Langmuir wave self-focusing versus decay instability

Electron trapping in a finite amplitude Langmuir wave (LW) leads to a frequency shift, ΔωTP 0.46, while for 0.33<kλD<0.46 TPMI requires that the fluctuation wave vector has a component perpendicular to k, the LW wave vector, with λD being the electron Debye length. Its nonlinear evolution leads to self-focusing. Comparison is made with a reevaluated LW ion acoustic decay instability (LDI): compared to classical estimates, the new linear LDI threshold is lowered by primary LW ΔωTP since frequency matching leads to wave number and hence damping reduction of the daughter LW. For parameter estimates relevant to a recent stimulated Raman scatter experiment [Klin...

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