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A General Formulation for Computing Spherical Helioseismic Sensitivity Kernels while Incorporating Systematical Effects
The Astrophysical Journal ( IF 4.9 ) Pub Date : 2020-06-03 , DOI: 10.3847/1538-4357/ab8eac
Jishnu Bhattacharya 1 , Shravan M. Hanasoge 1, 2 , Katepalli R. Sreenivasan 1, 3
Affiliation  

As helioseismology matures and turns into a precision science, modeling finite-frequency, geometric and systematical effects is becoming increasingly important. Here we introduce a general formulation for treating perturbations of arbitrary tensor rank in spherical geometry using fundamental ideas of quantum mechanics and their extensions in geophysics. We include line-of-sight projections and center-to-limb differences in line-formation heights in our analysis. We demonstrate the technique by computing a travel-time sensitivity kernel for sound-speed perturbations. The analysis produces the spherical harmonic coefficients of the sensitivity kernels, which leads to better-posed and computationally efficient inverse problems.

中文翻译:

结合系统效应计算球面日震灵敏度核的一般公式

随着日震学的成熟并成为一门精密科学,对有限频率、几何和系统效应进行建模变得越来越重要。在这里,我们介绍了使用量子力学的基本思想及其在地球物理学中的扩展来处理球面几何中任意张量秩扰动的一般公式。我们在分析中包括视线投影和线形高度的中心到肢体差异。我们通过计算声速扰动的旅行时间灵敏度内核来演示该技术。该分析产生了灵敏度内核的球谐系数,这导致了更好的和计算效率更高的逆问题。
更新日期:2020-06-03
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