Auto-focusing and self-healing of Pearcey beams

James D. Ring, Jari Lindberg, Areti Mourka, Michael Mazilu, Kishan Dholakia, Mark R. Dennis

Research output: Contribution to journalArticle

86 Citations (Scopus)

Abstract

We present a new solution of the paraxial equation based on the Pearcey functionwhich 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 effectas 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.

Original languageEnglish
Pages (from-to)18955-18966
Number of pages12
JournalOptics Express
Volume20
Issue number17
DOIs
Publication statusPublished - 2012 Aug 13

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healing
Airy function
cusps
invariance
alkalies
propagation
diffraction

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Ring, J. D., Lindberg, J., Mourka, A., Mazilu, M., Dholakia, K., & Dennis, M. R. (2012). Auto-focusing and self-healing of Pearcey beams. Optics Express, 20(17), 18955-18966. https://doi.org/10.1364/OE.20.018955
Ring, James D. ; Lindberg, Jari ; Mourka, Areti ; Mazilu, Michael ; Dholakia, Kishan ; Dennis, Mark R. / Auto-focusing and self-healing of Pearcey beams. In: Optics Express. 2012 ; Vol. 20, No. 17. pp. 18955-18966.
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Ring, JD, Lindberg, J, Mourka, A, Mazilu, M, Dholakia, K & Dennis, MR 2012, 'Auto-focusing and self-healing of Pearcey beams', Optics Express, vol. 20, no. 17, pp. 18955-18966. https://doi.org/10.1364/OE.20.018955

Auto-focusing and self-healing of Pearcey beams. / Ring, James D.; Lindberg, Jari; Mourka, Areti; Mazilu, Michael; Dholakia, Kishan; Dennis, Mark R.

In: Optics Express, Vol. 20, No. 17, 13.08.2012, p. 18955-18966.

Research output: Contribution to journalArticle

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Ring JD, Lindberg J, Mourka A, Mazilu M, Dholakia K, Dennis MR. Auto-focusing and self-healing of Pearcey beams. Optics Express. 2012 Aug 13;20(17):18955-18966. https://doi.org/10.1364/OE.20.018955