Antenna Gain Calculator
Output
About Antenna Gain Calculator
The Antenna Gain Calculator estimates the gain of an antenna based on its physical aperture area, the efficiency of its aperture, and the operating wavelength.
This is useful in antenna design to determine how effectively an antenna can direct radio frequency energy.
Formula
The antenna gain (G) is calculated using:
$$ G = \frac{4 \pi A \, e_A}{\lambda^2} $$
Where:
- A: Physical Aperture Area in m²
- eA: Aperture Efficiency (a dimensionless value between 0 and 1)
- λ: Wavelength in meters (converted from nm, µm, or Å)
Example Calculations
Example 1
- Efficiency (eA): 0.7
- Physical Aperture Area (A): 1 m²
- Wavelength (λ): 1000 nm = 1×10-6 m
Using the formula:
$$ G = \frac{4 \pi \times 1 \times 0.7}{(1 \times 10^{-6})^2} $$
This yields a gain of approximately: $$ G \approx 8.80 \times 10^{12} $$
Example 2
- Efficiency (eA): 0.5
- Physical Aperture Area (A): 0.5 m²
- Wavelength (λ): 500 nm = 5×10-7 m
Using the formula:
$$ G = \frac{4 \pi \times 0.5 \times 0.5}{(5 \times 10^{-7})^2} $$
This yields a gain of approximately: $$ G \approx 2.51 \times 10^{13} $$
Example 3
- Efficiency (eA): 0.9
- Physical Aperture Area (A): 2 m²
- Wavelength (λ): 2 µm = 2×10-6 m
Using the formula:
$$ G = \frac{4 \pi \times 2 \times 0.9}{(2 \times 10^{-6})^2} $$
This yields a gain of approximately: $$ G \approx 5.65 \times 10^{12} $$