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Diocotron instability of a warm electron beam in crossed fields

机译:交叉场中热电子束的电子不稳定性

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The warm-fluid equation derived from the drift kinetic equation is solved numerically to investigate the electrostatic low-frequency stability of an electron ribbon lieuin drifting in the crossed-fields of a planar magnetron. The temperature effect is manifested only for oblique propagation with respect to the drifting beam direction. The dispersion relation takes the form w=w(k⊥, K||)=w(k_||/k_⊥). where k_|| and k_⊥ are respectively the components of the surface wave vector k parallel and perpendicular to the magnetic field. The obliqueness of the propagation direction and the non-zero temperature give rise to a resonant instability, in addition to the diocotron instability, and thewavenumber corresponding to the maximum diocotron growth rate shifts as the temperature changes.
机译:数值求解了从漂移动力学方程式导出的暖流体方程式,以研究在平面磁控管的交叉场中漂移的电子带状亮氨酸的静电低频稳定性。仅对于相对于漂移光束方向的倾斜传播才表现出温度效应。色散关系的形式为w = w(k⊥,K ||)= w(k_ || /k_⊥)。其中k_ ||和k_⊥分别是平行于和垂直于磁场的表面波矢量k的分量。传播方向的倾斜和非零温度不仅引起电子辐控管的不稳定性,而且引起共振不稳定性,并且对应于最大电子辐控管的增长率的波数随温度的变化而变化。

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