Parallel Plate Impedance and Equivalent Inductance Extraction Considering Proximity Effect by a Modal Approach

A modal approach for parallel plate impedance and equivalent inductance extraction for power integrity analysis including ball grid arrays (BGAs) between two parallel plates is presented. Since the BGAs are placed close to each other, the current flowing through each ball is not uniformly distributed due to the proximity effect. In this paper, a modal-based cavity method is proposed to count for this proximity effect. Analytical solutions for both the parallel plate impedance and the equivalent inductances associated with the BGAs are derived from the modal-based cavity method. The proposed method is validated by finite element method simulations and the application of the proposed method for power distribution network design is demonstrated.