A mode converter for converting transverse electric modes into hybrid modes of type EH.sub.mn and including a circular waveguide provided with corrugations extending in a circumferential (azimuth) direction that become deeper toward its end and are continued in a subsequent helically outlined aperture antenna with constant depth. The emitted radiation is circularly polarized and, by the use of suitable reflectors for the emitted radiation, may be cause to be linearly polarized. The emitted radiation no longer has any sidelobes in the far field and its characteristic has a Gaussian profile over the azimuth angle.