Dipole Antenna Length Calculator, Radiation Pattern Plots

Total length of $____ $ $ \lambda $ dipole antenna is	$L $	____
Length of each dipole element is	$\frac{L}{2} $	____
Maximum Directivity is	$D $	____	dB
Radiation resistance based on current maximum	$R_{rad}$	____	ohm
Reactance based on current maximum	$X_m$	____	ohm
Input resistance	$R_{in}$	____	ohm
Input reactance	$X_{in}$	____	ohm

Normalized radiation pattern of $E_ \theta$ in rectangular plot elevation cut.	Normalized radiation pattern of $E_ \theta$ in polar plot elevation cut.
$Normalized radiation pattern of $E_ \theta$ in rectangular plot elevation cut$	$Normalized radiation pattern of $E_ \theta$ in polar plot elevation Ccut$

Formula

$\lambda=\frac{c}{\nu}$

$U(\theta) (pattern \, normalized) \simeq \left [ \frac{cos (\frac{kL}{2}cos \theta)-cos(\frac{kL}{2})}{sin\theta} \right ]^2$

Where:

$\lambda $ = Wavelength

$\nu $ = Frequency

$L$ = Total Length of Dipole Antenna

$U(\theta) (pattern \, normalized) $ =The normalized (to 0 dB) elevation power pattern over $\theta $

The angular wavenumber $k=\frac{2\pi }{\lambda } $ expresses the number of radians in a unit of distance

Normalized radiation pattern of \(E_ \theta\) in rectangular plot elevation cut.	Normalized radiation pattern of \(E_ \theta\) in polar plot elevation cut.
$Normalized radiation pattern of \(E_ \theta\) in rectangular plot elevation cut$	$Normalized radiation pattern of \(E_ \theta\) in polar plot elevation Ccut$

Total length of \(____ \) \( \lambda \) dipole antenna is	\(L \)	____
Length of each dipole element is	\(\frac{L}{2} \)	____
Maximum Directivity is	\(D \)	____	dB
Radiation resistance based on current maximum	\(R_{rad}\)	____	ohm
Reactance based on current maximum	\(X_m\)	____	ohm
Input resistance	\(R_{in}\)	____	ohm
Input reactance	\(X_{in}\)	____	ohm