Wave reflection from a diffraction grating consisting of absorbing screens: Description in terms of the Wiener-Hopf-Fock method

摘要

A two-dimensional problem of wave reflection from a diffraction grating is considered for the case of grazing incidence. The wavelength is assumed to be small. The diffraction grating has a periodicity cell consisting of two semi-infinite absorbing screens perpendicular to the edge of the grating. It is known that, for a grating with a cell consisting of one screen, the reflection coefficient tends to -1 as the angle of incidence tends to zero. It is shown that this result is valid for the case of a period containing two screens. The study is carried out in terms of the Wiener-Hopf-Fock method. A matrix factorization problem is formulated. The solution to the problem is unknown and remains so within the present study. The limiting reflection coefficient is investigated without constructing the solution by using the approach proposed by L.A. Weinstein.