The electrostatic two‐stream instability driven by slab‐shaped and cylindrical beams injected into plasmas
The electrostatic two‐stream instability driven by slab‐shaped and cylindrical beams injected into plasmas
复制标题
注入等离子体的板状和圆柱形光束驱动的静电双流不稳定性
DOI：
10.1063/1.866767
复制
发表时间：
1988
影响因子：
4.6
通讯作者：
J. Borovsky
中科院分区：
文献类型：
--
作者：
M. Galvez;J. Borovsky
本文对有限宽电子或离子束在均匀背景等离子体中沿强磁场沿着流动进行了静电线性分析。线性流体方程已被解决作为一个边界值问题的平面和圆柱形的电子束的形状，和色散的结果作为一个本征值问题的数值求解，而不近似作为电子束宽度的函数。该解给出了任意束宽下的不稳定模，色散关系出现了不同的分支。在两种配置中存在表示最不稳定模式的分支，并且圆柱形光束的该不稳定模式的波长大于板状光束的最不稳定模式的对应波长。
An electrostatic linear analysis is performed for a finite‐width electron or ion beam streaming along a strong magnetic field in the presence of a homogeneous background plasma. The linear fluid equations have been solved as a boundary value problem for planar and cylindrical beam shapes, and the dispersion which results as an eigenvalue problem is solved numerically without approximation as a function of the electron beam width. The solution gives unstable modes for any beam width and the dispersion relation shows different branches. There is a branch in both configurations that represents the most unstable mode, and the wavelength of this unstable mode for the cylindrical beam is larger than the corresponding wavelength for the most unstable mode of the slab‐shaped beam.