Accurate Nyström Solution for Electromagnctic Scattering by Sharp-corner Objects

The Nyström method solution for electromagnetic (EM) scattering by a sharp-corner object is presented. The object is assumed to be a perfectly electric conductor (PEC) and the problem is described by an electric field integral equation (EFIE). Compared to the method of moments (MoM), the merits of Nyström method include the simple mechanism of implementation, removal of basis and testing functions, allowance of using nonconforming meshes, and ease of enhancing numerical accuracy. Although the Nyström method has been widely used to solve various EM problems, it seldom dealt with the problems with highly sharp structures. In this work, the EM scattering by sharp-corner objects is considered and the method is applied to solve it. A numerical example is presented to demonstrate the method and good results have been obtained.