Numerical Method for Solving a Diffraction Problem of Electromagnetic Wave on a System of Bodies and Screens

  • Mikhail Medvedik
  • Marina MoskalevaEmail author
  • Yury Smirnov
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 965)


The three-dimensional vector problem of electromagnetic wave diffraction by systems of intersecting dielectric bodies and infinitely thin perfectly conducting screens of irregular shapes is considered. The original boundary value problem for Maxwell‘s equations is reduced to a system of integro-differential equations. Methods of surface and volume integral equations are used. The system of linear algebraic equations is obtained using the Galerkin method with compactly supported basis functions. The subhierarchical method is applied to solve the diffraction problem by scatterers of irregular shapes. Several results are presented. Also we used a parallel algorithm.


Boundary value problem Inverse problem of diffraction Permittivity tensor Tensor Green’s function Integro-differential equation 



This study is supported by the Ministry of Education and Science of the Russian Federation [project 1.894.2017/4.6] and by the Russian Foundation for Basic Research [project 18-31-00108]. The research is carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University.


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Authors and Affiliations

  1. 1.Penza State UniversityPenzaRussia

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