Efficiently convergent novel basis functions for the analysis of microstrip discontinuities by the spectral domain Galerkin method

In this paper, novel efficient basis functions are presented for the rigorous analysis by the spectral domain Galerkin method of geometrically complex Microstrip discontinuities. The numerical performances of these basis functions are very attractive, namely, very rapid convergence and high stability. Moreover, a comparative study of the convergence features of the proposed basis functions with two others widely used in literature, namely, the rooftops and the rectangular pulses, is presented. To illustrate this study, numerical results are presented for a shielded Microstrip bend discontinuity.