OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 23, Iss. 6 — Mar. 15, 1998
  • pp: 409–411

Quasi-discrete Hankel transform

Li Yu, Meichun Huang, Mouzhi Chen, Wenzhong Chen, Wenda Huang, and Zhizhong Zhu  »View Author Affiliations


Optics Letters, Vol. 23, Issue 6, pp. 409-411 (1998)
http://dx.doi.org/10.1364/OL.23.000409


View Full Text Article

Acrobat PDF (301 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A quasi-discrete Hankel transform (QDHT) is presented as a new and efficient framework for numerical evaluation of the zero-order Hankel transform. A discrete form of Parseval's theorem is obtained for the first time to the authors' knowledge, and the transform matrix is discussed. It is shown that the S factor, defined as the products of a truncated radius, is critical to building the QDHT.

© 1998 Optical Society of america

OCIS Codes
(000.5360) General : Physics literature and publications
(070.2590) Fourier optics and signal processing : ABCD transforms

Citation
Li Yu, Meichun Huang, Mouzhi Chen, Wenzhong Chen, Wenda Huang, and Zhizhong Zhu, "Quasi-discrete Hankel transform," Opt. Lett. 23, 409-411 (1998)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-6-409


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. E. Siegman, Opt. Lett. 1, 13 (1977).
  2. V. Magni and G. Gerullo, J. Opt. Soc. Am. A 9, 2031 (1992).
  3. P. K. Murphy and N. C. Gallagher, J. Opt. Soc. Am. 73, 1130 (1983).
  4. G. Agnesi and G. C. Reali, J. Opt. Soc. Am. A 10, 1872 (1993).
  5. E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).
  6. B. D. Gupta, Mathematical Physics (Vikas, Skylard, India, 1980).
  7. f1(r1) =2R12 n=1∞f1nJ0 (jnr1R1) J1-2(jn), f 1n=0R1 f1(r1)J0 (jnr1R1) r1dr1= 12pf2 (jn2pR1)
  8. I. N. Sneddon, Fourier Transform (University of Glasgow, Glasgow, Scotland, 1951).
  9. 0∞ ―f2(r2)― 2r2dr2= 0R2f2(r2)g2*(r2) r2dr2 = (1pR22)2n=1 ∞m=1∞ ―f1(jn2p R2)―2 × J1-2(jn)×J 1-2 (jm)×SS. SS= 0R2J0( jnr2R2) J0(jmr2 R2)r2dr 2 =1/2 R22J 1(jn)d mn.
  10. S. Wolfram, Mathematica: A System for Doing Mathematics by Computer (Addison-Wesley, Reading, Mass., 1991).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited