Numerical study of electromagnetic wave scattering from a non-homogeneous solid and curvilinear perfectly conducting screen 

Oleg S. Skvortsov, Student, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: ghj.ghh.13@mail.ru
Aleksey A. Tsupak, Candidate of physical and mathematical sciences, associate professor, associate professor of the sub-department of mathematics and supercomputer modeling, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: altsupak@yandex.ru 

Background. The purpose of the work is development, software implementation and testing of a projection method and a parallel algorithm for solving the problem of electromagnetic wave diffraction on a system of solids and screens. Material and methods. Galerkin method is implemented for the vector integro-differential equation of the diffraction problem; basis vector functions on a three-dimensional body and a parameterized nonplanar screen are determined; parallel algorithm for solving the problem is implemented using the MSMPI library. Results. approximate solutions of the model problem are compared with the previously published results; the inner convergence of the Galerkin method is investigated; dependence of the solution in the area of inhomogeneity on a perfectly conducting screen is investigated. Conclusions. The proposed method of approximation on a curvilinear screen is an effective method that significantly expands the class of diffraction problems solved by integral equations method; numerical tests confirmed high efficiency of the parallel algorithm. 

electromagnetic wave diffraction, inhomogeneous solid, curvilinear screen, system of integro-differential equations, basis functions, Galerkin method, parallel algorithm 

Skvortsov O.S., Tsupak A.A. Numerical study of electromagnetic wave scattering from a non-homogeneous solid and curvilinear perfectly conducting screen. Povolzhskiy region. Fiziko-matematicheskie nauki = University proceedings. Volga region. Physical and mathematical sciences. 2023;(3):46–65. (In Russ.). doi: 10.21685/2072-3040-2023-3-4