Combining Multilevel Green’s Function Interpolation Method with Volume Loop Bases for Inductance Extraction Problems

Abstract—In this paper, a fast integral equation method is developed for extracting the inductances in RF ICs, RF MEMs, IC packages, and deep submicron ICs etc. This method combines a recently developed Multilevel Green’s Function Interpolation Method (MLGFIM) [1, 2] with the volume integral equation discretized using Volume Loop (VL) basis functions. In it, instead of using the filaments model to simulate the currents flowing in the inductors, we use the conventional SWG basis functions for this kind of basis functions is flexible for problems with complex geometries. The shortest path finding algorithm is also used to find the source loop basis functions. The inductance extractions from the straight line, the spiral inductors, the bump, and the parallel buses in this paper demonstrate the validity and efficiency of this hybrid method.