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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2016 Issue 1, Pages 37–49 (Mi ivpnz255)

Mathematics

A numerical method for solving electromagnetic wave diffraction problems on the system of crossing bodies and screens

M. A. Moskaleva

Penza State University, Penza

Abstract: Background. Mathematical modeling of diffraction of electromagnetic waves on screens and bodies of various forms is an important aspect in modern electrodynamics. The goal of this work is to research a problem of electromagnetic wave diffraction on a system of crossing bodies and screens of irregular shapes by the numerical method. Materials and methods. The method for solving the electromagnetic wave diffraction problem on the system of bodies and screens of irregular shapes was considered. The set problem was represented as a system of integro-differential equations. This system was solved by the projection method. The numerical results are presented. Results. The authors visualized the behavior of the incident field, resulting in mathematical modeling of the system of crossing bodies and screens. The developed program and algorithm allow to define a system of integro-differential equation solution modulus to which the electromagnetic wave diffraction problem is reduced. Conclusions. The developed program and algorithm can be used for solution of vector problems of electrodynamics and mathematical modeling of electrodynamic process and objects, for example, diffraction problem solution in resonant frequency bands.

Keywords: diffraction task, system of integro-differential equations, Galerkin method, grid basis function, generalized computational grid.

UDC: 517.958, 537.876.46



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