Dipole Antenna Radiation Pattern

This Demonstration plots the normalized E-radiation pattern of a center-fed linear dipole antenna with sinusoidal current distribution on the axis. Three of the sides of the cube correspond to intersections with the coordinate planes. There is a one-to-one correspondence between , , 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.



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


The normalized radiation pattern for the electric field of a symmetrical center-fed linear dipole antenna on the axis with sinusoidal current distribution is given by:
, where , .
is the second coordinate of the spherical system (, , ), with 0 at axis and at - (this is the variable t in the RadiationPattern function). is the total length per wavelength of the dipole (Lpwl variable). {E}max is the maximum value of {E} for each one dipole. So,
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.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+