Electromagnetic Scattering From Two-Dimensional Arbitrary Objects Using Random Auxiliary Sources

A simple, fast, and efficient numerical solution for the electromagnetic scattering from 2-D arbitrary objects is proposed. Based on the surface equivalence principle and the use of novel equivalent problems with random auxiliary sources, more degrees of freedom are added, resulting in significantly fast solutions. Furthermore, the simplicity of the implementation is ensured by placing equivalent sources away from the surfaces to avoid any singularity treatment. Nevertheless, an iterative solution is invoked to ensure an acceptable error in satisfying the boundary conditions through any randomly generated equivalent sources. The presented technique promises a significant reduction in the execution time and memory requirements compared with the surface-equivalent-based method of moments (MoM) as the inherent properties of this procedure are used. Moreover, different boundary conditions are considered. Furthermore, comprehensive studies are performed to ensure the best performance, and the advantages of the technique are highlighted. The results of the presented technique are compared with series solutions for circular cylinders and the MoM for arbitrarily shaped objects and combinations of different materials.