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!

Nowhere stationary phase

  1. Sep 20, 2011 #1
    Hi all,
    I have an integral defined as a fourier transform of the exponential of a function:
    [tex] \mathcal{A}(\mathbf{q})=\int d^2 b e^{i \mathbf{q} \cdot \mathbf{b}}(e^{i \chi(\mathbf{b})}-1)[/tex]
    Approximating this integral via the stationary phase method (neglecting here the question of a small parameter), we look for points where
    [tex]\frac{d\chi}{db}=q[/tex]
    However, it turns out that the derivative of my function chi is bounded above, and I'm interested in values of q that exceed my maximum value of d(chi)/db. Is there anything I can say about this integral if I can't calculate it?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

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



Similar Discussions: Nowhere stationary phase
  1. Phase angle (Replies: 2)

Loading...