Journal
OPTICS EXPRESS
Volume 20, Issue 17, Pages 18955-18966Publisher
Optica Publishing Group
DOI: 10.1364/OE.20.018955
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Funding
- EPSRC
- Royal Society
- Engineering and Physical Sciences Research Council [EP/F040644/1] Funding Source: researchfish
- EPSRC [EP/F040644/1] Funding Source: UKRI
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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. (C) 2012 Optical Society of America
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