Uncovering the Mystery of the Electric Field of a Dipole Antenna

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SUMMARY

The electric field of a dipole antenna can be derived mathematically, particularly when considering its behavior at a distance. The analysis involves understanding electromagnetic fields, which are influenced by the currents and voltages induced in the antenna conductors. Both analytic and numerical methods, such as the method of moments and multipole expansion, are essential for accurate calculations. A half-wave dipole primarily exhibits dipolar characteristics, with minor quadrupolar contributions.

PREREQUISITES
  • Understanding of electromagnetic fields and their properties
  • Familiarity with dipole antenna theory
  • Knowledge of the method of moments for antenna analysis
  • Experience with multipole expansion techniques
NEXT STEPS
  • Study the method of moments for antenna modeling
  • Explore multipole expansion in electromagnetic theory
  • Learn about the radiation patterns of dipole antennas
  • Investigate numerical simulation tools for antenna design, such as CST Studio or ANSYS HFSS
USEFUL FOR

Electrical engineers, antenna designers, and researchers in electromagnetic theory will benefit from this discussion, particularly those focused on dipole antenna analysis and design.

Maike
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Hello,

Is it possible to derive the electric field of a dipole antenna mathematically?
Does it look like a pure dipole far away?
I am experimenting with these things and they are a bit mysterious to me.

Thanks for your answers!
 
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By "drive mathematically" do you mean a computer simulation or are you referring to some arbitrary function voltage function generator?
 
I assume you mean electromagnetic field, since "far away" means you are looking at radiation? The answer is yes, more or less. Antennas can be surprisingly complex to compute due to interactions between the drive, the currents/voltages induced in the conductors, and the reaction that the resulting fields produce back onto those currents/voltages. As a result, both analytic and numerical calculations are often iterative. The method of moments is one that is very widely used. You can also a perform multipole expansion. A half-wave dipole turns out to be mostly dipolar, with a small quadrupolar component (I forget how big--just a few percent, I think), and fairly negligible higher-order contributions.
 

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