Methods of Mathematical Modeling in Waves Scattering on Local Inhomogeneous Interfaces between Two Media
- Authors: Il’inskii A.S.1, Galishnikova T.N.1
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 39, No 8 (2018)
- Pages: 1066-1074
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202965
- DOI: https://doi.org/10.1134/S1995080218080048
- ID: 202965
Cite item
Abstract
The processes of reflection of three-dimensional electromagnetic waves by locally irregular media interfaces are investigated. The boundary value problem for the system of Maxwell equations in an infinite half-space is reduced to the solution of two systems of singular integral equations. To construct a numerical algorithm for solving these systems of singular integral equations, the approximation and collocation method is used. Special attention is focused on calculation of the kernels of these equations. Solutions of systems of singular integral equations are used to calculated the far-field pattern for the scattered field in the far zone.
About the authors
A. S. Il’inskii
Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: celd@cs.msu.su
Russian Federation, Moscow, 119991
T. N. Galishnikova
Faculty of Computational Mathematics and Cybernetics
Email: celd@cs.msu.su
Russian Federation, Moscow, 119991