ON A METHOD FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION
ON A DIFFRACTION GRATING 

Gusarova Elena Vasil'evna, Postgraduate student, Penza State University (40 Krasnaya street, Penza, Russia), gusarova.gu@yandex.ru
Smirnov Yuriy Gennad'evich, Doctor of physical and mathematical sciences, professor, head of the sub-department of mathematics and supercomputer modeling, Penza State University (40 Krasnaya street, Penza, Russia), mmm@pnzgu.ru
Tsupak Aleksey Aleksandrovich, Candidate of physical and mathematical sciences, associate professor, subdepartment of mathematics and supercomputer modeling, Penza State University (40 Krasnaya street, Penza, Russia), altsupak@yandex.ru

517.958:535.4 

10.21685/2072-3040-2020-3-3 

Background. The aim of the study is to develop a numerical method for solving the problem of diffraction of electromagnetic waves on a two-dimensional periodic diffraction grating.
Materials and methods. A modified method of separation of variables in the region of inhomogeneity is used to solve the problem of diffraction of electromagnetic waves by a two-dimensional periodic diffraction grating.
Results. A modified method of separation of variables in the region of inhomogeneity is presented for solving the problem of diffraction of electromagnetic waves on a two-dimensional periodic diffraction grating.
Conclusions. The proposed numerical method is an effective tool for solving the problem of diffraction of electromagnetic waves on a two-dimensional periodic diffraction grating. 

electromagnetic waves, diffraction gratings, variable separation method.

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