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APS -59th Annual Meeting of the APS Division of Plasma Physics - Event - Simulating the experimental detectability of axisymmetric Bernstein modes in a finite-length non-neutral plasma

机译:APS-等离子体物理APS部门第59届年会-事件-在有限长度的非中性等离子体中模拟轴对称Bernstein模式的实验可检测性

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We use a 2-D PIC code to model high-frequency axisymmetric oscillations in a finite-length pure-ion plasma. These modes are not detectable in the surface charge on the walls of infinite-length plasmas because of axisymmetry and lack of z-dependence. This is not true in a finite-length plasma, because the perturbed density has to have nodes a short distance beyond the ends of the plasma. This gives the modes a $cos(k_z z)$ or $sin(k_z z)$ dependence, with a $k_z$ such that an integral number (approximately) of half-wavelengths fit into the plasma. This $z$-dependence makes the mode detectable in the surface charge on the walls. There are two effects that contribute to the size of the signal induced on the wall. For the bulk of the plasma the change in the total charge underneath a section of the wall is proportional to the density perturbation $delta$n, and is due to $abla cdot v$. The other contributor is the movement of the end of the plasma column due to the $v_z$ of the mode. This is proportional to $v_zpartial n_0/partial z$ and is therefore confined to the ends of the plasma. The relative size of these effects depends on the aspect ratio of the plasma. We will quantify what size of density perturbation is necessary to produce experimentally measurable signals.
机译:我们使用二维PIC代码来模拟有限长度纯离子等离子体中的高频轴对称振荡。由于轴对称和缺乏z相关性,在无限长等离子体壁上的表面电荷中无法检测到这些模式。在有限长度的等离子体中情况并非如此,因为被扰动的密度必须使节点的距离超出等离子体的端部很短。这使模式具有$ cos(k_z z)$或$ sin(k_z z)$依赖性,并且具有$ k_z $依赖性,使得整数个(大约)半波长适合等离子体。这种$ z $依赖性使模式可以在壁上的表面电荷中检测到。有两种影响壁上感应信号大小的因素。对于大部分等离子体,在壁的一部分下的总电荷的变化与密度扰动$ delta $ n成正比,这是由于abla cdot v $引起的。另一个原因是由于模式的$ v_z $,等离子体柱末端的运动。这与$ v_zpartial n_0 / partial z $成比例,因此被限制在等离子体的末端。这些效应的相对大小取决于等离子体的长宽比。我们将量化产生实验可测量信号所需的密度扰动大小。

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