Scalar magnetostatic potential approach to the prediction of the excess inductance of grounded via´s and via´s through a hole in a ground plane

A quasi-static method is described for calculating the excess inductance of via´s. The considered via geometry contains connecting strips, pads on the via, and a finite ground plane thickness. An integral equation based on the scalar magnetic potential ψ is solved. The inductance is found by calculating the magnetic flux through a cut introduced to define ψ in an unequivocal way. The problem is generally solved for via through-holes; the grounded via-configuration is found as a limiting case. The influence of the geometric parameters on the via inductance is examined