INTEGRAL FORMULATION OF THE MEASURED EQUATION OF INVARIANCE - A NOVELSPARC MATRIX BOUNDARY-ELEMENT METHOD

A novel integral formulation of the Measured Equation of Invariance me thod is derived from the reciprocity theorem. This formulation uses th e electric and magnetic Green's functions of the environment to obtain a matrix equation for the induced surface current with the same numbe r of unknowns as the conventional Boundary Element - Method of Moments (BE-MoM) approach. However, the matrix that must be inverted in the n ew formulation is sparse and circulant, with only three non-zero eleme nts per row. Sample results for two-dimensional TM and TE problems wit h perfectly conducting scatterers show enormous CPU time and memory sa vings over the conventional BEM-MoM approach. The new formulation has important advantages over the original finite difference formulation o f MEI, but also shares some of its limitations.