What does this boundary condition mean?

  1. One of the boundary conditions for a homogeneous uniform waveguide is [tex]\frac{\partial H_z}{\partial n}=0[/tex]. What does this mean physically?
     
  2. jcsd
  3. Meir Achuz

    Meir Achuz 2,056
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    I tried to put it into words, but the equation is clearer.
    d/dn means the derivative in the direction perpendicular to the wall.
     
  4. Hello!! I have a question related to this. This boundary condition yield from n.B = 0 , but i dont know how, from considering a cylindrical waveguide. I know that there is an equation (first of 8.24 from Jackson) but i dont realice how to use it. If u know, please let me know. Thankss
     
  5. Meir Achuz

    Meir Achuz 2,056
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    You must mean Eq. (8.30): [tex]\partial_n(B_z)=0[/tex] at the surface.
    It follows from (8.24) by dotting it with n. The two terms on the LHS are zero, giving the BC on B_z. Then, it follows That [tex]H_z(x,y)\sim\cos(m\pi x/A)\cos(n\pi y/B)[/tex]
    for an AXB rectangular guide.
     
    Last edited: Mar 2, 2013
  6. Thank you so much!
     
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