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The student must accept his instructor's initial premise that the
incident microwave radiation has the polarization he alleges.
It is all a bit of a swindle, you see, so I say that one should
swindle on the side of the angels.....
I expect that given a waveguide of the usual rectangular form,
and given that one accepts that the emergent e field is parallel
to its short side for the usual propagation mode, then one
would see that the e field is normal to the pickets of a
cake-tray polarizer?