Dual-band feed horn with common beam widths

A dual-band feed horn comprising:

• a connection surface configured for connection to a waveguide;
• a first surface coupled to the connection surface, the first surface comprising a cylindrical surface having a length and a first diameter chosen to propagate TE11 modes for both a low-frequency band and a high-frequency band, wherein a bandwidth ratio of the high-frequency band to the low-frequency band is greater than 1.6 and less than or equal to 4.0;
• a substantially conical surface coupled to the first surface at a first slope discontinuity and comprising a plurality of surfaces each having a respective slope and coupled to adjacent surfaces by a respective plurality of slope discontinuities each having a respective diameter;
• and
• an aperture coupled to the conical surface;
• wherein the slopes and diameters are chosen to generate primarily TM1,m modes (m=1, 2, 3, etc.) in the high-frequency band and primarily higher-order TE1,n modes (n=2, 3, etc.) in the low-frequency band such that the low-frequency band and the high-frequency band have approximately equal beam widths.