纵向分层冕环的固定扭结模的精确解
Exact solutions for standing kink modes of the longitudinally stratified coronal loops
摘要：
研究了日冕环的纵向结构对快速扭结模的影响。解析色散关系和模式配置文件导出的二阶常微分方程的z分量的扰动磁场，$δB_z$。所有其他组件均以$δB_z$表示。从均匀的循环的频率和模式配置文件的偏差给出的密度尺度高度的函数。研究了固定和可变柱质量、负刻度高度和环内外密度对比的影响。频率比，模式配置文件，和从正弦配置文件的均匀环的波腹位移，是工具来估计太阳光球参数。为此，我们已经扩大了相关因素的分层参数的二阶。特别是，我们验证的第一泛音波腹位移是在毫米范围内，并达到目前的观测分辨率。
英文摘要：
The influence of longitudinal structuring on the fast kink modes of coronal loops is investigated. Analytical dispersion relations and mode profiles are derived for the second-order ordinary differential equation governing the z- component of the perturbation in the magnetic field, $δB_z$. All other components are given in terms of $δB_z$. Deviations from the frequencies and mode profiles of homogenous loops are given as functions of the density scale height. The effects of the fixed and variable column masses, negative scale heights, and density contrasts inside and outside of the loops are studied. The frequency ratios, mode profiles, and the antinode shifts from those of the sine profiles of the homogenous loops, are tools to estimate solar photospheric parameters. To this end, we have expanded the relevant factors up to the second order in the stratification parameter. In particular, we verify that the first overtone antinode shifts are in the Mm range and are within the reach of the resolutions of the present day observations.
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