Numerical solution of electromagnetic wave diffraction by plane semi-infinite strip grating

The nonlinear operator equation in terms of the operator of reflection from a plane periodic semi-infinite grating of thin metal strips is solved numerically for the case of H-polarized electromagnetic plane wave incidence. The algorithm created allows obtaining the solution of a nonlinear operator equation in the Fourier amplitude of the reflected field by the method of successive iterations. The choice of initial approximation is substantiated, and the convergence of the solution is numerically verified. The field reflected by a semi-infinite grating (SIG) is calculated and analyzed for different numerical values of the excitation wave angle of incidence, the strip width and the incident field wavelength.