Directive gain of horizontal impedance vibrator located over finite-size perfectly conducting screen

The 3D vector problem of diffraction of the field of a thin impedance vibrator located over an ideally conducting infinitely thin rectangular screen is solved. The vibrator may have surface impedance distributed over its length. Asymptotic expressions for the current on a horizontal impedance vibrator placed over an infinite plane, obtained by averaging method were used. Full radiation fields in all observation space in the far zone were found by the uniform geometrical theory of diffraction. The directive gain and other characteristics of the resonant impedance vibrator placed above an infinite plane and square screen versus the vibrator dimensions, the surface impedance value, removing from the screen, and screen sizes were studied.