Title: Relativistic Magnetohydrodynamic Wave Excitation by Laser Pulse in a Magnetized Plasma Show Chinese title

Title: 相对论磁流体动力学波在磁化等离子体中由激光脉冲激发

Abstract: In the study of plasma, particularly in applications involving strong laser-plasma interactions, the propagation of a strong electromagnetic wave induces relativistic velocities in the electron flow. Given such conditions, the wave propagating through the plasma experiences modulational instability. In this paper, we investigate this instability using magnetohydrodynamic (MHD) equations. In the relativistic limit, the motion of ions can be neglected due to their significant inertia, allowing us to treat the ions as a background fluid. This simplification enables us to apply perturbation techniques to the electron fluid equations, leading to the derivation of the nonlinear wave equation in the form of the Nonlinear Schr\"odinger Equation (NLSE). We also explore the relationship between wave dispersion and the conditions for instability. We derive the maximum growth rate of the modulational instability and analyze its dependence on plasma parameters and wave intensity in the context of relativistic magnetized plasma, providing quantitative insights into the instability dynamics. Finally, we examine aspects of the perturbed NLSE using the Bogoliubov-Mitropolsky perturbation approach, treating real and imaginary coefficients separately, which explicitly incorporates both Nonlinear Landau Damping (NLLD) and growth-damping effects. Show Chinese abstract

Abstract: 在等离子体的研究中，特别是在涉及强激光-等离子体相互作用的应用中，强电磁波的传播会在电子流中引发相对论速度。 在这些条件下，通过等离子体传播的波会经历调制不稳定性。 在本文中，我们使用磁流体动力学（MHD）方程来研究这种不稳定性。 在相对论极限下，由于离子的显著惯性，可以忽略离子的运动，使我们能够将离子视为背景流体。 这种简化使我们能够对电子流体方程应用微扰技术，从而推导出非线性薛定谔方程（NLSE）形式的非线性波方程。 我们还探讨了波色散与不稳定性条件之间的关系。 我们推导了调制不稳定性的最大增长率，并在相对论磁化等离子体的背景下分析了其对等离子体参数和波强度的依赖性，提供了关于不稳定性动力学的定量见解。 最后，我们使用Bogoliubov-Mitropolsky微扰方法研究受扰NLSE的各个方面，分别处理实部和虚部系数，这明确地包含了非线性朗道阻尼（NLLD）和增长-阻尼效应。