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 that 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 powerlike tail that 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.
© 2010 Optical Society of America
Original Manuscript: February 5, 2010
Revised Manuscript: May 4, 2010
Manuscript Accepted: May 11, 2010
Published: June 3, 2010
Pavel M. Lushnikov and Natalia Vladimirova, "Non-Gaussian statistics of multiple filamentation," Opt. Lett. 35, 1965-1967 (2010)