A hybrid numerical technique is developed for electrically large pyram
idal horn antennas radiating in free space. A stepped-waveguide method
is used to analyze the interior surfaces of the horn transition. The
electric field integral equation (EFIE) is employed on the outer surfa
ces of the pyramidal horn including the radiating aperture. Meanwhile,
the magnetic field integral equation (MFIE) is used on the aperture t
o relate the aperture fields and those in the horn transition. The res
ultant hybrid field integral equation (HFIE) is solved numerically by
the method of moments. This formulation is both accurate and numerical
ly stable so that high-gain microwave pyramidal horns can be analyzed
rigorously. Far-field radiation patterns, both computed and measured,
are presented for three electrically-large X-band horn antennas. The c
omparisons demonstrate that this method is accurate enough to predict
the fine pattern structure at wide angles and in the back region. Comp
uted far-field patterns and aperture field distributions of two smalle
r X-band horns are also presented along with a discussion on the valid
ity of the approximate aperture field distributions routinely used in
the analysis and design of pyramidal horns.