The present invention relates to an antenna system to be mounted on or above an object while protecting said object 00 from the rays of said antennas. According to the present invention, said antenna System consists of at least one group (21, 22; 100) of © at least two antennas. The antennas (221, 222, 223; 111, 112, 113) are positioned relative to one another such that the emitting lobes thereof, which face space E, where said object is located, overlap one another. Said antennas are supplied with power such that the electromagnetic fields, respectively emitted in said emitting lobes which face space E, interfere with one another such that the power o from the electromagnetic field resulting from said interferences is reduced in said space E in comparison to what the power would be without any interference.