Model order reduction techniques for electromagnetic macromodelling based on finite methods

Model order reduction of an electromagnetic system is understood as the app roximation of a continuous or discrete model of the system by one of substa ntially lower order, yet capable of capturing the electromagnetic behaviour of the original one with sufficient engineering accuracy. Model order redu ction technqiues are reviewed and critically examined in this paper. The em phasis is on techniques suitable for the generation of high-order Pade appr oximations to transfer functions of electromagnetic systems discretized usi ng finite methods. The computational complexity associated with the applica tion of such model order reduction techniques to electromagnetic systems of practical interest is discussed, and the computationally most efficient mo del order reduction algorithm is identified. The benefits of model order re duction are demonstrated through a series of numerical examples from the an alysis of electromagnetic waveguides. Copyright (C) 2000 John Wiley & Sons, Ltd.