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A statistical model for forward stimulated Brillouin scattering (FSBS) isdeveloped for a spatially incoherent, monochromatic, laser beam propagating ina plasma. A threshold for the average power in a speckle is found, well belowthe self-focusing one, above which the laser beam spatial incoherence can notprevent the coherent growth of FSBS. Three-dimensional simulations confirm itsexistence and reveal the onset of beam spray above it. From these results, wepropose a new figure of merit for the control of the propagation through aplasma of a spatially incoherent laser beam.

Coherent forward stimulated Brillouin scattering of a spatially incoherent laser beam in a plasma and its effect on beam spray