Investigation of the Effect of Boundary Edges Placed on an Infinite Conducting Surface and Effective Treatment Using Virtual Vertices

Omitting the boundary edges in the process of the method of moments, when they are placed on an infinite conducting surface, is critical in solving half-space scattering problems by application of the image theory. In this letter, an effective treatment for those edges using virtual vertices is presented. In the half-space scattering problem, we first investigate the effect of boundary edges, which are segmented by Rao-Wilton-Glisson basis functions, on an infinite conducting surface. We then propose a simple and effective treatment to acquire accurate results by eliminating numerical errors caused by those edges. Virtual vertices make it possible to effectively compute the scatterer on a conducting plane without significant changes in the computational procedure.