// multi-utility computation suite · offline · instant · precise
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sci.antenna-effective-aperture Calculator
Calculates effective aperture A_e = G × λ²/(4π) of a receiving antenna from gain and wavelength, and received power from the Friis equation. A 0 dBi isotropic antenna at 1 GHz has A_e = 7.2 cm² — a dish with 40 dBi gain has A_e = 720 m², the area intercepting power in free space.
Inputs
Gr Dbi
Reference formula or conversion factor shown for context.
F Ghz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Results
effective aperture Ae (cm²)
Reference formula or conversion factor shown for context.
equivalent diameter (cm)
The computed diameter -- twice the radius.
wavelength λ (cm)
The computed linear length.
Ae = Gr · λ² / (4π)
Reference formula or conversion factor shown for context.
gain (linear)
The improvement or increase over the baseline.
aperture efficiency
Useful output divided by total input, as a percentage. True 100% efficiency is impossible — losses appear as heat. LEDs: 30–50%. Electric motors: 85–97%. Switching supplies: 85–95%.