Beamwidth Calculator
Calculate antenna beamwidth using frequency and antenna diameter.
2
Inputs
Live
Math
3
Related
Enter parameters and click Calculate to view results
Formula & Theory
HPBW ≈ 70 × λ / DThis formula is used to calculate antenna parameters for beamwidth calculator.
Overview
The Beamwidth Calculator estimates the Half-Power Beamwidth (HPBW, 3 dB beamwidth) in degrees and radians for circular aperture antennas (such as parabolic dish reflectors). By providing operating frequency and physical reflector diameter ($D$), RF engineers can quickly assess directional radiation focus and spatial coverage angle.
Input Guide
Enter Frequency, Antenna Diameter exactly in the units shown by this beamwidth. Check the operating band, unit prefix, and decimal position before calculating; these are the inputs used by the formula.
- Frequency — use MHz.
- Antenna Diameter — use m.
Output Guide
The results describe the calculated beamwidth values for the inputs you entered. Check each value against the available space, selected components, feed system, and operating conditions before making a final design decision.
How This Calculator Works
The Beamwidth uses HPBW ≈ 70 × λ / D. Supply Frequency (MHz), Antenna Diameter (m) in the displayed units, then use the calculated values as the first engineering target for this basic antenna parameters design or analysis.
Design Notes
Half-Power Beamwidth represents the angular width of the main radiation lobe between the points where radiated power drops to half (-3 dB) of its peak value. For circular apertures with typical edge illumination tapers (such as $-10\text{ dB}$ parabolic dish feeds), HPBW is approximated using $\theta_{3dB} \approx 70 \times (\lambda / D)$ degrees. Increasing dish diameter ($D$) relative to wavelength ($lambda$) produces a narrower, more highly directional main beam, which maximizes directive gain but requires tighter alignment tolerances.
Build and Tuning Notes
Verify antenna beamwidth through 2D or 3D far-field radiation pattern cuts using an automated antenna turntable in an anechoic chamber. Note that non-uniform feed illumination, aperture blockage from feed support struts, and dish surface roughness widen the measured beamwidth and increase sidelobe levels relative to theoretical predictions.
Frequently Asked Questions
What is Half-Power Beamwidth (HPBW) in antenna design?
HPBW (or 3 dB beamwidth) is the angle across the main lobe where the radiated power density decreases to 50% (-3 dB) of its maximum value. It defines the effective spatial coverage area of a directional antenna.
How are Antenna Gain and Beamwidth inversely related?
High antenna gain requires focusing RF energy into a smaller spatial region. Therefore, doubling the directive gain roughly halves the 3 dB beamwidth area, making alignment significantly more precise.
What is the difference between HPBW and First Null Beamwidth (FNBW)?
HPBW measures the angular distance between the -3 dB power points, whereas First Null Beamwidth (FNBW) measures the total angular width between the first nulls flanking the main lobe. For circular apertures, $\text{FNBW} \approx 2.2 \times \text{HPBW}$.
Why does operating frequency affect dish antenna beamwidth?
Higher frequencies shorten the wavelength ($lambda = c / f$). Because HPBW is proportional to $lambda / D$, operating a dish antenna of fixed diameter ($D$) at a higher frequency narrows the beamwidth and boosts directivity.
Alex Warren
B.Sc. in Electrical & Electronic Engineering (EEE)
Alex specialises in antenna design and wave propagation. His expertise helps ensure these calculators present practical RF concepts, useful design estimates, and clear engineering guidance for students, HAM operators, and wireless professionals.