Numerical analysis of the single step discontinuity in the two dimensional dielectric wave guide

The two dimensional step discontinuity of the junction of two different dielectric rectangular waveguides has been solved using integral equation arising from the field matching of the discrete modes and the continuous spectrum. Accurate numerical solution has been obtained using Ritz-Galerkin variational approach with appropriate sets of expanding functions. The results in the form of scattering parameters for varying step ratio's have been depicted graphically. Computed results from generalized integral expressions are found to be in excellent agreement with results obtained in one dimensional case.