[Physics] EM waves

[Art Funkhouser]

Hi,

When I first learned about E and B fields, I was told that the E field 
is at its maximum when the B field is changing the most rapidly.

And the same for the B field.

This would imply that the E and B vectors in a plane polarized EM wave 
would be shifted 90° in phase.

Maxwell's equations, though, predict that they would be in phase (i.e., 
no phase shift).

If the energy of an EM wave is proportional to E^2 (also to B^2), then 
it (the energy) would be pulsed (if they are in phase).

Apparently EM waves start out from an antenna with a 90° phase shift 
(near field) and are later in phase (far field).

As the EM wave proceeds from the near field to the far field, the E 
vector and the B vector must slowly shift phase in order to end up being 
in phase.

At some time this must have been experimentally verified.

Can someone point me to the paper (maybe even in the 1800s) where this 
was shown to be true?

Or later replication(s)?

Thank you.

Best,

Art Funkhouser, Bern, Switzerland