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

Abstract

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.

Keywords

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