Correlation functions in the presence of optical vortices

Graeme K. Harkness, Joceline C Lega, Gian Luca Oppo

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We evaluate two-dimensional field and intensity correlation functions for the optical Ginzburg-Landau and laser equations in the presence of optical vortices. Configurations of rotating vortices, vortices superimposed on travelling waves and defect mediated turbulance are analysed and compared. Intensity correlations provide a qualitative indicator for the degree of disorder of spatio-temporal evolutions. For example, patterns with few rotating vortices have correlation lengths comparable to or larger than the transverse size of the system, while few vortices superimposed on travelling waves can generate weak turbulance.

Original languageEnglish (US)
Pages (from-to)1519-1533
Number of pages15
JournalChaos, Solitons and Fractals
Volume4
Issue number8-9
DOIs
StatePublished - 1994
Externally publishedYes

Fingerprint

Optical Vortex
Correlation Function
Vortex
Vortex flow
vortices
Traveling Wave
Rotating
traveling waves
Intensity Function
Ginzburg-Landau
Correlation Length
Disorder
Transverse
Defects
Laser
Configuration
Evaluate
disorders
Lasers
defects

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Engineering(all)

Cite this

Correlation functions in the presence of optical vortices. / Harkness, Graeme K.; Lega, Joceline C; Oppo, Gian Luca.

In: Chaos, Solitons and Fractals, Vol. 4, No. 8-9, 1994, p. 1519-1533.

Research output: Contribution to journalArticle

Harkness, Graeme K. ; Lega, Joceline C ; Oppo, Gian Luca. / Correlation functions in the presence of optical vortices. In: Chaos, Solitons and Fractals. 1994 ; Vol. 4, No. 8-9. pp. 1519-1533.
@article{ac70a47cb138435aa7103c7e00c98660,
title = "Correlation functions in the presence of optical vortices",
abstract = "We evaluate two-dimensional field and intensity correlation functions for the optical Ginzburg-Landau and laser equations in the presence of optical vortices. Configurations of rotating vortices, vortices superimposed on travelling waves and defect mediated turbulance are analysed and compared. Intensity correlations provide a qualitative indicator for the degree of disorder of spatio-temporal evolutions. For example, patterns with few rotating vortices have correlation lengths comparable to or larger than the transverse size of the system, while few vortices superimposed on travelling waves can generate weak turbulance.",
author = "Harkness, {Graeme K.} and Lega, {Joceline C} and Oppo, {Gian Luca}",
year = "1994",
doi = "10.1016/0960-0779(94)90094-9",
language = "English (US)",
volume = "4",
pages = "1519--1533",
journal = "Chaos, Solitons and Fractals",
issn = "0960-0779",
publisher = "Elsevier Limited",
number = "8-9",

}

TY - JOUR

T1 - Correlation functions in the presence of optical vortices

AU - Harkness, Graeme K.

AU - Lega, Joceline C

AU - Oppo, Gian Luca

PY - 1994

Y1 - 1994

N2 - We evaluate two-dimensional field and intensity correlation functions for the optical Ginzburg-Landau and laser equations in the presence of optical vortices. Configurations of rotating vortices, vortices superimposed on travelling waves and defect mediated turbulance are analysed and compared. Intensity correlations provide a qualitative indicator for the degree of disorder of spatio-temporal evolutions. For example, patterns with few rotating vortices have correlation lengths comparable to or larger than the transverse size of the system, while few vortices superimposed on travelling waves can generate weak turbulance.

AB - We evaluate two-dimensional field and intensity correlation functions for the optical Ginzburg-Landau and laser equations in the presence of optical vortices. Configurations of rotating vortices, vortices superimposed on travelling waves and defect mediated turbulance are analysed and compared. Intensity correlations provide a qualitative indicator for the degree of disorder of spatio-temporal evolutions. For example, patterns with few rotating vortices have correlation lengths comparable to or larger than the transverse size of the system, while few vortices superimposed on travelling waves can generate weak turbulance.

UR - http://www.scopus.com/inward/record.url?scp=0028486656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028486656&partnerID=8YFLogxK

U2 - 10.1016/0960-0779(94)90094-9

DO - 10.1016/0960-0779(94)90094-9

M3 - Article

AN - SCOPUS:0028486656

VL - 4

SP - 1519

EP - 1533

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

IS - 8-9

ER -