OK. Assuming your guide is matched to the magnetron frequency so the guide is conducting in the fundamental mode, the electric field will stretch across the shorter dimension of the guide. Looking down at the wider side, the magnetic fields will obtain as regions of alternating circulation, strung along the length of the guide. In each region the magnetic field circulates, alternately clockwise, then counter clockwise. The loops of field lines get more rectangular in shape on the outside of these regions as the field lines get closer to the walls and the adjacent loops.
Still looking down on the widest side of the guide, along the longitudinal centerline the magnetic field is transverse to the Poynting vector along the length of the guide. But close enough to the walls the magnetic fields have a larger longitudinal component, than transverse, because of the looping business.
(I suppose this means the Poynting vector ducks in and out of the guide wall-I hadn't thought about it.)
So these loops of field, and electric field too, race down the guide at some velocity greater than c, that is a function of the guide width.
The same field patterns are obtained as the interferance from a multiple source array, spaced a little more than half(?) a wavelength apart--as can be shown using boundary conditions.