| Abstract: | The problem of scattering of a plane wave by a periodic structure consisting of inclined half-planes is considered. In the expression for the scattered field an exact formula for the excitation coefficients for the plane waves escaping into the upper half-plane is obtained by means of the Wiener-Hopf factorization method. In the case of short-wave grazing scattering of plane waves the leading term of the asymptotics is obtained from this result.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Vol. 179, pp. 58–66, 1989.The author wishes to express his gratitude to M. M. Popov for useful discussions and constructive remarks. |
