Behavior of the laser beam wandering variance with the turbulent path length

Gustavo Funes; Damián Gulich; Luciano Zunino; Darío G. Pérez; Mario Garavaglia

doi:10.1016/j.optcom.2006.12.020

Behavior of the laser beam wandering variance with the turbulent path length

Gustavo Funes, Damián Gulich, Luciano Zunino^*, Darío G. Pérez, Mario Garavaglia

^*Corresponding author for this work

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

23 Scopus citations

Abstract

We experimentally study the variance of the transverse displacement, or wandering, of a laser beam after it has traveled through indoor artificially convective turbulence. In a previous paper (Opt. Commun., vol. 242, p. 57, November 2004) we have modeled the atmospheric turbulent refractive index as a fractional Brownian motion. As a consequence, a different behavior is predicted for the wandering variance: it grows with L, the path length, as L^2+2H, where H is the Hurst exponent associated to the fractional Brownian motion. The traditional cubic dependence is only recovered when H = 1/2-the ordinary Brownian motion. This is the case of strong turbulence or long path length. Otherwise, for weak turbulence and short path length deviations from the usual expression should be found. In this work we experimentally confirm the previous assertion.

Original language	English
Pages (from-to)	476-479
Number of pages	4
Journal	Optics Communications
Volume	272
Issue number	2
DOIs	https://doi.org/10.1016/j.optcom.2006.12.020
State	Published - 15 Apr 2007
Externally published	Yes

Bibliographical note

Funding Information:
G. Funes and D. Gulich have been supported financially by a student fellowship from the INNOVATEC Foundation, Argentina. L. Zunino has been supported financially by a postdoctoral research fellowship from the Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET, Argentina). D.G. Pérez has been supported by Comisión Nacional de Investigación Científica y Tecnológica (CONICYT, FONDECYT Project No. 11060512, Chile), and partially by Pontificia Universidad Católica de Valparaíso (PUCV, Project No. 123.786/2006, Chile). He is also very thankful to Prof. Dr. M. Garavaglia for his kind hospitality at Centro de Investigaciones Ópticas (CIOp), Argentina, where part of this work was done.

Keywords

Fractional Brownian motion
Hurst exponent
Indoor convective turbulence
Laser beam wandering variance

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10.1016/j.optcom.2006.12.020

Cite this

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title = "Behavior of the laser beam wandering variance with the turbulent path length",

abstract = "We experimentally study the variance of the transverse displacement, or wandering, of a laser beam after it has traveled through indoor artificially convective turbulence. In a previous paper (Opt. Commun., vol. 242, p. 57, November 2004) we have modeled the atmospheric turbulent refractive index as a fractional Brownian motion. As a consequence, a different behavior is predicted for the wandering variance: it grows with L, the path length, as L2+2H, where H is the Hurst exponent associated to the fractional Brownian motion. The traditional cubic dependence is only recovered when H = 1/2-the ordinary Brownian motion. This is the case of strong turbulence or long path length. Otherwise, for weak turbulence and short path length deviations from the usual expression should be found. In this work we experimentally confirm the previous assertion.",

keywords = "Fractional Brownian motion, Hurst exponent, Indoor convective turbulence, Laser beam wandering variance",

author = "Gustavo Funes and Dami{\'a}n Gulich and Luciano Zunino and P{\'e}rez, {Dar{\'i}o G.} and Mario Garavaglia",

note = "Funding Information: G. Funes and D. Gulich have been supported financially by a student fellowship from the INNOVATEC Foundation, Argentina. L. Zunino has been supported financially by a postdoctoral research fellowship from the Consejo Nacional de Investigaciones Cient{\'i}ficas y T{\'e}cnicas (CONICET, Argentina). D.G. P{\'e}rez has been supported by Comisi{\'o}n Nacional de Investigaci{\'o}n Cient{\'i}fica y Tecnol{\'o}gica (CONICYT, FONDECYT Project No. 11060512, Chile), and partially by Pontificia Universidad Cat{\'o}lica de Valpara{\'i}so (PUCV, Project No. 123.786/2006, Chile). He is also very thankful to Prof. Dr. M. Garavaglia for his kind hospitality at Centro de Investigaciones {\'O}pticas (CIOp), Argentina, where part of this work was done. ",

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N2 - We experimentally study the variance of the transverse displacement, or wandering, of a laser beam after it has traveled through indoor artificially convective turbulence. In a previous paper (Opt. Commun., vol. 242, p. 57, November 2004) we have modeled the atmospheric turbulent refractive index as a fractional Brownian motion. As a consequence, a different behavior is predicted for the wandering variance: it grows with L, the path length, as L2+2H, where H is the Hurst exponent associated to the fractional Brownian motion. The traditional cubic dependence is only recovered when H = 1/2-the ordinary Brownian motion. This is the case of strong turbulence or long path length. Otherwise, for weak turbulence and short path length deviations from the usual expression should be found. In this work we experimentally confirm the previous assertion.

AB - We experimentally study the variance of the transverse displacement, or wandering, of a laser beam after it has traveled through indoor artificially convective turbulence. In a previous paper (Opt. Commun., vol. 242, p. 57, November 2004) we have modeled the atmospheric turbulent refractive index as a fractional Brownian motion. As a consequence, a different behavior is predicted for the wandering variance: it grows with L, the path length, as L2+2H, where H is the Hurst exponent associated to the fractional Brownian motion. The traditional cubic dependence is only recovered when H = 1/2-the ordinary Brownian motion. This is the case of strong turbulence or long path length. Otherwise, for weak turbulence and short path length deviations from the usual expression should be found. In this work we experimentally confirm the previous assertion.

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Behavior of the laser beam wandering variance with the turbulent path length

Abstract

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Keywords

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