Reduction of Singular Surface Integrals of Tensor Green Function to Non-Singular Line Integrals in Integral Equations for Planar Geometries

A novel procedure is presented for the evaluation of matrix elements of the tensor Green function with Rao-Wilton-Glisson basis functions appearing in surface integral equations in electromagnetics. The procedure, at this point applicable to planar geometries, reduces four-dimensional surface integrals with singular integrands to line integrals over triangle edges with regular integrands. The main advantage of the derived expressions is that they offer simplicity and easily controllable accuracy without the need of using numerical singularity extraction methods.