Antenna Beamwidth Calculator
Output
About Antenna Beamwidth Calculator
The Antenna Beamwidth Calculator estimates the beamwidth of a parabolic antenna based on its operating wavelength, the diameter of its physical aperture, and a constant factor \( k \) specific to the antenna type.
This helps in understanding the directivity and coverage area of the antenna.
Formula
The antenna beamwidth (θ) is calculated using:
$$ \theta = \frac{k \lambda}{d} $$
Where:
- \( \lambda \): Wavelength in meters (converted from nm, µm, or Å)
- \( d \): Diameter of the physical aperture in meters
- \( k \): Constant factor for the type of parabolic antenna (often = 70)
- \( \theta \): Antenna Beamwidth (in radians or degrees, depending on calibration)
Example Calculations
Example 1
- Wavelength (λ): 1000 nm = \(1 \times 10^{-6}\) m
- Diameter (d): 1 m
- k: 70
Using the formula:
$$ \theta = \frac{70 \times (1 \times 10^{-6})}{1} = 7 \times 10^{-5} $$
This yields a beamwidth of approximately \(7 \times 10^{-5}\) (radians).
Example 2
- Wavelength (λ): 2 µm = \(2 \times 10^{-6}\) m
- Diameter (d): 0.5 m
- k: 70
Using the formula:
$$ \theta = \frac{70 \times (2 \times 10^{-6})}{0.5} = 2.8 \times 10^{-4} $$
This yields a beamwidth of approximately \(2.8 \times 10^{-4}\) (radians).