Dipole Antenna Radiation Pattern

​
L/λ
0.1
mesh
none
automatic
full
opacity
​
step [°]
3
goal
Speed
This Demonstration plots the normalized E-radiation pattern of a center-fed linear dipole antenna with sinusoidal current distribution on the
z
axis. Three of the sides of the cube correspond to intersections with the coordinate planes. There is a one-to-one correspondence between
x
,
y
,
z
and the colors red, green, blue. The length/wavelength (Lpwl) of the dipole ranges from 0.1 to 10 in steps of 0.1. The default 3D evaluation is done at every 3°. 2D evaluation is always carried out at 1°. A small delay may be needed to get a smooth overall picture.

Details

The normalized radiation pattern for the electric field of a symmetrical center-fed linear dipole antenna on the
z
axis with sinusoidal current distribution is given by:
E=
E
E
max
, where
E=
cos
π Lcos(θ)
λ
-cos
πL
λ

sin(θ)
,
0≤θ≤π;0.1≤
L
λ
≤10
.
θ
is the second coordinate of the spherical system (
r
,
θ
,
ϕ
), with 0 at
+z
axis and
π
at -
z
(this is the variable t in the RadiationPattern function).
L
λ
is the total length per wavelength of the dipole (Lpwl variable).
E
max
is the maximum value of
E
for each one dipole. So,
0≤E≤1.
Mesh and Opacity controls correspond to the well-known options of Mathematica 7, while the goal control stands for Mathematica's PerformanceGoal.
The "step[°]" control changes the number of plot points for the 3D radiation pattern. The initial value of 3° results in a smooth object. SphericalPlot3D was chosen, instead of RevolutionPlot3D or ParametricPlot3D, since it was faster.

External Links

Virtual Antennas, Volume 1, 1999 (Wolfram Library Archive)

Permanent Citation

Nikolitsa Yannopoulou, Petros Zimourtopoulos
​
​"Dipole Antenna Radiation Pattern"​
​http://demonstrations.wolfram.com/DipoleAntennaRadiationPattern/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011