A Self-Sufficient Algorithm of the Method of Auxiliary Surface Currents in 3D Problems of Electromagnetic Scattering by Closed Perfectly Conducting Bodies

The algorithm proposed in the paper includes approximation of an original closed body by a polyhedron, use of combined auxiliary electric and magnetic surface currents uniformly distributed on each face, and fulfillment of boundary conditions for tangential components of electric field strength in the points of collocation in the centroid of each face, reducing the problem to a system of linear algebraic equations. The auxiliary currents found as a result of solution of the system are used for calculation of RCS of the body, as well as for calculation of real (not auxiliary) electric currents on the faces. The distributions of the real currents are substituted in the boundary conditions for electric and magnetic fields on the surface of the body for calculation of the residuals characterizing the accuracy of solution of the problem and providing self-sufficiency of the algorithm.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s1995080224605782
Primary Topic
Electromagnetic Scattering and Analysis
Type
article
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article

A Self-Sufficient Algorithm of the Method of Auxiliary Surface Currents in 3D Problems of Electromagnetic Scattering by Closed Perfectly Conducting Bodies

Dmitry Borisov, Sergei P. Skobelev
Lobachevskii Journal of Mathematics
Electromagnetic Scattering and Analysis
article

A Self-Sufficient Algorithm of the Method of Auxiliary Surface Currents in 3D Problems of Electromagnetic Scattering by Closed Perfectly Conducting Bodies

Dmitry Borisov, Sergei P. Skobelev
article en

Abstract

The algorithm proposed in the paper includes approximation of an original closed body by a polyhedron, use of combined auxiliary electric and magnetic surface currents uniformly distributed on each face, and fulfillment of boundary conditions for tangential components of electric field strength in the points of collocation in the centroid of each face, reducing the problem to a system of linear algebraic equations. The auxiliary currents found as a result of solution of the system are used for calculation of RCS of the body, as well as for calculation of real (not auxiliary) electric currents on the faces. The distributions of the real currents are substituted in the boundary conditions for electric and magnetic fields on the surface of the body for calculation of the residuals characterizing the accuracy of solution of the problem and providing self-sufficiency of the algorithm.

Lobachevskii Journal of MathematicsVol. 45(10)
Moscow Institute of Physics and Technology (RU), Moscow Power Engineering Institute (RU), All-Russian Scientific Research Institute of Radio Engineering (RU), Moscow Aviation Institute (RU)
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Openalex Percentile: Top 76%
Electromagnetic Scattering and Analysis
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