Singular Edge and Corner Basis Functions for Scattering from Conducting Plates

The Method of Moments (MoM) is an efficient way of obtaining solutions of integral equations for 2D and 3D electromagnetic structures by subdividing them into simple shapes such as triangles and rectangles and using suitable polynomial basis functions to describe fields or currents. In the presence of sharp edges and corners, the currents may be unbounded and the accuracy of the solution may be poor due to the inappropriate model provided by a polynomial basis. Attempts to improve the accuracy by increasing the number of cells or the polynomial order of the basis functions may fail as a result. In this paper new basis functions are proposed with unbounded behavior, to more efficiently model edge and corner singularities for quadrilateral cells.