Abstract
In this paper, we propose to apply a technique of optimization of the convergence of the auxiliary sources method (MAS) for the problems of electromagnetic diffusion by a perfectly conducting and infinite obstacle. This technique is based on the use of the genetic algorithm (GA). Previous studies have shown that the convergence of the MAS solution depends on many parameters such as the number of auxiliary sources and the auxiliary distance between the real surface of the cylinder and the fictitious surface, and so on. The solution is obtained for a good choice of these parameters. In this article, the genetic algorithm is chosen to facilitate the choice of MAS parameters.
Highlights
The Method of Auxiliary Sources (MAS) [1,2,3,4,5] is a numerical method, which has been recently known to be a branch of the generalized multipole techniques (GMTs) [13, 14]
We present a combination MAS/genetic algorithm (GA) for the optimisation of the 2D electromagnetic scattering problem by an infinite PEC cylinder
The proposed study includes two objectives for the genetic algorithm that are the error on the boundary of the scatterer and the conditioning number for system’s matrix
Summary
The Method of Auxiliary Sources (MAS) [1,2,3,4,5] is a numerical method, which has been recently known to be a branch of the generalized multipole techniques (GMTs) [13, 14]. MAS is not frequently used as the other numerical method, like the Method of Moment (MoM) or the Finite Difference Time Domain (FDTD) [15], due to its limited robustness coming from the ambiguity found in the choice of its parameters It is shown in [23] that the convergence of the MAS solution for the scattering problem depends on many parameters. In [17] the authors studied the convergence of the MAS and showed that, for a limit number of auxiliary sources, it is possible to have a convergent solution for the MAS field with divergent solution for the MAS current This analysis discussed the effect of the auxiliary sources positions on the boundary condition error and on the condition number of the obtained linear system for the scattering problem. A good agreement is observed with the solution obtained with the standard MAS
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
