Antenna Beamwidth Calculator | HPBW, E/H Plane & Gain

Antenna Beamwidth Calculator

Find the half-power beamwidth (HPBW) of a parabolic dish or aperture antenna from its diameter and operating frequency. Use a single round aperture, or enter separate width and height to get the E-plane and H-plane beamwidths, plus an estimated peak gain in dBi from the beam solid angle.

📡Choose an Aperture Type

🎯Real Antenna Presets

🔧Antenna Inputs

Center frequency of the antenna in the unit at right.

Wavelength is found as lambda = c / f.

Physical dish diameter, in the length unit at right.

Horizontal size sets the H-plane beamwidth.

Vertical size sets the E-plane beamwidth.

Applies to diameter, width and height.

Edge taper widens the beam and raises the constant k.

HPBW = k x lambda / D. 58 uniform, 70 typical.

Used only for the gain estimate, typically 55 to 70.

Controls rounding on every result card.

Half-Power Beamwidth 0 deg HPBW at minus 3 dB
E-Plane Beamwidth 0 deg vertical, from height
H-Plane Beamwidth 0 deg horizontal, from width
Estimated Gain 0 dBi from beam solid angle

🔢Formula Snapshot

lambdac / f
HPBWk lambda / D
70typical k
41253sq deg / sphere

📡Dish Diameter to HPBW at 10 GHz

Diameter DWavelengthHPBW (k = 70)Reads As
0.3 m30 mm7.00 degWide beam
0.6 m30 mm3.50 degBroad
0.9 m30 mm2.33 degModerate
1.2 m30 mm1.75 degNarrow
1.8 m30 mm1.17 degNarrow
2.4 m30 mm0.88 degTight
3.0 m30 mm0.70 degPencil
6.0 m30 mm0.35 degPencil

📊Beamwidth Constant by Illumination

IlluminationConstant kEdge TaperFirst SidelobeTypical Use
Uniform580 dB-13 dBTheoretical min
Light taper65-6 dB-20 dBHigh-gain feeds
Typical dish70-10 dB-24 dBMost reflectors
Cosine taper72-12 dB-23 dBHorns
Heavy taper73-15 dB-30 dBLow sidelobe
Gaussian75-18 dB-35 dBRadio astronomy
Cosine squared83-25 dB-42 dBVery low lobe

📏Frequency Band Wavelengths

BandFrequencyWavelengthCommon Use
UHF432 MHz694 mmEME, amateur
L-Band1.5 GHz200 mmGPS, satcom
S-Band2.4 GHz125 mmWiFi, radar
C-Band4 GHz75 mmSatellite TV
Ku-Band12 GHz25 mmVSAT, DBS
Ka-Band30 GHz10 mmHTS satcom
V-Band60 GHz5 mmmmWave links
W-Band94 GHz3.2 mmCloud radar

🗃Aperture and Frequency Beamwidth Comparison Grid

Aperture DFrequencyWavelengthHPBW (k = 70)First Null BWEst. Gain
0.6 m12 GHz25 mm2.92 deg5.83 deg35.5 dBi
1.2 m12 GHz25 mm1.46 deg2.91 deg41.5 dBi
1.8 m12 GHz25 mm0.97 deg1.94 deg45.0 dBi
2.4 m4 GHz75 mm2.19 deg4.37 deg38.0 dBi
3.0 m6 GHz50 mm1.17 deg2.33 deg43.4 dBi
0.3 m24 GHz12.5 mm2.92 deg5.83 deg35.5 dBi
0.9 m60 GHz5 mm0.39 deg0.78 deg52.9 dBi
34 m8.4 GHz35.7 mm0.073 deg0.147 deg68.0 dBi
1.0 m5.8 GHz51.7 mm3.62 deg7.24 deg33.6 dBi
4.5 m10 GHz30 mm0.47 deg0.93 deg51.4 dBi

Formula Breakdown

Wavelength lambda = c / fSpeed of light c is 299,792,458 m/s. A handy shortcut is lambda in meters equals 300 divided by the frequency in MHz. At 12 GHz, lambda = 0.025 m, or 25 mm.
HPBW = k x lambda / DHalf-power beamwidth in degrees for a round aperture. With k = 70, lambda = 0.025 m and D = 1.8 m: HPBW = 70 x 0.025 / 1.8 = 0.97 deg.
E-plane = k lambda / heightFor a rectangular aperture the vertical height sets the E-plane beamwidth. A taller aperture gives a narrower vertical beam.
H-plane = k lambda / widthThe horizontal width sets the H-plane beamwidth. Width and height can differ, producing a fan or elliptical beam.
Gain G = 41253 eta / (E x H)Directivity in linear terms is roughly 41253 times aperture efficiency divided by the product of the two beamwidths in degrees. Convert with G(dBi) = 10 log10 of that ratio.
First null = 2.44 lambda / DFor a circular aperture, the full first-null beamwidth in radians is 2.44 lambda / D. Multiply by 180 / pi to read it in degrees; it is about twice the HPBW.

💡Pointing and Link Tips

Point within half the HPBW: A 1.8 m Ku-band dish at 12 GHz has an HPBW near 0.97 degrees, so its half-power edge is only about 0.49 degrees off boresight. Mispointing by that much already costs 3 dB of signal, so mount alignment and wind sway must stay well inside a half-degree for a stable satellite link.
Bigger or higher narrows the beam: Doubling the dish diameter from 1.2 m to 2.4 m halves the HPBW from about 1.46 to 0.73 degrees and adds roughly 6 dB of gain. Likewise moving from 6 GHz to 12 GHz halves the wavelength and halves the beamwidth, which is why millimeter-wave links use tiny dishes yet still form pencil beams.

Getting your dish pointed is a tricky business, especially the first time you try. That’s because your margin of error might be smaller than a quarter held at arm’s length. This happens while you’re trying to find a signal from something 30 thousand miles away. So, you’ve got a receiver out there looking for a needle in a haystack and if you are off by a fraction of a degree, then the needle vanishes back into the noise.

This is when beamwidth gets real-world practical; will you make the link, or not? The answer lie in the half-power beamwidth (HPBW), which is the width of the invisible target your antenna aims at. In other words, HPBW describes the angular cone within which your antenna catches the majority of the power. It also include the points where the signal drops to half-strength.

What Is Half-Power Beamwidth and Why It Matters

Think about it: a small dish, at high frequency, produces a narrow beam. A large dish at high frequency squeeze this into a tight pencil beam. The tool figures this number for you using the frequency you’ll use and aperture diameter. Then you have some numbers to evaluate against stability of your mount. It’s really just basic math, but it has practical implications.

You know that the beam width follow a ratio involving wavelength and the diameter. The tool do this calculation for you. It also calculates wavelength for you, because wavelength = speed of light / frequency.

That leaves the illumination factor, typicaly shown by the letter k. It’s basically an adjustment for how even your feed horn illuminate the dish. The narrower the beam, the more uniform the illumination needs to be. In practice, however, feeds taper off at the edge a bit to keep sidelobes from interfering too much. This increases mainbeam angle just a little but filters out the noise floor a lot better. Typical standard dishes runs somewhere around $k = 70$, balancing good sidelobe behavior against overall gain.

Use some sort of special horn antenna or feed, and that constantly changes and affects the final beam angle. This is what make two otherwise identical dishes pointable within differing tolerances, based off feed type.

Rectangular apertures adds complexity because they don’t cast a perfect circle up in the sky. Sector panels and even horn antennas has different vertical and horizontal dimensions, resulting in an elliptical beam pattern. In this case, the calculator breaks these down into two values, H-plane and E-plane. Height is treated separately from width.

A wider antenna will narrow the horizontal beam and help isolate your signal from other base stations/satellites nearby. Taller, on the other hand, tightens vertical spread so you can reject reflections off buildings below or even ground clutter. Breaking these dimensions out like this clearly shows how physical form relate to coverage area. It turns the antenna into a shaped lens that you adjust the proportions of to create a tuned signal.

Conservation of energy also tie gain to beamwidth. You cannot have high gain without a narrow beam; to concentrate power in one direction means sending less everywhere else. That’s why it’s a good way to quickly test if the estimate is right. For instance, if you notice that your beamwidth is really small, then look out: that’ll result in a matching high decibel number.

In the case of an estimate like this, there’s some real world losses accounted for, such as surface roughness, feed blockage, etc. It never is perfectly efficient, so we add a factor into our math that accounts for realistic efficiency. The inverse relationship between gain and beamwidth is clear from the reference tables inside the tool. These demonstrate how doubling the diameter of your dish will halve its beamwidth and greatly increase its gain.

These calculations are put to the test in pointing accuracy. Because even slight thermal expansion (or wind sway) can shift the boresight away from the main lobe, accuracy is critical with a narrow beam. If your calculated Half Power Beam Width (HPBW) is a single degree, for example, you only have a half degree margin (on each side) before dropping three dB levels off signal. That’s not much wiggle room, so you must ensure the mount is rigid and take care during installation.

Conversely, a wide beam will forgive sloppy alignment…but also provides less isolation from interfering signals. So now that you know exactly what angle your dish should of be, how do you know if your mount and mechanical setup can support your radio needs? Understanding this moves you from guessing to engineering. You’re looking at a focused window into space. It is sized precisely to capture the signal and nothing more.

Antenna Beamwidth Calculator | HPBW, E/H Plane & Gain