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Homework Help: Rectangular waveguide

  1. Dec 7, 2013 #1
    1. The problem statement, all variables and given/known data

    I have a rectangular, hollow, conductor. Something like this:


    The length in z direction should be infinite. The propagation of electromagnetic waves in the conductor are given via the equations:

    2. Relevant equations

    [itex]\Delta \vec{E} = \frac{1}{c^2} \frac{\partial^2 \vec{E}}{\partial t^2}[/itex]

    [itex]\Delta \vec{B} = \frac{1}{c^2} \frac{\partial^2 \vec{B}}{\partial t^2}[/itex]

    Question 1: Which boundary conditions follow for the E field? And what does that mean for the B field?

    3. The attempt at a solution

    Well. Since there are free charges in the conductor, the tangential component of the E field should be 0 (otherwise the charges would start to move). Which in return means the normal component of the B field must also be 0.

    Is there more I could derive from this or is that it? My answer seems a bit too simplistic ...
  2. jcsd
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