Smooth Surface Blending for the 2-D Generalized Method of Moments

Accurate computation of scattered electromagnetic fields is challenging due to approximation inherent: 1) in the geometrical description of the object, and 2) functions that are defined on this geometric representation. In this letter, we present a partition of a unity-based scheme capable of recreating scattering geometries to very low error with an arbitrary degree of smoothness and global continuity of normals in two dimensions. This method is then coupled with the Generalized Method of Moments, a recently developed meshless boundary integral equation method, to compute scattered fields in two dimensions. Several examples illustrating accuracy and convergence of this approach are discussed.