Antenna Fundamentals and Integration Advanced Antenna Topics Informational

What is the half-power beamwidth of a conical horn antenna as a function of aperture diameter and frequency?

The half-power beamwidth (HPBW) of a conical horn antenna is inversely proportional to the aperture diameter measured in wavelengths, following the relationship: HPBW approximately 58.4 x lambda / D [degrees] for the E-plane and approximately 67.4 x lambda / D [degrees] for the H-plane, where D is the aperture diameter and lambda is the free-space wavelength at the operating frequency. These formulas assume a TE11 mode excitation (the dominant mode in a circular waveguide feeding the horn) and a uniform phase distribution across the aperture (achieved when the horn length is much greater than D^2/lambda, the Fraunhofer condition). As the frequency increases (lambda decreases), the beamwidth narrows proportionally for a fixed aperture diameter. As the aperture diameter increases, the beamwidth also narrows. The gain of the conical horn is related to the beamwidth: G approximately 27,000 / (HPBW_E x HPBW_H) [linear] or G_dBi approximately 10 log(27,000 / (HPBW_E x HPBW_H)). For a well-designed conical horn, the maximum aperture efficiency is approximately 52% (for the TE11 mode), giving G_max approximately 0.52 x (pi D / lambda)^2. Example: at 10 GHz (lambda = 30 mm) with D = 100 mm: HPBW_E approximately 17.5 degrees, HPBW_H approximately 20.2 degrees, gain approximately 20.3 dBi.
Category: Antenna Fundamentals and Integration
Updated: April 2026
Product Tie-In: Antennas, Arrays, Feeds

Conical Horn Antenna Beamwidth Analysis

Conical horn antennas are widely used as standard gain antennas for calibration, as feeds for reflector antennas, and as standalone antennas for moderate-gain applications. Understanding the beamwidth-aperture relationship is essential for selecting the right horn size for a given application.

ParameterLow GainMedium GainHigh Gain
Gain Range2-6 dBi6-15 dBi15-45 dBi
Beamwidth60-360°15-60°1-15°
Typical TypesDipole, monopole, patchYagi, helical, hornParabolic, array, Cassegrain
BandwidthNarrow to wideModerateNarrow to moderate
ComplexityLowMediumHigh
  • Performance verification: confirm specifications against the application requirements before finalizing the design
  • Environmental factors: temperature range, humidity, and vibration affect long-term reliability and parameter drift
  • Cost vs. performance: evaluate whether the application demands premium components or standard commercial grades
  • Interface compatibility: verify impedance, connector type, and mechanical form factor match the system architecture
Common Questions

Frequently Asked Questions

What is the optimum horn length for a given aperture?

The optimum gain horn (balancing aperture size and phase error) has a length of L = D^2 / (3 lambda). This gives a maximum phase error of approximately 3/8 wave across the aperture, reducing the gain by approximately 2.5 dB from the ideal uniform-phase value. For a 100 mm diameter horn at 10 GHz: L_optimum = 100^2 / (3 x 30) = 111 mm. Longer horns reduce the phase error but have diminishing returns in gain improvement.

How does a conical horn compare to a pyramidal horn?

The conical horn (circular aperture) produces a nearly circular beam with slight ellipticity (E-plane narrower than H-plane by approximately 15%). The pyramidal horn (rectangular aperture) produces independent beamwidths in E and H planes determined by the aperture dimensions. Pyramidal horns are standard for measuring antenna gain (standard gain horns) because their gain is calculable from the aperture dimensions. Conical horns are preferred as reflector feeds because the circular symmetry matches the circular reflector aperture.

Can I make a very wide beamwidth horn?

Small aperture horns (D < lambda) have very wide beamwidths approaching the open-ended waveguide pattern (> 80-100 degrees). However, below approximately D = lambda, the horn gain drops below approximately 5-7 dBi and the pattern becomes less well-defined. For very wide beamwidth with good pattern quality: use a Potter horn (dual-mode horn with TM11 mode added to the TE11 mode), which provides a symmetric pattern with controlled beamwidth and very low cross-polarization.

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