Accurate modeling of frequency responses of multiple planes in gigahertz packages and boards

This paper presents an accurate dynamic methodology for computing the frequency responses of multilayered ground planes filled with inhomogeneous dielectric materials. Since an integral equation based method based on the free space Green's function has been utilized for computing the current distribution on the structures, the edge effects from the ground planes can be accurately accounted for, resulting in a more accurate model in the gigahertz regions. It provides great flexibility in computation of the impedance at any location between the various planes. The results have been compared with the S-parameters measured by other researchers and show good correlation with the available measurements.