Auto-focusing and self-healing of Pearcey beams

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...

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Bibliographic Details
Published in:Optics express 2012-08, Vol.20 (17), p.18955-18966
Main Authors: Ring, James D, Lindberg, Jari, Mourka, Areti, Mazilu, Michael, Dholakia, Kishan, Dennis, Mark R
Format: Article
Language:English
Subjects:
Computer Simulation
Light
Models, Theoretical
Refractometry - methods
Scattering, Radiation
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Summary: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.
ISSN:1094-4087
1094-4087
DOI:10.1364/oe.20.018955