Efficient MOM-based generalized scattering matrix method for the integrated circuit and multilayered structures in waveguide

The generalized scattering matrix (GSM) approach is proposed to analyze transverse multilayered structures with circuit ports in a metal waveguide. The Kummer transformation is applied to accelerate slowly converging double series expansions of Green's functions that occur in evaluating the impedance matrix elements. In this transformation the quasi-static part is extracted and evaluated to speed up the solution process resulting in a dramatic reduction of terms in a double series summation. The formulation incorporates electrical ports as an integral part of the GSM formulation and so that the resulting model can be integrated with circuit analysis.