论文标题
在球形几何形状中流动的气旋有限频灵敏度内核，包括系统效应
Helioseismic finite-frequency sensitivity kernels for flows in spherical geometry including systematic effects
论文作者
论文摘要
太阳内部大规模流的热溶性推断需要考虑太阳的曲率，这既在解释测量中引入的系统趋势以及将光球测量与地下流量速度相关的灵敏度内趋势。另外，将测量结果与模型参数相关的逆问题需要很好地供应，以获得准确的推论，这需要一组稀疏的参数。此外，敏感性功能在计算上需要易于评估。在这项工作中，我们通过证明可以在向量球形谐波的基础上有效地计算出对流速度的灵敏度内核来解决这些问题。我们还能够说明多普勒测量值的视线预测以及线形成高度的中心差异。我们表明，鉴于背景模型的假定球形对称性，同时计算旋转相关的观测点的内核通常是便宜的。因此，这种方法特别适合在阳光下大规模流动（例如子午循环）的反问题。
Helioseismic inferences of large-scale flows in the solar interior necessitate accounting for the curvature of the Sun, both in interpreting systematic trends introduced in measurements as well as the sensitivity kernel that relates photospheric measurements to subsurface flow velocities. Additionally the inverse problem that relates measurements to model parameters needs to be well-posed to obtain accurate inferences, which necessitates a sparse set of parameters. Further, the sensitivity functions need to be computationally easy to evaluate. In this work we address these issues by demonstrating that the sensitivity kernels for flow velocities may be computed efficiently in a basis of vector spherical harmonics. We are also able to account for line-of-sight projections in Doppler measurements, as well as center-to-limb differences in line-formation heights. We show that given the assumed spherical symmetry of the background model, it is often cheap to simultaneously compute the kernels for pairs of observation points that are related by a rotation. Such an approach is therefore particularly well-suited to inverse problems for large-scale flows in the Sun, such as meridional circulation.
