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Fast Hankel transform algorithm. (English) Zbl 0621.65132
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.
MSC:
65R10Integral transforms (numerical methods)
65T40Trigonometric approximation and interpolation (numerical methods)
42A38Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
44A15Special transforms (Legendre, Hilbert, etc.)