Effect of conductor thickness on the mode capacities of shielded strip transmission lines

Considering a known, or assumed, potential on the strip conductors, an implicit integral equation was formed for the resulting surface charge distribution on the strip conductors. This equation involved an appropriate Green's function for the rectangular region of interest. The charge distribution was determined by inverting the integral equation by means of a numerical Gaussian quadrature method. Special precautions were taken to deal with the singularity in the Green's function. From this numerical approximation of the surface charge density, the capacitance, characteristic impedance, and voltage coupling coefficient were obtained.