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Optics Letters

Optics Letters


  • 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)

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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

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

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)

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