Constrained EM-based modeling of passive components

An adaptive algorithm is developed for constrained modeling of general passive components. The algorithm builds compact, multidimensional, analytical circuit models and represents the scattering parameters of the passive components as a function of its geometrical parameters and as a function of the frequency. Multiple constraints, or relationships between the geometrical parameters, may exist. The model generation algorithm combines iterative sampling and modeling techniques. It groups a number of full-wave electromagnetic (EM) simulations in one multidimensional analytic model. The modeling accuracy level is user-defined. The analytical circuit models can easily be implemented and used in commercial circuit simulators. The models provide EM-accuracy and generality at traditional circuit simulation speed.