Complete basis functions set for curved scatterers based on shannon sampling theorem

The method of moments (MoM) with triangular surface discretization has become one of the most used techniques for solving electromagnetic scattering and radiation problems. This approach uses planar triangles to model the geometry and div-conforming basis functions to represent the surface current (Rao et al., 1982). The planar triangle surface approximation, however, can lead to significant discretization errors when surfaces with high curvature are modeled. In near-field analysis the fidelity of the geometry modeling greatly impacts the accuracy of solutions so it is important to model curved features with curvilinear basis functions. In this paper we present a new complete set of curvilinear basis function able to represent any current on a curved surface.