Auto-focusing and self-healing of Pearcey beams

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

doi:10.1364/OE.20.018955

Auto-focusing and self-healing of Pearcey beams

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

Department of Physics

Research output: Contribution to journal › Article › peer-review

208 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 language	English
Pages (from-to)	18955-18966
Number of pages	12
Journal	Optics Express
Volume	20
Issue number	17
DOIs	https://doi.org/10.1364/OE.20.018955
Publication status	Published - 2012 Aug 13

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

Access to Document

10.1364/OE.20.018955

Cite this

@article{29a13cd2c3ee4e65b2ef3b47f408a9a7,

title = "Auto-focusing and self-healing of Pearcey beams",

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.",

author = "Ring, {James D.} and Jari Lindberg and Areti Mourka and Michael Mazilu and Kishan Dholakia and Dennis, {Mark R.}",

year = "2012",

month = aug,

day = "13",

doi = "10.1364/OE.20.018955",

language = "English",

volume = "20",

pages = "18955--18966",

journal = "Optics Express",

issn = "1094-4087",

publisher = "The Optical Society",

number = "17",

}

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 -

Auto-focusing and self-healing of Pearcey beams

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this