Hello JED and Happypolygon.
Many thanks for the detailed responses.
This last one looks perfect! It's unbelievable the quality of animation we're close to achieving! There is nothing like it on the internet...
Just two details, could we replicate them in series, for both sides (positive x and negative x?). Carefully examining your last project, I think the replication of the loops could come when the two charges reverse position (the red one going up to the maximum position, and the blue one going down to the minimum position). Also, can we synchronize them with concentric circles around the vertical axis? If we achieve that, the problem would be solved!
See, the most accurate model I've seen on the internet so far are in these photos below in terrible resolution! In the first one (from a Japanese website) it shows how the field is generated close to the source (near-field radiation, NFR). This is the one we're working on! The second image (from a German website) shows (in addition to the NFR) the far-field radiation, which you and JED have already solved, illustrating how the wave behaves far from the source.
Note two observations:
1) That although the figure (in Japanese) shows three electric field loops, just one like you made seems to me to be enough, as the picture should be clearer and easier to understand.
2) That important for the model from the point of view of physics. In blue we have the magnetic field lines (concentric circles that should expand as the wave spreads). These circles are synchronized with the movement of the electric field lines and must be oriented in one direction when the charge rises and in the opposite direction when the charge falls.
Bests
Eudes