Method of moment solution of Surface-Volume-Surface Electric Field Integral Equation for two-dimensional transmission lines of complex cross-sections

The novel Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) has been recently proposed for accurate extraction of per-unit-length (p.u.1.) inductance and resistance (RL) matrices in multi-conductor transmission lines (MTL). The SVS-EFIE yields the same accuracy of RL extraction as the traditional volumetric EFIE (V-EFIE) solution while introducing the unknown currents on the conductor surface instead of its volume. This work presents detailed discussion of Method of Moments (MoM) discretization of the SVS-EFIE and resultant matrices. The example of a coaxial transmission line is utilized in derivations to demonstrate method's applicability to MTL's with multi-connected cross-sections.