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 language | English |
|---|---|
| Pages (from-to) | 18955-18966 |
| Number of pages | 12 |
| Journal | Optics Express |
| Volume | 20 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 2012 Aug 13 |
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All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
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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 journal › Article
TY - JOUR
T1 - Auto-focusing and self-healing of Pearcey beams
AU - Ring, James D.
AU - Lindberg, Jari
AU - Mourka, Areti
AU - Mazilu, Michael
AU - Dholakia, Kishan
AU - Dennis, Mark R.
PY - 2012/8/13
Y1 - 2012/8/13
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84865589487&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84865589487&partnerID=8YFLogxK
U2 - 10.1364/OE.20.018955
DO - 10.1364/OE.20.018955
M3 - Article
C2 - 23038535
AN - SCOPUS:84865589487
VL - 20
SP - 18955
EP - 18966
JO - Optics Express
JF - Optics Express
SN - 1094-4087
IS - 17
ER -