Evaluation of Galerkin integrals involving triangular-type wire-to-surface junctions in the method of moments

The objective of this paper is to provide efficient and reliable numerical procedures for the evaluation of the Galerkin testing integrals with the use of the triangular-type wire-to-surface junction function. The 1/ρ singular behavior of the testing integrands is removed before the evaluation, leading to two-dimensional integrations suited for its numerical implementation. Compact closed-form approximations are also given that allows to speed up the computations while maintaining a high level of accuracy. The proposed procedure guarantees the reliable application of the Galerkin´s formulation to the analysis of arbitrary configurations of wires and surfaces, using the Rao-Wilton-Glisson basis functions for surfaces and its counterparts for wires and wire-to-surface junctions.