Radiation Pattern of Uniform Linear Antenna Array

No. of Elements N
Element Spacing in Wavelength \(\lambda \) d
Phase Shift in degree \(\beta \)
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Normalized radiation pattern in rectangular plot YZ Cut Normalized radiation pattern in polar plot YZ Cut
Normalized radiation pattern in rectangular plot YZ Cut Normalized radiation pattern in polar plot YZ Cut
Uniform linear antenna array with the plane wave illumination

Formula

\(AF = \sum_{n=1}^{N}e^{j(n-1)(kdcos\theta +\beta )}\)
Where:
The angular wavenumber \(k=\frac{2\pi }{\lambda } \) expresses the number of radians in a unit of distance
N = number of antenna elements
d = distance between the antenna elements
\(\beta \) = relative phase shift

Other Related Calculator:
- Linear Antenna Arrays with Non-uniform spacing and weights

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