Title :
Fast Hankel transform algorithm
Author_Institution :
Dartmouth College, Hanover, NH
fDate :
6/1/1985 12:00:00 AM
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;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1985.1164579