A. V. Sochilin, S. I. Eminov
In theory of dipole antennas, the main tasks are defining of the electromagnetic waves in the far field and defining the entrance resistance.
It was considered the tube vibrator with ideal conducting infinitely thin wall-sides, positioned in the free space.
On the vibrator surface it should be the boundary condition, connecting magnetic field and density of the surface currents.
The expression for magnetic field of dipole antenna near field was derived. Numerical calculations are include and high efficiency of used method is shown.