The formation and control of strongly nonlinear standing plasma waves (SPWs) from a trivial equilibrium by a chirped frequency drive are discussed. If the drive amplitude exceeds a threshold, after passage through the linear resonance in this system, the excited wave preserves the phase locking with the drive, yielding a controlled growth of the wave amplitude. We illustrate these autoresonant waves via Vlasov–Poisson simulations, showing the formation of sharply peaked excitations with local electron density maxima significantly exceeding the unperturbed plasma density. The Whitham averaged variational approach applied to a simplified water bag model yields the weakly nonlinear evolution of the autoresonant SPWs and the autoresonance threshold. If the chirped driving frequency approaches some constant level, the driven SPW saturates at a target amplitude, avoiding the kinetic wave breaking.

中文翻译：

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常设自谐振等离子体波

讨论了通过啁啾频率驱动从平凡平衡形成和控制强非线性驻等离子波（SPW）。如果驱动幅度超过阈值，则在通过该系统中的线性谐振之后，激发波保持与驱动的锁相，从而产生受控的波幅度增长。我们通过 Vlasov-Poisson 模拟说明了这些自谐振波，显示了局部电子密度最大值显着超过未受扰动等离子体密度的尖峰激发的形成。应用于简化水袋模型的 Whitham 平均变分方法产生了自谐振 SPW 和自谐振阈值的弱非线性演化。如果啁啾驱动频率接近某个恒定水平，