This may be of passing interest. My own measurements seem to indicate the following behaviour as we approach a dipole or slot antenna.
At a great distance, the Power Flux Density falls off with the inverse square law (20dB/decade).
At a distance called the Rayleigh Distance, the pattern starts to become cylindrical rather than spherical and PFD begins to fall of with 1/D (10 dB/decade).
At distances closer than about lambda/5, the PFD remains constant, and either Bx or Hx also remains constant. The other reactive component continues to increase at 10dB/decade until the actual antenna is touched. As an example, for a dipole, equatorial plane, Bx increases right up until the probe touches the antenna, and the value measured then agrees with the B field corresponding to the antenna current and the wire radius.
In the case of a dipole, the Ex field in the equatorial plane remains constant from about lambda /5 until very close to the antenna, but then rises very locally as the feed point is approached and the local field of the driving voltage is seen.
If two dipoles are brought towards each other, the smallest path loss ever seen is 3 dB, even when they touch. This is because half the power is radiated and half is conveyed from one to the other. When two dipoles are brought together and touch, there is no jump in path loss.
I would like to mention that the set of radiation contours close to a dipole, published by Hertz, and repeated by Kraus, do not appear to show the reactive fields.