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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 17 — Aug. 13, 2012
  • pp: 18955–18966

Auto-focusing and self-healing of Pearcey beams

James D. Ring, Jari Lindberg, Areti Mourka, Michael Mazilu, Kishan Dholakia, and Mark R. Dennis  »View Author Affiliations

Optics Express, Vol. 20, Issue 17, pp. 18955-18966 (2012)

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We present a new solution of the paraxial equation based on the Pearcey function, which is related to the Airy function and describes diffraction about a cusp caustic. The Pearcey beam displays properties similar not only to Airy beams but also Gaussian and Bessel beams. These properties include an inherent auto-focusing effect, as well as form-invariance on propagation and self-healing. We describe the theory of propagating Pearcey beams and present experimental verification of their auto-focusing and self-healing behaviour.

© 2012 OSA

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.3300) Lasers and laser optics : Laser beam shaping
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

Original Manuscript: June 8, 2012
Revised Manuscript: July 23, 2012
Manuscript Accepted: July 23, 2012
Published: August 2, 2012

James D. Ring, Jari Lindberg, Areti Mourka, Michael Mazilu, Kishan Dholakia, and Mark R. Dennis, "Auto-focusing and self-healing of Pearcey beams," Opt. Express 20, 18955-18966 (2012)

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