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Zbl 0621.65132
Hansen, Eric W.
Fast Hankel transform algorithm. (English)
[J] IEEE Trans. Acoust. Speech Signal Process. 33, 666-671 (1985). ISSN 0096-3518

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 2000:: *65R10 Integral transforms (numerical methods)
65T40 Trigonometric approximation and interpolation
42A38 Fourier type transforms, one variable
44A15 Special transforms

Keywords: Fourier-Bessel transform; fast Fourier transform; Hankel transform; inverse transform; Fourier transform; Abel transform

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