The simulation and design of integrated inductors

At present there are two common types of integrated circuit inductor simulation tools. The first type is based on the Greenhouse methods, and obtains a solution in a fraction of a second; however, because it does not use solutions of the inductor charge and current distributions, it has limited accuracy. The second type, method of moments (MoM) solvers, determines the charge and current variations by decomposing the inductor into thousands of sub elements and solving a matrix. However, this process takes between minutes and hours to obtain a reasonably accurate solution. In this paper, we present a series of algorithms for solving inductors, of radius small compared to the wave length of the electrical signal, that equal or exceed the accuracy of MoM solvers, but obtain those solutions in roughly 1 second.