Analytical Evaluation of Partial Elements Using a Retarded Taylor Series Expansion of the Green’s Function

The computation of the fundamental magnetic and electric field coupling terms for the full-wave partial element equivalent circuit method is time consuming for large problems. Extensive numerical integration is required for the computation of four to six fold integration of the partial element coefficients. In this paper, we present new full-wave analytical formulas for their computation, which are based on several different Taylor series expansion approaches for the case of rectangular elementary volumes and surfaces.