The optimization principle of polyhedral array radiator number and geometrical sizes of pyramid at a given gain on a scan sector boundary are considered in [1, 2]. This gain loss estimation is approximated because the diffraction effects on the object – carrier and mutual coupling of radiators are not taken into account [3]. Besides, the results [2] concern to the object-carrier as a regular truncated pyramid.

In the report the polyhedral antenna array (Fig. 1a) is considered. It comprises a main subarray on an upper side (roof of the mobile object) and one or several additional subarray located on inclined sides.