An Analytic Method for Capacitance Extraction of Asymmetric Vias

This paper considers the problem of via-plane capacitance extraction for power and signal integrity analysis of printed circuit boards and electronic packages. The recently proposed full-wave method is extended to handle asymmetric antipads by judiciously selecting the integration domain of the magnetic field in the parallel-plate cavity. Numerical results demonstrate its agreement with the capacitance obtained from the quasi-static method.