Method of singular integral equations in diffraction by semiinfinite grating: E-polarization case

Abstract

Diffraction of the E-polarized electromagnetic wave by a semiinfinite strip grating is considered. The scatteredfield is represented as a superposition of the field induced by the currents on the strips of an infinite periodic grating andthe field induced by the correction current excited due to end of the grating. A singular integral equation with additionalconditions for correction current density is obtained. A solution for the infinite periodic grating in the E-polarization caseis obtained from the corresponding solution for the H-polarization case using the duality principle. Numerical resultsfor the current density and far fields distribution are represented.