Local meshless finite difference method based on radial basis functions for solution of electromagnetic waves scattering from an anisotropic infinite cylinder with arbitrary cross section

In this study‎, ‎an advanced meshfree technique is formulated to investigate the electromagnetic wave scattering problem from an infinitely transversally large anisotropic cylinder with arbitrary cross section‎. ‎A meshless local finite difference‎- ‎radial basis function is used to discrete the anisotropic interior (inside the scatterer) and isotropic exterior (outside the scatterer) problems‎. ‎The anisotropic and ordinary  Helmholtz operator‎ ‎inside and outside the scatterer are approximated by linear‎ ‎combinations of the generalized multiquadric radial basis functions‎. ‎The proposed numerical technique is an efficient instrument to deal with practical complex scatterers and also has a good advantage in treating the material discontinuity at the interface between two‎ ‎different media‎. ‎To confirm the accuracy and efficiency of this method‎, ‎in some numerical examples‎, ‎the radar cross section of some anisotropic scatterer with different cross section is calculated and compared with the answers obtained from analytical methods‎.