椭圆形分层出射日冕环的共振阻尼振荡
Resonantly damped oscillations of elliptically shaped stratified emerging coronal loops
摘要：
研究了日冕环的椭圆形状和出现阶段对驻波扭折振荡的共振吸收的影响。为此，一个典型的日冕环被建模为一个零β纵向分层的圆柱形磁通量管。我们开发的连接公式的共振吸收的常设横向振荡的日冕环的椭圆形，在其出现的各个阶段。使用连接公式，色散关系推导和数值求解，以获得基频和第一泛音扭结模式的频率和阻尼率。我们的数值计算结果表明，椭圆形和阶段出现的环路改变的频率和阻尼率的管，以及频率的基本模式和第一泛音模式的比例。然而，振荡频率的阻尼率的比率是不受管的形状和阶段的出现，也是独立的密度分层参数。
英文摘要：
The effects of both elliptical shape and stage of emergence of the coronal loop on the resonant absorption of standing kink oscillations are studied. To do so, a typical coronal loop is modeled as a zero-beta longitudinally stratified cylindrical magnetic flux tube. We developed the connection formulae for the resonant absorption of standing transversal oscillations of a coronal loop with an elliptical shape, at various stages of its emergence. Using the connection formulae, the dispersion relation is derived and solved numerically to obtain the frequencies and damping rates of the fundamental and first-overtone kink modes. Our numerical results show that both the elliptical shape and stage of emergence of the loop alter the frequencies and damping rates of the tube as well as the ratio of frequencies of the fundamental and its first-overtone modes. However, the ratio of the oscillation frequency to the damping rate is not affected by the tube shape and stage of its emergence and also is independent of the density stratification parameter.
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