Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Vector potential in cavity of arbitrary shape

  1. Feb 2, 2010 #1
    we know that vector potential in a resonator satisfies the equation [tex]\int[/tex][tex]A[/tex]([tex]\lambda[/tex])[tex]A[/tex][tex]^{*}[/tex]([tex]\lambda[/tex][tex]^{'}[/tex])[tex]d[/tex][tex]V[/tex]=[tex]4[/tex][tex]\pi[/tex]c[tex]^{2}[/tex][tex]\delta_{\lambda\lambda[/tex][tex]^{'}[/tex]
    So how about in cavity of arbitrary shape? Does this equation still valid?
    Thanks!
     
  2. jcsd
  3. Feb 2, 2010 #2

    clem

    User Avatar
    Science Advisor

    The equation represents the orthogonality of modes of different frequencies.
    It would hold in a cavity of any shape, but the functions A would be harder to find.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook