Non-Gaussian Statistics of Multiple Filamentation

Abstract

We consider the statistics of light amplitude fluctuations for the propagation of a laser beam subjected to multiple filamentation in an amplified Kerr media, with both linear and nonlinear dissipation. Dissipation arrests the catastrophic collapse of filaments, causing their disintegration into almost linear waves. These waves form a nearly-Gaussian random field which seeds new filaments. For small amplitudes the probability density function (PDF) of light amplitude is close to Gaussian, while for large amplitudes the PDF has a long power-like tail which corresponds to strong non-Gaussian fluctuations, i.e. intermittency of strong optical turbulence. This tail is determined by the universal form of near singular filaments and the PDF for the maximum amplitudes of the filaments.

References in corpus (4)

• Ultrashort filaments of light in weakly-ionized, optically-transparent media
• Non-Gaussian statistics and extreme waves in a nonlinear optical cavity
• How much laser power can propagate through fusion plasma?
• Instability Versus Equilibrium Propagation of Laser Beam in Plasma

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