Quasi-TM transmission line parameters of coupled lossy lines based on the Dirichlet to Neumann boundary operator

This paper presents a new multiconductor transmission line model for general 2-D lossy configurations based on mode reciprocity. Particular attention is devoted to elucidate the validity of the quasi-TM model and the approximations that have to be invoked to obtain this model. A new derivation of the complex capacitance matrix is given, especially taking into account the presence of semiconductors. This derivation automatically leads to a nonclassical circuit signal current definition and demands for a formulation of the complex inductance problem consistent with that definition. The relevant resistance, inductance, conductance, and capacitance circuit matrices are obtained by solving boundary integral equations only, making use of the Dirichlet to Neumann boundary operator for the different materials. This allows to simulate complex metal-insulator-semiconductor structures, as shown in the numerical examples.