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Fourier transform in curvilinear coordinates

  1. Apr 16, 2015 #1
    Hello, can you suggest a good book reference to find this:

    I have a 3D coordinate system where the axis are:
    1) locally tangential to a spiral in the equatorial plane;
    2) perpendicular to 1 in the equatorial plane;
    3) colatitude.

    The direction of axes 1 and 2 changes with position.
    I need to do the Fourier transform of a quantity and it's convenient that the 3D scalar product in the exponential exp(i k x) has one axis parallel to axis 1.
    How the scalar product in exp(i k x) for the Fourier transform is expressed in the coordinates 1-2-3?
    How the volume element dk_x dk_y dk_z reads in the coordiantes 1-2-3?
    Thanks
     
  2. jcsd
  3. Apr 21, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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