Antenna Gain Calculator
Calculate antenna gain in dBi from aperture dimensions, frequency, and efficiency. Includes beamwidth and effective aperture area.
About this calculator
This calculator estimates the gain of an aperture-type antenna -- a parabolic dish, horn, or flat-panel array -- from its physical size, operating frequency, and aperture efficiency, using the standard aperture-gain relation G = (4π × η × A) / λ². Here A is the physical aperture area (Aperture Width times Aperture Height), η is Antenna Efficiency, and λ is the wavelength, which the calculator derives from Frequency (wavelength = speed of light / frequency, so higher frequencies mean shorter wavelengths). Because gain scales with the aperture area measured in wavelengths -- effectively the aperture squared relative to λ -- the same physical dish produces far more gain at a high frequency than at a low one, which is why microwave and millimeter- wave links use comparatively small dishes for enormous gain while VHF/UHF antennas need to be physically large to achieve similar directivity.
Antenna Efficiency (typically 50-65% for a well-designed parabolic reflector) accounts for real-world losses -- spillover past the reflector edge, surface/manufacturing errors, blockage from the feed structure, and non-uniform illumination -- that keep effective aperture below the physical aperture. The Horizontal and Vertical Beamwidth outputs use the widely cited 70λ/D rule-of-thumb for a parabolic reflector's half-power beamwidth; it assumes a fairly typical illumination taper, and this calculator applies it independently to each aperture dimension, so it approximates a rectangular-aperture antenna rather than a perfectly circular dish. This model does not account for sidelobe levels, cross- polarization, impedance-mismatch (VSWR) loss, near-field effects at very short range, or atmospheric/rain attenuation along the actual link -- all of which affect real-world performance beyond the gain figure alone.
Inputs
Results
Gain
11.92 dBi
Horizontal Beamwidth
46.63°
How to Use This Calculator
- Enter the center frequency (MHz or GHz).
- Set aperture width and aperture height in meters (for parabolic dish or horn antennas).
- Enter antenna efficiency (0.55-0.70 is typical for a well-designed reflector).
- Review calculated gain in dBi and linear scale, effective wavelength, and half-power beamwidths.
- Use gain value in link budget calculations to determine received signal strength.
How the result changes with Frequency
| Frequency | Gain | Horizontal Beamwidth |
|---|---|---|
| 450 | 5.9 dBi | 93.27° |
| 675 | 9.42 dBi | 62.18° |
| 1,350 | 15.45 dBi | 31.09° |
| 2,250 | 19.88 dBi | 18.65° |
What each input means
- Frequency
- Operating frequency of the antenna in megahertz
- Aperture Width
- Physical width of the antenna aperture in meters
- Aperture Height
- Physical height of the antenna aperture in meters
- Antenna Efficiency
- Antenna aperture efficiency (typical parabolic dish: 50-65%)
How this is calculated
Formula
G = (4π × η × A) / λ²Worked example, using the default values
- Identify Input Parameters4 parametersFrequency = 900, Aperture Width = 0.5, Aperture Height = 0.5, Antenna Efficiency = 55 = 4 input(s) provided
- Calculate GainGain11.92 = 11.92
- Calculate Horizontal BeamwidthHorizontal Beamwidth46.63 = 46.63
- Calculate GainGain15.6 = 15.6
- Calculate WavelengthWavelength0.3331 = 0.3331
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does gain increase so much at higher frequencies for the same dish size?
Because gain depends on the aperture's physical size measured in wavelengths, not in meters. Raising Frequency shortens the wavelength while Aperture Width and Aperture Height stay fixed, so the same reflector becomes electrically larger and Gain climbs steeply -- this calculator's Gain rises monotonically with Frequency across its full 1 MHz to 100 GHz range at any fixed aperture and efficiency. This is why a small satellite-TV dish at 12 GHz achieves gain that would require an enormous antenna at VHF frequencies.
What Antenna Efficiency value should I use for a typical dish?
50-65% is typical for a well-designed parabolic reflector with a standard feed, which is why that range is called out in the Antenna Efficiency field's help text. Higher-quality reflectors with optimized feeds and low surface error can reach into the 65-70% range, while a poorly illuminated or badly blocked aperture can fall well below 50%. Raising Efficiency always raises this calculator's Gain output at fixed frequency and aperture size, since effective aperture is simply efficiency times physical aperture.
Is the 70λ/D beamwidth formula an exact calculation?
No -- it is a widely used engineering approximation for a parabolic reflector's half-power beamwidth, not an exact solution of the antenna's radiation pattern. The constant is commonly cited as 70 for a fairly typical illumination taper, though other references use values from roughly 58 to 70 depending on the assumed taper and reflector shape. This calculator applies the 70λ/D form independently to Aperture Width and Aperture Height, which approximates the beamwidth of a rectangular-aperture antenna such as a horn rather than a perfectly circular dish.
Does making the aperture wider always narrow the beam?
Yes -- Horizontal Beamwidth is inversely proportional to Aperture Width across this calculator's entire 0.01 m to 50 m range at any fixed frequency, because the 70λ/D approximation puts the aperture dimension directly in the denominator. The same relationship holds between Aperture Height and Vertical Beamwidth. A physically larger aperture always trades a wider footprint for a narrower, more concentrated beam.
Why does this calculator report Gain in dBi instead of just a plain multiplier?
dBi (decibels relative to an isotropic radiator) compresses gain's enormous working range -- from roughly unity for a small element to tens of thousands for a large dish -- onto a compact logarithmic scale that's easier to add and subtract in a link budget. This calculator reports both: Gain (Linear) is the raw ratio (4π × effective aperture / λ²), and Gain in dBi is simply 10 × log10 of that same linear value.
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