Antenna Gain Calculator

The Formula

The formula for calculating antenna gain is:

\[Gain (dBi) = 10 \log_{10}\left(\frac{4\pi A}{\lambda^2}\right)\]

Where:

• Gain: The antenna gain in dBi (decibels relative to an isotropic radiator)
• A: The effective area of the antenna (in square meters)
• λ: The wavelength of the signal (in meters)

Calculation Steps

1. Calculate the wavelength (λ) from the frequency: λ = 300 / f (MHz)
2. Calculate the antenna area (A) from its dimensions
3. Apply the gain formula
4. Convert the result to decibels (dB)

Example Calculation

Let's calculate the gain for an antenna with the following parameters:

• Frequency: 2400 MHz
• Length: 0.0625 m
• Width: 0.0625 m

1. Calculate wavelength:

\[\lambda = \frac{300}{2400} = 0.125 \text{ m}\]

2. Calculate antenna area:

\[A = 0.0625 \times 0.0625 = 0.00390625 \text{ m}^2\]

3. Apply the gain formula:

\[Gain = 10 \log_{10}\left(\frac{4\pi \times 0.00390625}{0.125^2}\right) \approx 8.15 \text{ dBi}\]

Visual Representation

This visual shows a simplified representation of the antenna's radiation pattern based on the calculated gain. The actual pattern would depend on various factors including the antenna type and surrounding environment.