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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 34, Iss. 24 — Dec. 15, 2009
  • pp: 3887–3889

Hopf–Ranãda linked and knotted light beam solution viewed as a null electromagnetic field

Ioannis M. Besieris and Amr M. Shaarawi  »View Author Affiliations


Optics Letters, Vol. 34, Issue 24, pp. 3887-3889 (2009)
http://dx.doi.org/10.1364/OL.34.003887


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Abstract

The Hopf–Ranãda linked and knotted light beam solution, which has been interpreted physically and extended analytically by Irvine and Bouwmeester recently, is viewed in this Letter as a null electromagnetic field. It is shown, in particular, that the Hopf–Ranãda solution is a variant of a luminal null electromagnetic wave due originally to Robinson and Troutman and reported by Bialynicki-Birula recently. This analogy is motivated by means of a method due to Whittaker and Bateman, and a relationship to well-known scalar luminal localized waves is examined.

© 2009 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation
(350.7420) Other areas of optics : Waves

ToC Category:
Physical Optics

History
Original Manuscript: July 29, 2009
Revised Manuscript: October 20, 2009
Manuscript Accepted: October 21, 2009
Published: December 11, 2009

Citation
Ioannis M. Besieris and Amr M. Shaarawi, "Hopf-Ranãda linked and knotted light beam solution viewed as a null electromagnetic field," Opt. Lett. 34, 3887-3889 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-24-3887


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References

  1. W. T. M. Irvine and D. Bouwmeester, Nat. Phys. 4, 716 (2008). [CrossRef]
  2. A. F. Ranãda, J. Phys. A 23, L815 (1990). [CrossRef]
  3. A. F. Ranãda, J. Phys. A 25, 1621 (1992). [CrossRef]
  4. A. F. Ranãda and J. L. Trueba, Mod. Nonlin. Opt. 119, 197 (2001).
  5. H. Hopf, Math. Ann. 104, 637 (1931). [CrossRef]
  6. H. Bateman, Proc. London Math. Soc. 7, 70 (1909). [CrossRef]
  7. L. Silberstein, Ann. Phys. 22, 579 (1907). [CrossRef]
  8. I. M. Besieris and A. M. Shaarawi, PIER B 8, 1 (2008). [CrossRef]
  9. H. Bateman, The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations (Dover, 1955). [PubMed]
  10. I. M. Besieris, A. M. Shaarawi, and A. M. Attiya, PIER 48, 201 (2004). [CrossRef]
  11. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, J. Opt. Soc. Am. A 10, 75 (1993). [CrossRef]
  12. K. Reivelt and P. Saari, Phys. Rev. E 65, 046622 (2002). [CrossRef]
  13. I. Bialynicki-Birula, J. Opt. A 6, S181 (2004). [CrossRef]

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