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Waveguide - Two Materials

  1. Sep 4, 2009 #1
    1. The problem statement, all variables and given/known data

    I'm attempting to find the General solution and boundary conditions for a TE[tex]_{m0}[/tex] waveguide split up into two different materials: a (any) dielectric on the bottom, and a metallic conductor on top. Image attached.

    2. Relevant equations

    General (homogenous) Helmholt's equation (not sure how to use latex),
    E[tex]_{z}[/tex](x,y) = 0, because it's TE.
    E[tex]_{x}[/tex](x,b) = 0, tangential to top surface.

    3. The attempt at a solution

    The problem here is the curved line, which I have called as
    l = [tex]\stackrel{b}{a}[/tex]*x. I'm thinking I can cancel out the partial derivatives with respect to y if I make the length, l, a function of x only.

    Also, I can easily plug in n=0, but I have to derive the particular solutions before.
     

    Attached Files:

  2. jcsd
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