Scattering Transfer Matrix Representation for Low-loss Coupled-line Interconnects

A compact matrix representation for low-loss multi-conductor coupled-line structures in homogeneous medium based on scattering transfer matrix is presented. The compact form and straight-forward procedure of the proposed method simplifies the analysis of coupled-line circuits in general and cascaded coupled-line structures, specifically. Regardless of the coupled conductor traces, in our representation one needs only the self and mutual capacitance and inductance of traces to model the electromagnetic wave propagation along the multi-conductor transmission line structure in a very compact matrix form. Also, assuming the quasi-TEM wave propagation along the coupled-line structure, we show that the contributions of the dielectric and conductor losses are simply included in our proposed method in the form of some extra matrix multiplications.