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arXiv 2403.15005physics.plasm-phnlin.PS
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磁化等离子体中的耦合圆偏振电磁孤子态

Coupled circularly polarized electromagnetic soliton states in magnetized plasmas

G. P. Veldes, N. Lazarides, D. J. Frantzeskakis, I. Kourakis

AI总结:

本文基于流体-麦克斯韦模型,通过多尺度微扰技术推导出耦合非线性薛定谔型方程,揭示了磁化等离子体中存在三种圆偏振电磁矢量孤子对态,并发现磁场强度作为序参量决定孤子类型与频带宽度。

摘要:

基于流体-麦克斯韦模型,从第一性原理出发,考虑了磁化等离子体中两个共传播电磁脉冲之间的相互作用。考虑了两个具有相同群速度的圆偏振波包,它们具有相反的圆偏振特性,分别被识别为左旋圆偏振或右旋圆偏振(即分别为 LCP 或 RCP)。采用多尺度微扰技术,得到了与这两个脉冲相关的各自矢量势调制振幅的一对耦合非线性薛定谔型(NLS)方程。系统分析表明,在某些频带内存在三种不同类型的矢量孤子模式:LCP-亮/RCP-亮耦合孤子对态、LCP-亮/RCP-暗孤子对,以及 LCP-暗/RCP-亮孤子对。磁场值起着至关重要的作用,因为它决定了在某些频带内可能出现的矢量孤子类型,另一方面,它影响了以特定类型矢量孤子为特征的频带宽度。因此,磁场(强度)作为一个序参量出现,影响着每种类型解(以包络孤子对形式)的存在条件。本文在频带和广泛的磁场(强度)值范围内进行了详尽的参数研究,所得结果可应用于束流-等离子体相互作用场景以及空间等离子体和电离层中。

英文摘要:

The interaction between two co-propagating electromagnetic pulses in a magnetized plasma is considered, from first principles, relying on a fluid-Maxwell model. Two circularly polarized wavepackets by same group velocities are considered, characterized by opposite circular polarization, to be identified as left-hand- or right hand circularly polarized (i.e. LCP or RCP, respectively). A multiscale perturbative technique is adopted, leading to a pair of coupled nonlinear Schrodinger-type (NLS) equations for the modulated amplitudes of the respective vector potentials associated with the two pulses. Systematic analysis reveals the existence, in certain frequency bands, of three different types of vector soliton modes: an LCP-bright/RCP-bright coupled soliton pair state, an LCP bright/RCP-dark soliton pair, and an LCP-dark/RCP-bright soliton pair. The value of the magnetic field plays a critical role since it determines the type of vector solitons that may occur in certain frequency bands and, on the other hand, it affects the width of those frequency bands that are characterized by a specific type of vector soliton (type). The magnetic field (strength) thus arises as an order parameter, affecting the existence conditions of each type of solution (in the form of an envelope soliton pair). An exhaustive parametric investigation is presented in terms of frequency bands and in a wide range of magnetic field (strength) values, leading to results that may be applicable in beam-plasma interaction scenarios as well as in space plasmas and in the ionosphere.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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