1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted