Solving the problem of electromagnetic wave diffraction at a finite plane grating with small elements

- Two approaches for the solution of the problem of diffraction on a plane finite grating are developed.
- Comparison of the patterns obtained by both methods is made.
- Verification of the optical theorem for different grating element shape is made.
- Comparison of the results obtained for finite and infinite gratings is carried out.

Two approaches for solving the three-dimensional problem of wave diffraction at a finite grating consisting of bodies of revolution are proposed. An approximate solution is obtained for a grating with small elements. This solution is applied to consider gratings with a large number of elements. The coincidence of the results obtained by the two methods is shown. The reflection and transmission coefficients are compared for finite and infinite gratings.