Numerical study of electromagnetic field intensity in a partially shielded inhomogeneous half ball 

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 to develop, implement and test a projection method for comparing methods of focusing electromagnetic fields passing through a dielectric partially shielded half ball. Material and methods. The Galerkin method is implemented for the vector integro-differential equation of the diffraction problem; basic vector functions in a three-dimensional solid and a parameterized nonplanar screen are determined; a parallel algorithm for solving the problem using the MSMPI library is implemented. Results. Various options for shielding the half ball in order to focus the electric field inside the body were compared. Conclusions: the most effective method of focusing the wave in the proposed arrangement of the screen-body system has been selected. 

electromagnetic wave diffraction, inhomogeneous solid, curvilinear screen, system of integro-differential equations, Galerkin method, field focusing, microwave tomography 

Skvortsov O.S., Tsupak A.A. Numerical study of electromagnetic field intensity in a partially shielded inhomogeneous half ball. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fiziko-matematicheskie nauki = University proceedings. Volga region. Physical and mathematical sciences. 2024;(3):43–56. (In Russ.). doi: 10.21685/2072-3040-2024-3-4