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Order statistics and extreme properties of spatially smoothed laser beams in laser-plasma interaction

Published online by Cambridge University Press:  07 September 2010

S. Hüller  and
A. Porzio
S. Hüller*
Affiliation:
Centre de Physique Théorique, CNRS, Ecole Polytechnique, Palaiseau Cedex, France
A. Porzio
Affiliation:
Centre de Physique Théorique, CNRS, Ecole Polytechnique, Palaiseau Cedex, France LAGA, Institut Galilée, Université Paris13, CNRS, Villetaneuse, France
*
Address correspondence and reprint requests to: S. Hüller, Centre de Physique Théorique, CNRS, Ecole Polytechnique, 91128 Palaiseau Cedex, France. E-mail: stefan.hueller@cpht.polytechnique.fr
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Abstract

The order statistics of intense speckles or “laser hot spots” are studied in the context of the so-called “optically smoothed” light beams of laser-matter interaction. We investigate theoretically and by means of numerical simulations the distribution function for the k-th most intense speckle maxima in the upper tail speckle distribution. From these distributions for each order k, a distribution function for the intense speckles as a function of their peak intensity can be established, which allows to compute their impact on nonlinear processes, like parametric instabilities. This is done for the example of stimulated Brillouin scattering, using the so-called independent hot spot model, for which the backscatter reactivity level is computed, which proves to be in very good agreements with numerical simulations. This result is of great interest for nonlinear processes, like instabilities, where extreme speckles play an important role.

Keywords

Extreme theoryLaser-plasma interactionOrder statisticsSpecklesStatistical optics
Type
Research Article
Information
Laser and Particle Beams , Volume 28 , Issue 3 , September 2010 , pp. 463 - 477
Copyright
Copyright © Cambridge University Press 2010

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