Analysis of Electromagnetic Scattering By Infinite Conducting Cylinders of Arbitrary Smooth Cross Section Using a Genetically Optimised Technique (Ga/Mas)

Heretakis, I.I.; Papakanellos, Panagiotis J.; Capsalis, Christos N.

doi:10.1163/156939302x00994

Cited by 5 publications

(4 citation statements)

References 11 publications

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“…The parameters of the GA are the coordinates of all the monopoles that form the two sets of the simulating auxiliary current sources. The objective of the GA is the minimization of the maximum boundary conditions errors following the procedure that is analyzed in detail in [12]. Additionally, the first generation of the GA sequence is forced to contain a chromosome that represents a standard MAS allocation approach.…”

Section: Genetically Optimized Allocation Techniquementioning

confidence: 99%

“…Likewise, an automatic multipole setting (AMS) procedure that simplifies the modeling effort for electrodynamic problems with complex boundaries was outlined in [11]. Another approach that attempts to automate the location of the simulating sources inside perfectly conducting cylinders for plane wave incidence was presented in [12] (GA/MAS technique). In particular, a genetic algorithm (GA) optimization procedure was utilized for the allocation of the auxiliary sources in order to minimize the boundary condition error (BCE) on the surface of the scatterer.…”

Section: Introductionmentioning

confidence: 99%

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

Heretakis

Papakanellos

Capsalis

2005

IEEE Trans. Antennas Propagat.

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A genetically optimized technique that fully automates the potentially laborious allocation of the auxiliary monopoles for the method of auxiliary sources (MAS) is presented for the problem of electromagnetic (EM) scattering by isotropic dielectric cylinders with various cross sections. The proposed technique uses as input information not only the geometry of the scatterer but also the exciting field and the material properties of the cylinders are implicitly taking part in the optimization procedure. The resulting auxiliary surfaces, where the simulating monopoles are situated, are appropriately adapted to the original boundary surface and the MAS modeling is greatly facilitated. In addition, certain considerations are taken into account in order to avoid undesirable numerical dependencies between the fictitious monopoles. Finally, the accuracy of the numerical method combined with overdetermined systems of equations is examined for isotropic cylinders of various geometries and dielectric characteristics.Index Terms-Boundary value problems, electromagnetic (EM) scattering, genetic algorithms (GAs), method of auxiliary sources.

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Section: Genetically Optimized Allocation Techniquementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Heretakis

Papakanellos

Capsalis

2005

IEEE Trans. Antennas Propagat.

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“…In [22], an application of the GA technique in order to find the location of auxiliary sources giving a minimum value of the boundary condition error, is presented. The principle of this technique is to fix a value of the number of auxiliary sources and then to apply the GA algorithm to obtain the position of these sources giving the low value of error on the boundary of the scatterer.…”

Section: Introductionmentioning

confidence: 99%

Optimization of the Method of Auxiliary Sources by the Genetic Algorithm for electromagnetic scattering problem

Hidouri¹,

Aguili²

2020

AEM

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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.

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“…Unfortunately, this optimization problem is not convex and has many local minima. Therefore, descent-type methods such as Gauss-Newton and Levenberg-Marquardt are sensitive to the initial source locations [12,31,32], while more robust methods that have been tried, such as simulated annealing [33] and genetic algorithms [34], may take a very long time to converge. Moreover, if the positions of the sources are adapted, the positions of the testing points must be adapted as well.…”

Section: Introductionmentioning

confidence: 99%

On the use of rational-function fitting methods for the solution of 2D Laplace boundary-value problems

Hochman

Leviatan

White

2013

Journal of Computational Physics

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A computational scheme for solving 2D Laplace boundary-value problems using rational functions as the basis functions is described. The scheme belongs to the class of desingularized methods, for which the location of singularities and testing points is a major issue that is addressed by the proposed scheme, in the context of the 2D Laplace equation. Well-established rational-function fitting techniques are used to set the poles, while residues are determined by enforcing the boundary conditions in the least-squares sense at the nodes of rational Gauss-Chebyshev quadrature rules. Numerical results show that errors approaching the machine epsilon can be obtained for sharp and almost sharp corners, nearly-touching boundaries, and almost-singular boundary data. We show various examples of these cases in which the method yields compact solutions, requiring fewer basis functions than the Nyström method, for the same accuracy. A scheme for solving fairly large-scale problems is also presented.

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Analysis of Electromagnetic Scattering By Infinite Conducting Cylinders of Arbitrary Smooth Cross Section Using a Genetically Optimised Technique (Ga/Mas)

Cited by 5 publications

References 11 publications

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

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

Optimization of the Method of Auxiliary Sources by the Genetic Algorithm for electromagnetic scattering problem

On the use of rational-function fitting methods for the solution of 2D Laplace boundary-value problems

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