Efficient modeling of homogenous layers in high frequency integrated circuits

In this paper, a modeling approach appropriate for the homogeneous sub-domains in integrated circuits is proposed. This modeling approach can be applied if an exponential decay of the field variation can be assumed as it happens in the substrate and in the air above the chip. The main idea is to perform a hierarchical modeling based on an exponential partitioning scheme of the homogeneous layer, conducing to a sparse circuit model of linear complexity which is extracted with a low computational effort. The model obtained is further coupled with the models of the other parts in which the integrated circuit is decomposed. The numerical results obtained for a test case show an important reduction of the model size and computational effort.