Near and far field are usually explained for transmitting antennas, but since antennas are reciprocal, I would expect a receiving antenna to have a near-field phenomenon.
1) Does the impinging field (from a far-away transmitting antenna) cause the receiving antenna to develop its own near field, and what is its "shape" or "quality"? (I realize it would depend upon how far apart the antennas are.)
2)Continuing with this idea, is there a simulation anywhere such as this one made at MIT: http://web.mit.edu/8.02t/www/802TEAL3D/visualizations/light/dipoleRadiationReversing/DipoleRadiationReversing.htm except it shows two antennas simultaneously, one receiving and one transmitting? (Preferably, it would be a simulation of a transient broadcast.)
3)If there is a derived near field at the receiver, does the receiving antenna then re-broadcast any energy?
4)Extra credit: Does this touch upon Physics' "Arrow of Time" question?