Shortwave grazing scattering of a plane wave on a periodic structure composed of inclined half-planes

The scalar scattering problem of a plane wave on a periodic structure composed of an inclined half-planes is considered. The formula for the coefficients of plane waves in reflected wave field expression by means of the Wiener–Hopf method is received. In the case of small grazing angle and a short wave approximation a main term of this result is derived.