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

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

9 Scopus citations

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 (US)
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
State	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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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.",

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

note = "Funding Information: 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).",

year = "1994",

doi = "10.1016/0960-0779(94)90094-9",

language = "English (US)",

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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

N1 - Funding Information: 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).

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.

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EP - 1533

JO - Chaos, solitons and fractals

JF - Chaos, solitons and fractals

IS - 8-9

ER -

Correlation functions in the presence of optical vortices

Abstract

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