Diffraction of electromagnetic plane wave by an infinite slit in a screen with surface impedance

Diffraction of an electromagnetic plane wave by an infinite slit in a screen with surface impedance is solved analytically as a boundary value problem under the assumption that the plane of incidence is normal to the slit in a screen of zero thickness surrounded by a homogeneous medium. The field expressions and the transmission coefficient are derived asymptotically, and their numerical solutions are presented for a special case of perfect conducting screen.