On the inclusion of edge effects into surface vector basis functions

Generally speaking, problems in radar scattering, antenna and microwave fields involve material objects made of conductors, dielectrics and their combinations. Most often solution to these problems cannot be found in the analytical form. In the case when these problems are treated in the frequency domain, numerical solutions are very often based on the MoM (Method of Moments) applied to the SIE (Surface Integral Equation). Efficiency and accuracy of the MoM/SIE method depends among others on the choice of basis functions. Usually, adopted basis functions are well behaved and do not take edge effects into account. It is shown that in the case when edge effects are included into analysis of an infinite strip and a square plate, the accuracy and stability of the solution are improved. The first goal of this paper is to develop such basis functions that at the same time: a) satisfy the continuity equation at the surface ends and junctions, and b) take the edge effects into account. The second goal is to compare the efficiency and accuracy of the method that includes edge effects with the method that does not include these effects.