Radiation Pattern of Non-Uniform Linear Antenna Array

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Graph Legend
Antenna Element -> 1 2 3 4 5 6 7 8 9 10
Weight
Progressive Phase Shift in degree
Distance from first element in \(\lambda \)

The number of elements could be reduced from the default of 10 elements by simply putting last element weights zero. For example, The 5 element array weight would be [1 1 1 1 1 0 0 0 0 0]. To introduce the progressive phase shift of 45 degrees for five elements, update the "Progressive Phase Shift in degree" section as [0 45 90 135 180 0 0 0 0 0]. The uniform distance of 0.5 \(\lambda\) could be entered in "Distance from first element" section as [0 0.5 1.0 1.5 2 0 0 0 0 0]. The distance from first element could be also non-uniform for example [0 0.6 1.0 1.2 1.8 0 0 0 0 0]. This distance and phase for the first element is zero

Please press the "Compute" button to calculate and plot the radiation pattern of non-uniformly excited and non-uniformly spaced array

Normalized rectangular plot YZ Cut Normalized polar plot YZ Cut
Normalized radiation pattern in rectangular plot YZ Cut Normalized radiation pattern in polar plot YZ Cut
Non-uniform linear antenna array with the plane wave illumination

Formula

\(AF = \sum_{n=1}^{N}a_{n}e^{j(kd_{n}cos\theta +\beta )}\)
Where:
The angular wavenumber \(k=\frac{2\pi }{\lambda } \) expresses the number of radians in a unit of distance
N = number of antenna elements
\(a_{n}\) = weight of nth antenna element
\(d_{n}\) = distance of nth antenna element from first element in \(\lambda \)
\(\beta \) = relative phase shift
For the above nonuniform distance antenna array calculator the phase value of each element has to be in degrees relative to the first element
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