The diffraction of the normally incident plane wave by a grating over a chiral medium

A rigorous solution was sought for normal incidence of a plane electromagnetic wave on a planar strip grating placed over a chiral medium. The approach consists in drawing up the coupled systems of dual series functional equations for the Fourier coefficients describing the field in the chiral medium and in the following application of the analytical regularization procedure based on the Riemann-Hilbert boundary-value problem.