Reduction of Volume Integrals to Nonsingular Surface Integrals for Matrix Elements of Tensor and Vector Green Functions of Maxwell Equations

A procedure for the evaluation of matrix elements of tensor and vector Green functions with linear basis functions appearing in volumetric integral equations in electromagnetics is presented. The procedure reduces six-dimensional volumetric integrals with singular integrands to four-dimensional surface integrals with nonsingular integrands-hence, it offers simplicity and accuracy achieved at low computational cost.