Computation of electromagnetic wave multiple scattering in one-dimensional diffraction gratings by the matrix Riccati equation method

Resonant scattering of a plane electromagnetic wave on one dimensional diffraction gratings is considered. Reflection spectra and spatially reflected field patterns are calculated using the matrix Riccati equation method for silver grating with triangular cross section and rectangular grating in silicon-on-insulator based structure with different parameters (period and height of the grating, oxide layer thickness).