Abstract-An asymptotic solution of a 3D vector diffraction problem for a vibrator system placed over a rectangular perfectly conducting screen of finite dimensions is obtained in the framework of the uniform geometrical theory of diffraction (UGTD) using the asymptotic expressions for the impedance vibrator currents. The system consists of two orthogonally crossed vibrators with equal dimensions but different surface impedances. The vibrators are excited in-phase. An algorithm and respective software for computing the directional, power and polarization characteristics of the radiation field of this antennas system are developed. The conditions required to form a circularly polarized radiation with a maximally attainable directivity in the normal direction to the screen are determined depending on the screen dimensions and the distance between the vibrators and the screen.

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