Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

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?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Nowhere stationary phase

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Nowhere stationary phase | Date |
---|---|

A Unwrapped Phase Function | Feb 2, 2018 |

I Phase space of a phase space? | Dec 31, 2016 |

Volume in n dimensions | Dec 24, 2015 |

How to compute phase of the signal? | May 10, 2015 |

Collision detection between a moving circle and stationary point | Aug 15, 2010 |

**Physics Forums - The Fusion of Science and Community**