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

103 Citations (Scopus)


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
Issue number17
Publication statusPublished - 2012 Aug 13

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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    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.