Damping and Frequency Shift of Large Amplitude Electron Plasma Waves

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    The initial evolution of large-amplitude one-dimensional electron waves is investigated by applying a numerical simulation. The initial wave damping is found to be strongly enhanced relative to the linear damping and it increases with increasing amplitude. The temporal evolution of the nonlinear damping rate γ(t) shows that it increases with time within the initial phase of propagation, t≲π/ωB (ωB is the bounce frequency), whereafter it decreases and changes sign implying a regrowth of the wave. The shift in the wave frequency δω is observed to be positive for t≲π/ωB; then δω changes sign and oscillates around a negative asymptotic value. The results compare favourably with a recent theory by Sugihara et al. for the initial behaviour (t
    Original languageEnglish
    JournalPhysica Scripta
    Issue number4
    Pages (from-to)501-509
    Publication statusPublished - 1983

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