This Demonstration shows the electromagnetic fields for an electric dipole or a Hertzian dipole, the electric and magnetic fields, the associated energy densities, and the Poynting vector distributions. You can vary the dipole moment, frequency, and time for either a DC or static dipole field.
Snapshot 1: a magnetic field distribution
Snapshot 2: an energy density and Poynting vector distributions
Snapshot 3: a DC electric field
The electromagnetic fields of a Hertzian dipole can be analyzed using the electrical Hertz vector:
is the dipole moment (a vector in the
direction in this analysis), and
is the distance to the observation point. The energy density
The electric and magnetic fields can be calculated as follows:
In the sinusoidally oscillating dipole of
in cylindrical coordinates
, the field vectors in the
The total energy density
and Poynting vector
are given by
In the graphics, the field strengths are shown by color and the directions are shown by arrows.
The DC fields are obtained from the above equation, with the magnetic field equal to zero.
 J. A. Stratton,
, New York: McGraw-Hill, 1941.