Axisymmetric Plasmasphere Resonances: Toroidal Mode
Axisymmetric Plasmasphere Resonances: Toroidal Mode
复制标题
轴对称等离子体球共振：环形模式
DOI：
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发表时间：
1966
期刊：
影响因子：
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通讯作者：
R. Carovillano
中科院分区：
文献类型：
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作者：
H. Radoski;R. Carovillano
本文用磁流体磁方法研究了等离子体中的轴对称扰动。所用的模型等离子体具有固定的，完美的反射边界与偶极子同心，等离子体密度被假定为球对称的。将极向波方程化为径向变量的耦合微分方程组。的环形波方程精确地解决了使用密度法，它给出了一个很好的数量级适合最近的哨声数据。因为等离子体的范围是有限的，所以本征周期处处有限，包括极点。拉伸弦振动力线模型是使用Wentzel-Kramers-Brillouin近似推导出来的，它偶然地给出了所使用的密度定律的精确周期。两个不寻常的结果是在极地地区的预测短周期比在一些高中纬度地区和不连续的本征周期跨越力线，这只是一个假设。
The usual magnetohydromagnetic approach is used to investigate axisymmetric perturbations in a plasma permeated by a static dipole field. The model plasmasphere used has stationary, perfectly reflecting boundaries concentric with the dipole, and the plasma density is assumed to be spherically symmetric. The poloidal wave equation is reduced to a hierarchy of coupled differential equations in the radial variable. The toroidal wave equation is solved exactly using a density law which gives a good order of magnitude fit to recent whistler data. Because the extent of the plasma is finite, the eigenperiods are everywhere finite, including the poles. The stretched string model of vibrating lines of force is derived using the Wentzel‐Kramers‐Brillouin approximation, which fortuitously gives the exact periods for the density law utilized. Two unusual results are the prediction of shorter periods in the polar zones than at some high middle latitudes and discontinuous eigenperiods across the line of force which jus...