A modified method for separating variables in the diffraction problem of TM-polarized wave on diffraction grating 

Yuriy G. Smirnov, 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

Background. The purpose of the work is to study the diffraction of a TM–polarized electromagnetic wave on diffraction gratings with several strokes on the period. Materials and methods. To solve the problem, a modified method of separation of variables is used. Results. The modified method for separatiing variables is applied to solving the problem of diffraction of a TM-polarized electromagnetic wave on diffraction gratings with several strokes on the period. Conclusions. The proposed method can be used to model complex diffraction gratings with a multilayer coating.

 diffraction gratings, modified method of separation of variables, electromagnetic TM-waves , differential equations

Smirnov Yu.G. A modified method for separating variables in the diffraction problem of TM-polarized wave on diffraction grating. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fiziko-matematicheskie nauki = University proceedings. Volga region. Physical and mathematical sciences. 2023;(1):3–14. (In Russ.). doi:
10.21685/2072-3040-2023-1-1