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

Author
Sied Kamal Etesami
malek ashtar university of technology
Abstract
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.
Keywords
Scattering of Electromagnetic Waves
Anisotropic Medium
RBF-FD method
meshless methods
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