Simplified solutions of a cross-junction and specially truncated bends in parallel-plate waveguides

The mode matching technique is employed to solve for the scattering parameters in cross-junction and specially truncated bends in parallel-plate waveguides where the general problem reduces to the solution of three canonical boundary value problems. The basic geometry in all three cases involves a finite wedge region overlapping with a semi-infinite parallel-plate region. The scattering coefficients in each case are determined by matching across the common boundaries the eigenfunctions expansion in each region. Typical results to demonstrate the accuracy of the reflection coefficient and the convergence of the infinite series are presented.