磁性圆柱对声波的散射
Scattering of acoustic waves by a magnetic cylinder
摘要：
为了研究时距日震学中的磁效应，采用一阶玻恩近似计算了均匀介质中磁性圆柱对平面声波的散射。我们表明，通过与精确解的比较，在玻恩近似计算的旅行时的位移是处处有效的一阶的磁气体压力的比率。我们还表明，对于任意的磁场强度，玻恩近似是无效的极限磁柱的半径趋于零。
英文摘要：
With the aim of studying magnetic effects in time-distance helioseismology, we use the first-order Born approximation to compute the scattering of acoustic plane waves by a magnetic cylinder embedded in a uniform medium. We show, by comparison with the exact solution, that the travel-time shifts computed in the Born approximation are everywhere valid to first order in the ratio of the magnetic to the gas pressures. We also show that, for arbitrary magnetic field strength, the Born approximation is not valid in the limit where the radius of the magnetic cylinder tends to zero.
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