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As best as I understand it, the electromagnetic field itself is what propagates electromagnetic radiation (including light). You can visualize a wave of light as being a disturbance or change in an electromagnetic field that moves through the field at the speed of light.
A bit like pulling yourself up by your own bootstraps? The electric field propagates and the magnetic field comes along for the ride?Am I close?
I understand the force carriers of an EM wave are photons
I've seen it described in different ways. Another way I've seen it described is that the electric component of the photon gives rise to a magnetic component and that in turn gives rise to another electric component and the process repeats. : https://upload.wikimedia.org/wikipedia/commons/c/cd/The_Photon.png
I thought fields extended indefinitely in space.That image seems to show the two fields extending a finite distance .Do they actually extend indefinitely in the direction at right angles to the direction of propagation? (the image being for illustrative purposes)