Use of a Correspondence Principle in Reduced-Order Modeling of Electro-Magnetic Wavefields.

摘要

The transient electromagnetic wavefield in an inhomogeneous and lossy medium can be computed efficiently by constructing reduced-order approximations to the electromagnetic wave-field quantities. Since these approximations are based on Maxwell's equations as a system of first-order partial differential equations, they exhibit a specific structure and for the case of a lossless medium we can take advantage of this structure in the following way. Given a reduced-order approximation for the electromagnetic wavefield present in a lossless medium, we can use this approximation to describe the behavior of the electromagnetic field in a corresponding class of lossy media as well. The connection between this class of lossy media and the lossless medium is described by a correspondence principle. If it is satisfied, it is not necessary to start the computations all over again. Only a slight modification of the reduced-order approximations is needed. Some numerical examples, for two-dimensional configurations, will illustrate this point.