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Help getting started with this integral

  1. Apr 14, 2012 #1
    Hello everyone,

    I'm having trouble understanding how to evaluate this integral. I am not sure whether there is a closed form solution.

    [itex]\int_{-\infty}^\infty e^{-j\sqrt{x^2+a^2}} e^{-jkx} dx[/itex]

    I am trying to express a polar wave as a summation of plane waves, and this integral drops out when solving for the amplitudes of the plane waves. Thanks very much for your help. A link to a reference, or the necessary techniques would be very helpful.

  2. jcsd
  3. Apr 23, 2012 #2
    Hi !

    Did you first check if the integral is convergent or not ?
    If not, are you sure that the given integral has a physical meaning ?
    (I think that the integral is not convergent).
  4. Apr 23, 2012 #3
    A typo in your integral ?

    Attached Files:

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