allowed to propagate down the guide at once. The results of numerical computations of the reflection coefficient for the dominant mode in the waveguide are reported. The computations were performed on a digital computer. Where possible, the author's results are compared with those published by Marcuvitz, Williams, and Cronson. Close agreement between the author's results and those of the above authors was noted. (Author)