Method of singular integral equations in diffraction by semi-in nite grating: H -polarization case

Abstract

Diffraction of the H -polarized electromagnetic wave by a semi-in nite strip grating is considered. The scattered eld is represented as a superposition of the eld induced by the currents on the strips of an in nite periodic grating and the eld induced by the correction current excited due to end of the grating. Singular integral equations with additional conditions for in nite and semi-in nite periodic gratings are obtained. The current on the strips and spectral function of scattered eld are expressed in terms of the solution of these equations. Numerical results for the near and far elds distribution are represented.