General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms Techniques designed to overcome this problem such as locally or globally deformed grids, or the use of nonorthogonal coordinate systems have been reported but these impose a penalty in computa tional effort or in flexibility. In this contribution, an alternative te8:hnique is described whereby the standard Cartesian grid is maintained, and the existence of the material boundaries is accounted for by the use of special finite difference equations for the affected nodes. These equations take account not only of the position of the boundaries but also of the asymptotic field bchavior in their vicinity. This technique results in a flexible, a(atrate, and efficient, implementation which is applicable to a vide range of MMIC and antenna structures.