OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 1, Iss. 1 — Jul. 1, 1977
  • pp: 13–15

Quasi fast Hankel transform

A. E. Siegman  »View Author Affiliations

Optics Letters, Vol. 1, Issue 1, pp. 13-15 (1977)

View Full Text Article

Enhanced HTML    Acrobat PDF (388 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We outline here a new algorithm for evaluating Hankel (Fourier–Bessel) transforms numerically with enhanced speed, accuracy, and efficiency. A nonlinear change of variables is used to convert the one-sided Hankel transform integral into a two-sided cross-correlation integral. This correlation integral is then evaluated on a discrete sampled basis using fast Fourier transforms. The new algorithm offers advantages in speed and substantial advantages in storage requirements over conventional methods for evaluating Hankel transforms with large numbers of points.

© 1977 Optical Society of America

Original Manuscript: March 25, 1977
Published: July 1, 1977

A. E. Siegman, "Quasi fast Hankel transform," Opt. Lett. 1, 13-15 (1977)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. G. Gardner, J. C. Gardner, G. Lausch, W. W. Meinke, “Method for the analysis of multi-component exponential decays,” J. Chem. Phys. 31, 987 (1959).
  2. J. Schlesinger, “Fit to experimental data with exponential functions using the fast fourier transform,” Nucl. Instrum. Methods 106, 503 (1973). [CrossRef]
  3. M. R. Smith, S. Cohn-Sfetcu, “Comments on fit to experimental data with exponential functions using the fast fourier transform,” Nucl. Instrum. Methods 114, 171 (1974). [CrossRef]
  4. S. Cohn-Sfetcu, M. R. Smith, S. T. Nichols, P. L. Henry, “A digital technique for analysing a class of multicomponent signals,” Proc. IEEE 63, 1460 (1975). [CrossRef]
  5. S. Cohn-Sfetcu, M. R. Smith, S. T. Nichols, “On the representation of signals by basis kernels with product argument,” Proc. IEEE 63, 326 (1975). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited