A stochastically optimized adaptive procedure for the location of MAS auxiliary monopoles: the case of electromagnetic scattering by dielectric cylinders

IEEE Antennas Propag. Mag.

2015

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.

Section: Methods Of Mmpmentioning

confidence: 99%

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

IEEE Antennas Propag. Mag.

2015

“…The study concluded that this method is efficient for small objects and not reliable for large objects. Also, in [21], it has been concluded that the optimum choice of the sources' contour for best accuracy in boundary conditions satisfaction is not necessarily the most economical choice for the number of unknowns and consequently execution time in comparison to MoM.…”

Section: E Lectromagnetic (Em) Solutions For Open-boundarymentioning

confidence: 99%

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

IEEE Trans. Antennas Propagat.

2015

The electromagnetic (EM) scattering problem from three-dimensional (3-D) arbitrary composite objects is proposed using the random auxiliary sources (RAS) method. Based on direct application of the boundary conditions with the uniqueness theorem and the use of random equivalent problems concept, more degrees-of-freedom to the sources' positions are added resulting in significantly efficient solutions with lower memory requirements. The technique does not require any singularity treatment due to placing the equivalent sources away from the boundaries. While boundary conditions are not enforced exactly, an iterative framework is introduced that can achieve an acceptable level of error in their satisfaction for an arbitrary, randomly generated set of equivalent sources. The presented technique promises a significant reduction in the execution time and memory requirements compared to the surface-equivalent-based method of moments (MoM). The solution stability, repeatability, and numerical noise susceptibility are investigated thoroughly through this work. Also, a novel edge correction scheme has been implemented to extend the capabilities of this procedure to structures with sharp edges. The results of the presented technique are compared to series solutions for conducting spheres and a commercially available MoM code for arbitrarily shaped objects and combinations of different materials.Index Terms-Electromagnetic (EM) scattering, fast methods, frequency domain analysis, random auxiliary source (RAS) method.

“…This method showed that possible solutions for certain problems exist with less number of unknowns than what is offered by MoM. However, the method was proved to be not necessary efficient than MoM in terms of required unknowns and processing time for all problems [9]. Inspired by the previous findings, the use of numerical optimization to model antennas was introduced in [10] by matching the near field of an antenna with equivalent problem of a set of infinitesimal dipoles with arbitrary moments, orientations, and positions.…”

Section: Introductionmentioning

confidence: 96%

The random auxiliary sources method: A simple, fast, and efficient electromagnetic scattering computations approach

2015 IEEE International Conference on Computational Electromagnetics

2015

A simple, fast, and efficient approach to solve the electromagnetic (EM) scattering problem from arbitrary object is offered by the Random Auxiliary Sources (RAS) method. Based on direct application of the boundary conditions and projection of radiating modes with infinitesimal sources, the method is able to accurately solve problems with much less execution time than other comparable methods. The method is verified and compared to the Method of Moments (MoM) for 2D and 3D problems for accuracy and speed.