I checked Jackson, section 8.2, and he covers rectangular waveguides. However, I'm looking for a treatment of a waveguide consisting of two infinite conducting sheets. Am I looking in the wrong section?
Just follow the general method Jackson describes, but for your own particular boundary conditions (i.e., infinite extent in one direction).
Also, you might try looking up cylindrical wave expansions. I don't know if Jackson covers that. But you should be able to express your answer simply in terms of complex exponentials in the z direction (to satisfy boundary conditions on the plates), and cylindrical waves in the radial direction.
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