Electromagnetic-Wave Diffraction by a Grating with a Chiral Layer

We consider the vector problem of diffraction of an obliquely incident, elliptically polarized wave by a one-dimensional periodic grating located in a layered medium with a chiral layer. The use of analytical regularization based on the Riemann-Hilbert problem allows us to obtain a rigorous and efficient method for solving such diffraction problems. The performed numerical study reveals certain features of diffraction in the presence of a chiral medium.