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

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.