Analytical evaluation of partial inductances with retardation

Abstract

The Partial Element Equivalent Circuit (PEEC) circuit oriented electromagnetic method has been found particularly useful for modeling PCBs, interconnects, and 3-D problems involving both electromagnetic computations and circuits. Efficiency improvements in PEEC for higher frequencies are becoming important especially for large aspect ratio cells. The analytical solution of the six-fold integrals has been shown to lead to a very efficient solution for such integrals. In this paper we introduce a new approach for the analytical evaluation of retarded partial inductances at arbitrary distances.