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The simplest monopole antenna consists of a vertical element with an optimal length λ/4 on the ground plane. The radius and the shape of the ground plane will affect the radiation pattern and input impedance of the monopole antenna (usually r >>λ/4).
the simplest equation to calculate the radiation diagram of the antenna
is the dependence on sin(theta).
Thete is the angle from the vertical line (monopol axis) to the connecting
line antena feed point to the observation point.
E proportional sin(theta). exp(-jkr)
k is the wave number (2pi/lambda) and r the distance antenna to
observation point
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