Nonlinear Trivelpiece-Gould waves: Frequency, functional form, and stability
Nonlinear Trivelpiece-Gould waves: Frequency, functional form, and stability
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非线性 Trivelpiece-Gould 波：频率、函数形式和稳定性
DOI：
10.1063/1.4932001
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发表时间：
2015
影响因子：
2.2
通讯作者：
A. Ashourvan
中科院分区：
文献类型：
--
作者：
D. Dubin;A. Ashourvan
本文考虑了长度为 L、半径为 rp 的圆柱形等离子体柱上非线性 Trivelpiece-Gould (TG) 波的频率、空间形式和稳定性，同时处理行波和驻波，并重点关注 L/rp≫1 的实验感兴趣的区域。在这种情况下，TG 波具有弱色散性，允许傅立叶谐波之间存在强模式耦合。模式耦合意味着即使在相当小的振幅下，此类波的线性理论也是一个很差的近似，并且包含少量谐波的非线性理论（例如三波参数共振理论）也无法完全捕获系统的稳定性特性。研究发现，非线性驻波的函数形式随着其幅度的连续变化而发生跳跃。跳跃是由驻波和近线性波之间的非线性谐振引起的，其频率和波数是驻波的谐波。此外，发现驻波不稳定......
This paper considers the frequency, spatial form, and stability of nonlinear Trivelpiece-Gould (TG) waves on a cylindrical plasma column of length L and radius rp, treating both traveling waves and standing waves, and focussing on the regime of experimental interest in which L/rp≫1. In this regime, TG waves are weakly dispersive, allowing strong mode-coupling between Fourier harmonics. The mode coupling implies that linear theory for such waves is a poor approximation even at fairly small amplitude, and nonlinear theories that include a small number of harmonics, such as three-wave parametric resonance theory, also fail to fully capture the stability properties of the system. It is found that nonlinear standing waves suffer jumps in their functional form as their amplitude is varied continuously. The jumps are caused by nonlinear resonances between the standing wave and nearly linear waves whose frequencies and wave numbers are harmonics of the standing wave. Also, the standing waves are found to be unsta...