OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 21, Iss. 4 — Feb. 15, 1996
  • pp: 281–283

Fractional Hilbert transform

Adolf W. Lohmann, David Mendlovic, and Zeev Zalevsky  »View Author Affiliations


Optics Letters, Vol. 21, Issue 4, pp. 281-283 (1996)
http://dx.doi.org/10.1364/OL.21.000281


View Full Text Article

Acrobat PDF (235 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We have generalized the Hilbert transform by defining the fractional Hilbert transform (FHT) operation. In the first stage, two different approaches for defining the FHT are suggested. One is based on modifying only the spatial filter, and the other proposes using the fractional Fourier plane for filtering. In the second stage, the two definitions are combined into a fractional Hilbert transform, which is characterized by two parameters. Computer simulations are presented.

© 1996 Optical Society of America

History
Original Manuscript: November 28, 1995
Published: February 15, 1996

Citation
Adolf W. Lohmann, David Mendlovic, and Zeev Zalevsky, "Fractional Hilbert transform," Opt. Lett. 21, 281-283 (1996)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-21-4-281


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. KastlerRev. Opt. 29, 308 (1950).
  2. H. WolterAnn. Phys. 7, 341 (1950). [CrossRef]
  3. D. Hauk, A. LohmannOptik 15, 275 (1958).
  4. S. Lowenthal, Y. BelvauxAppl. Phys. Lett. 11, 49 (1967). [CrossRef]
  5. J. K. T. Eu, A. W. LohmannOpt. Commun. 9, 257 (1973). [CrossRef]
  6. B. R. Brown, A. W. LohmannAppl. Opt. 5, 967 (1966). [CrossRef] [PubMed]
  7. A. W. Lohmann, D. P. ParisAppl. Opt. 6, 1739 (1967). [CrossRef] [PubMed]
  8. D. Mendlovic, H. M. OzaktasJ. Opt. Soc. Am. A 10, 1875 (1993). [CrossRef]
  9. D. Mendlovic, H. M. Ozaktas, A. W. LohmannAppl. Opt. 34, 303 (1995). [CrossRef] [PubMed]
  10. M. Gedzioriwski, J. GarciaOpt. Commun. 119, 207 (1995). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited