Accelerated Multi-Grid Scheme for Substrate Coupling Modeling and Analysis

Abstract

This paper proposes a novel method for substrate coupling modeling and analysis. This method is based on accelerated multi-grid, finite difference simulation. In this method the final value of impedance in each stage of modeling is calculated by considering the results of both two previous stage grids. This calculation performed with different weighting factors for two previous stages. This method, with best weighting factors result in 75% decrease in simulation time for low frequency substrate modeling compare with simple multi-grid method. The time saving will improve with increasing the accuracy and number of points for simulation.