Antenna Aperture Calculator

The Formula

The formula for calculating the effective aperture of an antenna is:

\[A_e = \frac{\lambda^2 G}{4\pi}\]

Where:

• A_e: Effective aperture (m²)
• λ: Wavelength (m)
• G: Antenna gain (linear scale, not dBi)

The wavelength is calculated as:

\[\lambda = \frac{c}{f}\]

Where:

• c: Speed of light (≈ 3 × 10⁸ m/s)
• f: Frequency (Hz)

Calculation Steps

1. Calculate the wavelength using the given frequency
2. Convert the antenna gain from dBi to linear scale
3. Apply the effective aperture formula
4. Round the result to the desired precision

Example Calculation

Let's calculate the effective aperture for an antenna with 6 dBi gain at 2400 MHz:

1. λ = 300 / 2400 = 0.125 m
2. G = 10^(6/10) ≈ 3.98
3. A_e = (0.125² * 3.98) / (4π) ≈ 0.0049 m²

Visual Representation

This visual represents the effective aperture of the antenna in our example calculation.