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Sandy, 

that is ingenious thinking, but I think there are practical factors 
that will confound it.

Is the stuff you are heating uniform?

Your magnetron is not the same as a radar magnetron;  it puts 
out a range of wavelengths, not exactly 2,450 MHz. 

Also, it is not phase locked like a radar magnetron so there are
plenty of harmonics.

And, you can't be sure how the waves are propagating in the 
cavity of the microwave;  there is no reason why they must 
bounce back and forth nicely between the walls and at right 
angles to them.  They can be angling from corner to corner 
and edge to edge, so that the projections onto the horizontal
plane do not have to be half wavelengths ....

All best,  Peter Anderson
(once upon a time a radar technician, 
but now thoroughly out of date.)

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