Correlation functions in the presence of optical vortices

Graeme K. Harkness; Joceline C. Lega; Gian-Luca Oppo

doi:10.1016/0960-0779(94)90094-9

Correlation functions in the presence of optical vortices

Graeme K. Harkness^*, Joceline C. Lega, Gian-Luca Oppo

^*Corresponding author for this work

Physics

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

9 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 language	English
Pages (from-to)	1519-1533
Number of pages	15
Journal	Chaos, Solitons and Fractals
Volume	4
Issue number	8-9
DOIs	https://doi.org/10.1016/0960-0779(94)90094-9
Publication status	Published - 30 Sept 1994

Funding

Acknowledgements-We acknowledge useful discussions with W. J. Firth and financial support from the EEC ESPRIT [grant BR 7118 (TONICS)] and SERC (grants G/12665 and H/62060).

Keywords

Ginzburg-Landau equation
optical vortices
spatio-temporal evolutions

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10.1016/0960-0779(94)90094-9

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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.",

keywords = "Ginzburg-Landau equation, optical vortices, spatio-temporal evolutions",

author = "Harkness, \{Graeme K.\} and Lega, \{Joceline C.\} and Gian-Luca Oppo",

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T1 - Correlation functions in the presence of optical vortices

AU - Harkness, Graeme K.

AU - Lega, Joceline C.

AU - Oppo, Gian-Luca

PY - 1994/9/30

Y1 - 1994/9/30

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.

KW - Ginzburg-Landau equation

KW - optical vortices

KW - spatio-temporal evolutions

UR - https://www.scopus.com/pages/publications/0028486656

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

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

M3 - Article

AN - SCOPUS:0028486656

SN - 0960-0779

VL - 4

SP - 1519

EP - 1533

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 8-9

ER -

Correlation functions in the presence of optical vortices

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