An antenna cover is provided, including a first base body and at least two first fins arranged on the first base body, the first base body having a curved surface, the two first fins being arranged symmetrically to a longitudinal axis of symmetry of the antenna cover and extending substantially parallel to the longitudinal axis of symmetry, the at least two first fins having a width that tapers as a distance from the first base body increases, and the at least two first fins being arranged with a spacing that corresponds substantially to the width of the at least two fins. A method for producing a lens-shaped antenna cover is also provided.
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