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

(62) |

and the corresponding scalar source function for Eq.(27) is

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.