A method of fabricating an antenna including a plurality of radiating waveguides disposed so that their wave paths are parallel two by two and including a feed waveguide having a wave path forming a flat zigzag serpentine pattern. The feed waveguide is disposed against the radiating waveguides so that a longitudinal axis of the feed waveguide pattern intersects the radiating waveguides at an angle of substantially 90 degrees. The feed waveguide includes coupling elements on its face in contact with the radiating waveguides. The radiating waveguides are straight and the straight portions of the zigzag wave path in the feed waveguide form a non-zero angle with the wave paths of the radiating waveguides, so that the coupling elements feed the radiating waveguides.