Advanced model order reduction technique in real-life IC/package design

An real-life packaging is a multi-port system with a wide band frequency of interest. The efficient solution of such multi-input/multi-output responses over a wide frequency band adds extraordinary computational complexity to Electromagnetic simulation. In this paper, we proposed an advance model order reduction (MOR) algorithm, that is capable of producing fast and accurate computation of multi-port multi-frequency responses. This MOR technique is based on a multipoint Galerkin asymptotic waveform evaluation (MGAWE) to automate the fast frequency sweep process, and a recycling Krylov subspaces method, GCRO-DR, to gain further efficiency and to reduce the needed matrix-vector (MV) multiplications required in solving DDM matrix equation at different frequencies with multi-port excitation. Numerical results verify the analysis and demonstrate the effectiveness of the proposed method on a real-life 3-D full package signal integrity analysis.