V.4 No 1

23

Study of dynamic scalar potential

Thus, we have established that in the far field of dipole radiation, the gradient of scalar potential is perpendicular to the wave propagation. If now we select some region in the far field in the direction of normal to the dipole and consider it more attentively, we will yield the structure shown in Fig. 8.

Fig. 8. Force field of gradient of scalar potential in the far field of dipole on the normal to the dipole

In this diagram we see that the projections of vector of the field (red arrows) onto the corresponding sides of an arbitrarily chosen loop do not remain constant and equal to each other in time. At the same time, the curl of gradient of potential to be strongly zero, it is necessary, these projections to be strongly equal to each other in time and directed oppositely. Both conditions are violated. This shows the circulation of vector over the selected loop to be non-zero. From this automatically follows that the theorem of curl of potential vector proven in [9] is true, as well as the above statement that the curl of gradient of scalar potential in dynamic fields is not zero.