Multi-band antennas for simultaneously communicating linear polarity low-band signals and circular polarity high-band signals via a single antenna horn structure. The antennas horn structures have circular and oblong cross-sections. Strategic location and orientation of low-band and high-band ports with respect to internal ridges in transition sections and the major and minor axes of the oblong horn allows the antenna to simultaneously manipulate the high-band circular polarity signal without affecting the linear polarity low-band signals. The oblong horn shape and ridges may apply additive or oppositely sloped differential phase shifts to the linear components of the circular polarity high-band signal. For the horns with circular cross-section, the internal ridges may apply additive or oppositely sloped differential phase shifts to polarize the circular polarity high band signals without assistance from the internal shape of the horn.