Novel surface integral equation formulation for accurate broadband RL extraction in transmission lines of arbitrary cross-section

The volume integral equation used in the method of moments based resistance and inductance extractors is reduced to a novel surface integral equation featuring a global surface impedance boundary condition as well as a product of volume and surface integral operators. The reduction is achieved by employing the equivalence principle representation of the electric field in the conductor cross-section via equivalent surface current density on the conductors´ boundary. As no approximation is utilized in the reduction of the volume integral equation to the surface one, the method of moment solution of the latter does not compromise the accuracy of volumetric current approximation.