Multi-layer fringe-field augmentations for the efficient modeling of package power planes

Modern mixed signal system-on-package integration schemes employ power distribution networks with highly irregular geometries. To model this problem, most techniques resort to approximations which lead to the fringe fields being ignored. In this paper, an efficient modeling method is proposed for multi-layered package power/ground planes with apertures. The solution technique employs the multi-layer finite difference method (M-FDM), with fringe field corrections provided by a 2D electrostatic solver. This scheme allows for efficient frequency domain simulation, and the S-parameters obtained from the method have been compared with full-wave simulations and measurements.