We examine resonantly damped kink modes in straight coronal slabs, paying special attention to the effects of the formulation for the transverse density distribution (“profile”). We work in the framework of pressure-less, gravity-free, resistive magnetohydrodynamics, and we adopt the dissipative-eigenmode perspective. The density profile is restricted to be one-dimensional, but nonetheless allowed to take a generic form characterized by a continuous transition layer connecting a uniform interior to a uniform exterior. A dispersion relation (DR) is derived in the thin-boundary limit, yielding analytical expressions for the eigenfrequencies that generalize known results in various aspects. We find that the analytical rather than the numerical solutions to the thin-boundary DR serve better the purpose for validating our self-consistent resistive solutions. More importantly, the eigenfrequencies are found to be sensitive to profile specifications, the ratio of the imaginary to the real part readily varying by a factor of two when one profile is used in place of another. Our eigenmode computations are also examined in the context of impulsively excited kink waves, suggesting the importance of resonant absorption for sufficiently oblique components when the spatial scale of the exciter is comparable to the slab half-width.

我们检查了直冠状板中的共振阻尼扭结模式，特别注意横向密度分布（“剖面”）公式的影响。我们在无压力、无重力、电阻磁流体动力学的框架下工作，并采用耗散本征模式的观点。密度分布被限制为一维，但仍然允许采用以连接均匀内部和均匀外部的连续过渡层为特征的通用形式。色散关系 (DR) 是在薄边界中推导出来的，产生特征频率的解析表达式，可概括各个方面的已知结果。我们发现薄边界 DR 的解析解而不是数值解更适合于验证我们的自洽电阻解。更重要的是，发现特征频率对轮廓规格很敏感，当使用一个轮廓代替另一个轮廓时，虚部与实部的比率很容易变化两倍。我们的本征模式计算也在脉冲激发的扭结波的背景下进行了检查，这表明当激励器的空间尺度与平板半宽相当时共振吸收对于足够倾斜的分量的重要性。当使用一种配置文件代替另一种配置文件时，虚部与实部的比率很容易变化两倍。我们的本征模式计算也在脉冲激发的扭结波的背景下进行了检查，这表明当激励器的空间尺度与平板半宽相当时共振吸收对于足够倾斜的分量的重要性。当使用一种配置文件代替另一种配置文件时，虚部与实部的比率很容易变化两倍。我们的本征模式计算也在脉冲激发的扭结波的背景下进行了检查，这表明当激励器的空间尺度与平板半宽相当时共振吸收对于足够倾斜的分量的重要性。