Dipole-shaped antenna element arrangement having the following features: - comprising two pairs (2, 3) of radiator halves (2a, 2b, 3a, 3b) which are arranged so as to be rotated by 90° to one another, in such a way that the dipole-shaped antenna element arrangement transmits and/or receives in two polarisation planes (4a, 4b) which are arranged perpendicularly to one another; - the radiator halves (2a, 2b, 3a, 3b) can be arranged in a radiator plane at a distance in front of a reflector and in parallel therewith; - a support arrangement comprising a first end and a base which is arranged at a second end which is opposite the first end, the radiator halves (2a, 2b, 3a, 3b) being arranged at the first end of the support arrangement and thereon, and the base being able to be arranged on a base body; and - a passive beam-shaping frame which is arranged at a distance from the radiator halves (2a, 2b, 3a, 3b) towards the base; - the passive beam-shaping frame consists of a plurality of frame sides (15a, 15b, 15c, 15d) which form a peripheral frame web which defines an opening; - the passive beam-shaping frame is oriented in parallel with the radiator plane; - the passive beam-shaping frame has, in the region of the corners thereof, a broadening of the peripheral frame web thereof, said broadening of the frame web extending in parallel with the radiator plane and/or transversely to the radiator plane, characterised by the following features: a) a plurality of metal strips, the metal strips being oriented in parallel with the radiator plane; the radiator halves (2a, 2b, 3a, 3b) are arranged lying closer to the base than the metal strips; in a plan view of the dipole-shaped antenna element arrangement, the metal strips are arranged in the region of the outer sides of the radiator halves (2a, 2b, 3a, 3b); and/or b) a plurality of frame sides (15a, 15b, 15c, 15d) of the passive beam-shaping frame each comprise at least one vane in the middle thereof; the vanes extend in parallel with the radiator plane or transversely to the radiator plane. - comprising two pairs (2, 3) of radiator halves (2a, 2b, 3a, 3b) which are arranged so as to be rotated by 90° to one another, in such a way that the dipole-shaped antenna element arrangement transmits and/or receives in two polarisation planes (4a, 4b) which are arranged perpendicularly to one another; - the radiator halves (2a, 2b, 3a, 3b) can be arranged in a radiator plane at a distance in front of a reflector and in parallel therewith; - a support arrangement comprising a first end and a base which is arranged at a second end which is opposite the first end, the radiator halves (2a, 2b, 3a, 3b) being arranged at the first end of the support arrangement and thereon, and the base being able to be arranged on a base body; and - a passive beam-shaping frame which is arranged at a distance from the radiator halves (2a, 2b, 3a, 3b) towards the base; - the passive beam-shaping frame consists of a plurality of frame sides (15a, 15b, 15c, 15d) which form a peripheral frame web which defines an opening; - the passive beam-shaping frame is oriented in parallel with the radiator plane; - the passive beam-shaping frame has, in the region of the corners thereof, a broadening of the peripheral frame web thereof, said broadening of the frame web extending in parallel with the radiator plane and/or transversely to the radiator plane, a) a plurality of metal strips, the metal strips being oriented in parallel with the radiator plane; the radiator halves (2a, 2b, 3a, 3b) are arranged lying closer to the base than the metal strips; in a plan view of the dipole-shaped antenna element arrangement, the metal strips are arranged in the region of the outer sides of the radiator halves (2a, 2b, 3a, 3b); and/or b) a plurality of frame sides (15a, 15b, 15c, 15d) of the passive beam-shaping frame each comprise at least one vane in the middle thereof; the vanes extend in parallel with the radiator plane or transversely to the radiator plane.