This calculator determines the effective aperture (Ae) of an antenna from its gain and its operating frequency. It allows us to understand the relationship between the size of the antenna, its gain and its capacity to capture or transmit the power of an electromagnetic signal.
Formulas
Ae = (λ² / (4 × π)) × G
Or
Ae = (c² / f²) × (G / (4 × π))
Explanation of formulas
The calculation is based on wavelength (λ), speed of light (c) and frequency (f). The antenna gain (G) is expressed in linear form. These equations show that the effective aperture increases with the square of the wavelength and the gain. An antenna with higher gain or operating at a lower frequency will have a larger effective area to pick up the signal.
Uses of the calculator
- Evaluate the reception performance of an antenna.
- Estimate the power received in a radio link.
- Compare the efficiency of different antennas according to their frequency and gain.
- Practical analysis tool for RF engineers and communications system designers.