When ac current passes through a conductor, there is a magnetic field that exists around the conductor and there is an electric field that exists along the length of the conductor. If energy leaves the conductor and radiates away, never to return, the field contains both electric and magnetic parts that cannot be separated. This is a radiating, or electromagnetic field.
So, in the industry, if we say electromagnetic field, we are referring to a radiating field, which describes energy is passing through space (power is actually flowing through space). The magnetic field that exists around a conductor and that is not part of the radiating field is storing energy, but that energy is returned to the conductor at some point. We call this the Near magnetic field or just the magnetic field. Similarly the near electric field does not radiate and only stores energy to be returned to the conductor.
The near field and far field of the magnetic energy are not really separate, they are parts of the same overall magnetic field. We just call them different things to distinguish between the energy that does not radiate away and the energy that does. Same with electric.