RBF-FD Solution of Electromagnetic Scattering Problem

In recent years, mesh-free approaches have become a widely used alternative to conventional methods, such as the Finite Element Method, in solving numerical scattering problems. In this work a local Radial Basis Generated-Finite Differences method is used to investigate the electromagnetic scattering problem of an infinitely long anisotropic circular cylinder, described by two coupled complex partial differential equations. The method proves useful for treating the complex valued solutions of the problem with material discontinuity at the junction between the anisotropic cylinder and free space. The numerical solution is compared to a known analytical solution in terms of accuracy and the values of Radar Cross Section.