标题： 多通道三维SOLA反演用于局部日震学 显示英文标题

标题： Multi-Channel Three-Dimensional SOLA Inversion for Local Helioseismology

摘要： 局部日震学的反演是获得太阳内部各种物理量三维图谱的重要且必要的步骤。 通常，人们希望解决的完整反问题由于计算限制而难以处理。 由于已有的巨大地震数据集以及即将出现的数据集，这是一个需要解决的问题。 为此，我们提出了一种针对局部日震学的非常高效的线性反演算法。 该算法基于傅里叶域中的减法最优局域平均（SOLA）方案，利用了敏感性核的水平平移不变性。 在傅里叶空间中，问题分解为许多小问题，每个水平波矢对应一个。 该多通道SOLA方法被应用于一个时间-距离日震学的示例问题，该问题足够小，可以在实空间和傅里叶空间中求解。 我们发现，这两种方法都能成功解决反问题。 然而，多通道SOLA算法要快得多，并且可以轻松并行化。 显示英文摘要

摘要： Inversions for local helioseismology are an important and necessary step for obtaining three-dimensional maps of various physical quantities in the solar interior. Frequently, the full inverse problems that one would like to solve prove intractable because of computational constraints. Due to the enormous seismic data sets that already exist and those forthcoming, this is a problem that needs to be addressed. To this end, we present a very efficient linear inversion algorithm for local helioseismology. It is based on a subtractive optimally localized averaging (SOLA) scheme in the Fourier domain, utilizing the horizontal-translation invariance of the sensitivity kernels. In Fourier space the problem decouples into many small problems, one for each horizontal wave vector. This multi-channel SOLA method is demonstrated for an example problem in time-distance helioseismology that is small enough to be solved both in real and Fourier space. We find that both approaches are successful in solving the inverse problem. However, the multi-channel SOLA algorithm is much faster and can easily be parallelized.