CAD Formulas for Modelling the Interconnections of Fast GaAs Integrated Circuits

The capacitance and inductance matrices for a set of interconnecting lines are computed using the moment method. Capacitance matrix [C] is obtained by inverting the potential matrix [P], whose terms are calculated from the multiple reflections theory to take into account the interface Air-GaAs. By an approximate formulation, we obtain simple analytical relations to calculate the coefficients of [C] and [L]. For GaAs technology, considering the semi-insulator like a perfect dielectric, these CAD relations give the coefficients of [C] and [L] with an accuracy better than a few percents.