First-Order Singular Basis Functions for Corner Diffraction Analysis Using the Method of Moments

This paper presents a set of divergence-conforming basis functions to model the behavior of surface currents near the edges and corners of an infinitely-thin, perfectly-conducting polygonal flat plate. The basis functions are derived by imposing the edge and corner conditions on the first-order basis functions. Current distributions obtained using the new set of basis functions are compared with the exact solutions for several scattering configurations. Even though the proposed basis functions are not highest order complete, they provide accurate results without incurring complexity in the analysis or additional computational requirements.