The present invention relates to an antenna (7) for an aircraft (1), the antenna being fitted with a coaxial cable provided with a coaxial connector (25) comprising a core (26) and shielding (27), the coaxial cable (24) being suitable for being connected to a source (40) for co-operating with the antenna (7). The antenna comprises a cable-cutter device (10) having a frame (12) carrying two sharp edges (11), said antenna (7) including an impedance-matching system (35) connecting said frame (12) to said core (26), said frame being a radiating member of the antenna.