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The most important electric dipole radiators are two linear antennas
each of length aligned parallel to the -axis, located at
and
located in Rindler sectors and ,
and hence accelerated into opposite directions. Suppose each
antenna has electric dipole moment
Its charge-flux four-vector obtained from Eq.(31) is
and the corresponding scalar source function for Eq.(27) is
|
(63) |
This source is symmetric around the -axis because it is non-zero only at .
The electric dipole moment is the proper volume integral of this source,
The axial symmetry of the source implies that its radiation is
independent of the polar angle . Consequently, except some for a
source-dependent factor, the scalar field in is the same
as Eq.(61).
One finds
This is the T.M. scalar field due to a pair of localized linear
antennas, both situated on the -axis, each one with its own
time-dependent dipole moment . By setting one of them to
zero one obtains the radiation field due to the other.
Next: Flow of Radiant T.E.
Up: Axially Symmetric Source and
Previous: Magnetic Dipole and its
Ulrich Gerlach
2001-10-09