White-light parametric instabilities in plasmas

Abstract

Parametric instabilities driven by partially coherent radiation in plasmas are described by a generalized statistical Wigner-Moyal set of equations, formally equivalent to the full wave equation, coupled to the plasma fluid equations. A generalized dispersion relation for Stimulated Raman Scattering driven by a partially coherent pump field is derived, revealing a growth rate dependence, with the coherence width $\sigma$ of the radiation field, scaling with $1/\sigma$ for backscattering (three-wave process), and with $1/{\sigma }^{1/2}$ for direct forward scattering (four-wave process). Our results demonstrate the possibility to control the growth rates of these instabilities by properly using broadband pump radiation fields.

6 pages, 3 figures, accepted for publication in Phys. Rev. Lett

References in corpus (5)

• Statistical Theory for Incoherent Light Propagation in Nonlinear Media
• New features of modulational instability of partially coherent light; importance of the incoherence spectrum
• Instability and dynamics of two nonlinearly coupled laser beams in a plasma
• Wigner-Moyal description of free variable mass Klein-Gordon fields
• Transverse modulational instability of partially incoherent soliton stripes

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