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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 16 — Aug. 15, 2007
  • pp: 2447–2449

A note on an accelerating finite energy Airy beam

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


Optics Letters, Vol. 32, Issue 16, pp. 2447-2449 (2007)
http://dx.doi.org/10.1364/OL.32.002447


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Abstract

A recently derived Airy beam solution to the ( 1 + 1 ) D paraxial equation is shown to obey two salient properties characterizing arbitrary finite energy solutions associated with second-order diffraction; the centroid of the beam is a linear function of the range and its variance varies quadratically in range. Some insight is provided regarding the local acceleration dynamics of the beam. It is shown, specifically, that the interpretation of this beam as accelerating, i.e., one characterized by a nonlinear lateral shift, depends significantly on the parameter a entering into the solution.

© 2007 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(260.2030) Physical optics : Dispersion
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: May 15, 2007
Manuscript Accepted: June 6, 2007
Published: August 9, 2007

Citation
Ioannis M. Besieris and Amr M. Shaarawi, "A note on an accelerating finite energy Airy beam," Opt. Lett. 32, 2447-2449 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-16-2447

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