Efficient Modeling of Package Power Delivery Networks with Fringing Fields and Gap Coupling in Mixed Signal Systems

Abstract

Full-wave EM simulations are computationally expensive given the complexity of packaging structures in modern mixed signal systems. Fast methods such as the transmission matrix method are inaccurate as they do not model discontinuities such as metal edges and gaps. In this paper, simple models for the edge effect and gap coupling are developed for the finite difference frequency domain method. Results are presented comparing the accuracy of the proposed method with full-wave simulations and measurements.

A new pinwheel meander-perforated plane structure for noise suppression in system-on-package

“…The pinwheel structure is on the top layer and it is connected to ground [8]. It is effective in lowering the frequency bandwidth while keeping meaner-line complexity in reasonable range by increasing C value significantly.…”

Computationally efficient power integrity simulation for system-on-package applications

“…In [1], split planes have been modeled by employing lumped coupling elements. The values for these elements can be derived from closed form expressions based on the geometry of the problem.…”

“…However, this technique requires the development of a large database that accounts for variations in dielectric height and permittivity, trace width and metal height, and can suffer from interpolation errors. On the other hand, the technique proposed in [1] relies on well characterized closed form expressions which are easy to implement. The fringe fields are corrected by adding additional elements to edges.…”

“…To ensure accurate results when the test structures contain split planes, the M-FDM formulation needs to be modified to model second order effects occurring due to fringe fields and coupling across slots. Fringe and gap models for single plane pair cases have been developed in [1] and will be extended in this paper. Also, for the first time, M-FDM will be applied to a six layer package structure to demonstrate its scalability.…”

Fast memory-efficient full-wave 3D simulation of power planes

“…Such problems have been analyzed in the past by making use of time-and frequency-domain techniques. Most of these solvers can be classified, in increasing order of accuracy, as two-dimensional (2D) [3], two-point-five -dimensional (2.5D) [4] and three-dimensional (3D) [5]. Though 3D solvers are the most accurate, they also impose a heavy penalty in terms of time required for analysis.…”