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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 10 — Oct. 1, 1999
  • pp: 2581–2582

Fast Hankel transform of nth order

José A. Ferrari, Daniel Perciante, and Alfredo Dubra  »View Author Affiliations

JOSA A, Vol. 16, Issue 10, pp. 2581-2582 (1999)

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An analytical form that provides a computationally efficient algorithm for numerical evaluation of the Hankel transform of nth order by fast-Fourier-transform techniques is presented and tested with some well-known functions.

© 1999 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing

Original Manuscript: February 24, 1999
Revised Manuscript: May 25, 1999
Manuscript Accepted: May 25, 1999
Published: October 1, 1999

José A. Ferrari, Daniel Perciante, and Alfredo Dubra, "Fast Hankel transform of nth order," J. Opt. Soc. Am. A 16, 2581-2582 (1999)

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  1. A. Agnesi, G. C. Reali, G. Patrini, A. Tomaselli, “Numerical evaluation of the Hankel transform: remarks,” J. Opt. Soc. Am. A 10, 1872–1874 (1993). [CrossRef]
  2. J. A. Ferrari, “Fast Hankel transform of order zero,” J. Opt. Soc. Am. A 12, 1812–1813 (1995). [CrossRef]
  3. G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1970), Chap. 11, p. 490.
  4. S. Colombo, Les Transformations de Mellin et de Hankel, Monographies du Centre d’Etudes Mathématiques en vue des Applications déjà parues et éditées par le Centre National de la Recherche Scientifique (CNRS) (CNRS, Paris, 1959).
  5. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in C (Cambridge U. Press, New York, 1996), Chap. 4, p. 132.

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