Static Inductance Extraction by Means of the Monte Carlo Method and Variance Reduction Techniques for Acceleration

With increasing signal frequencies inductive effects of metallic interconnections in all kinds of packages become more and more important for the electrical performance of a circuit. During the design process it is therefore of interest to have a stable, fast and accurate simulation tool which is capable of extracting the inductance of large and complicated geometries. This work presents a new program for static inductance extraction, INDEX, i.e. without consideration of the skin effect. The method is based on a current density computation by means of the Finite Element method with an ensuing energy estimate by means of Monte Carlo sampling. Our previous approach has been considerably improved by application of variance reduction techniques. New ideas are explained and an example is shown below.