Auto-focusing and self-healing of Pearcey beams

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

Auto-focusing and self-healing of Pearcey beams

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

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

332 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	18955-18966
Number of pages	12
Journal	Optics Express
Volume	20
Issue number	17
Publication status	Published - 13 Aug 2012

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

abstract = "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",

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",

language = "English",

volume = "20",

pages = "18955--18966",

journal = "Optics Express",

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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 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

AB - 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

M3 - Article (Academic Journal)

SN - 1094-4087

VL - 20

SP - 18955

EP - 18966

JO - Optics Express

JF - Optics Express

IS - 17

ER -

Auto-focusing and self-healing of Pearcey beams

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