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

Abstract

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.

Efficient Electromagnetic Scattering Computation Using the Random Auxiliary Sources Method for Multiple Composite 3-D Arbitrary Objects

“…These sources are incorporated into the RAS procedure presented in [25] solving the boundary condition E s,1 t (r) = −E i t (r), where E s,1 t (r) is the scattered tangential electric field due to sources proposed in iteration 1.…”

“…The concept of using randomly distributed line sources to solve arbitrary 2-D scattering problems has been presented in [25]- [27]. These papers presented a thorough study about the implication of using this technique on a wide range of 2-D scattering problems in terms of simulation time and memory requirement.…”

“…The solution procedure of the proposed techniques follows the previously introduced approach for 2-D problems for the different boundary conditions [25]- [27] with a prespecified error tolerance criterion. The main difference between the 2-D version and the current 3-D version is the positioning scheme for infinitesimal dipole sources in a volume compared to an area in the 2-D version.…”

“…The sources may be of electric type, or magnetic type, or their combinations, even if the scatterer is conducting-type or dielectric-type. The main procedure of the proposed RAS method used for all boundary conditions can be used exactly as the 2-D solution procedure presented in [25].…”

“…The iterative solver is developed to make use of all the obtained solutions, even if they are not satisfactory with respect to the required tolerance in the boundary condition. As shown in the flowchart in [25], the excitation vector in (7) is updated after each iteration to incorporate previous solutions in the current solution to go, namely…”