Nonlinear frequency shift of electron acoustic waves in relativistic hot plasma
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摘要: 研究了相对论电磁波在热等离子体中传播时的色散特性以及由于非线性电子声波激发引起的电子声波的非线性频移。基于相对论激光在热等离子体中传播的电磁流体物理模型，采用流体的非线性频移理论，利用微扰法得到了描述相对论激光与热等离子体相互作用时谐波产生的非线性频移方程。结果表明，等离子体密度、电子温度和一阶谐波振幅是决定相对论热等离子体中非线性频移的主要因素。在弱激发下，非线性频移随着电子温度和一阶谐波振幅的增大而增大，等离子体密度抑制非线性频移。电子声波非线性频移对等离子体密度和电子温度的依赖表现出了强烈的非线性特征。研究结果为深入理解高能量激光与热等离子体相互作用中谐波的产生及引起的非线性频移提供了理论依据。Abstract: Based on the electromagnetic fluid model, the effects of electron temperature and plasma density on the nonlinear frequency shift of electron acoustic wave in a relativistic hot plasma are investigated. The nonlinear frequency shift equation of electron acoustic wave is obtained by using the nonlinear frequency shift theory and perturbation method. The results show that the plasma density, the first harmonic amplitude and the electron temperature are the main factors that determine the nonlinear frequency shift of electron acoustic wave in relativistic hot plasma. For weak excitation, the nonlinear frequency shift increases with the increase of electron temperature and the first harmonic amplitude, and the plasma density inhibits the nonlinear frequency shift. The impact of electron temperature and the plasma density on nonlinear frequency shift shows a strong nonlinear character. The results provide a theoretical evidence for understanding the high power laser-plasma interaction and the generation of harmonics.
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Key words:
- electromagnetic pulse /
- hot plasma /
- electron acoustic wave /
- nonlinear frequency shift
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图 1 k = 0.25的情况下，等离子体密度η和电子温度f对非线性频移系数L和二次谐波系数A2φ的影响
Figure 1. Effects of plasma density η and electron temperature f on nonlinear frequency shift coeffcient L and second harmonic coeffcient A2φ for k = 0.25
图 2 等离子体密度η、电子温度f、一阶谐波振幅φ1和波数k对非线性频移的影响
Figure 2. Effect of plasma density η, electron temperature f, the first harmonic amplitude φ1 and wave number k on nonlinear frequency shift
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