V.4 No 1

17

Study of dynamic scalar potential

However we may not use this analogy, because, as we showed in [1], in case of moving source the field considerable transforms, which has great effect on the field pattern in the near field. This transformation is well seen in animation [1, Fig. 5] which we show here in Fig. 4.

Fig. 4. Radiation of oscillating charge

In this diagram we see that at the distances R 6  from the oscillating source, the equipotential lines of field considerably oscillate as to the axis of radiation. This is caused by large variations of the angle under which we see the moving source from the observation point. We can eliminate these variations of equipotential lines neither diminishing the velocity of source nor changing the swing nor transforming the space-time metric, as in case of Lorentz reduction, nor substituting the time variables. In particular, if we change the oscillation velocity, this changes the radiation frequency, and the swing changes the amplitude and the size of near field. But the near field, with such introduced correlation, will be inaccessible for investigation, as (12) and (13) do not account the transformation of the field source occurring due to its motion. And the Lorentz' reduce is true only in case of uniform motion of the signal source. When non-direct trajectory and/or non-uniform motion of signal source, the delay phases from different locations of the source to the observation point will be complicated functions of time; but the main, for each point of space these functions will be different. So, even for a very limited region of space, it is impossible to choose some common regularity of transformation in time, doing not introducing some approximation preventing to study the near field.