• DocumentCode
    1105833
  • Title

    Fast Hankel transform algorithm

  • Author

    Hansen, Eric W.

  • Author_Institution
    Dartmouth College, Hanover, NH
  • Volume
    33
  • Issue
    3
  • fYear
    1985
  • fDate
    6/1/1985 12:00:00 AM
  • Firstpage
    666
  • Lastpage
    671
  • Abstract
    The Hankel, or Fourier-Bessel, transform is an important computational tool for optics, acoustics, and geophysics. It may be computed by a combination of an Abel transform, Which maps an axisymmetric two-dimensional function into a line integral projection, and a one-dimensional Fourier transform. This paper presents a Hankel transform algorithm using a fast (linear time) Abel transform, followed by an FFT.
  • Keywords
    Acoustic diffraction; Acoustic propagation; Acoustic waves; Fast Fourier transforms; Fourier transforms; Frequency; Geophysics computing; Kernel; Optical computing; Optical diffraction;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1985.1164579
  • Filename
    1164579