Exact solution for via-plate capacitances including the finite plate thickness

In this paper a straightforward analytical solution is presented for the exact calculation of the via plate capacitance in multilayer structures, considering the finite thickness of the plates. The capacitance is obtained from the static potential distribution and results in the determination of a single coefficient of an infinite equation system, which can be truncated after a few unknowns. The convergence of the solution is independent of the plates thickness. Thus the novel approach does not require additional effort in comparison with previous approaches where the plate thickness is omitted. The results are validated by numerical 3D full-wave simulations.