A general formulation for computing spherical helioseismic sensitivity kernels while incorporating systematical effects
Solar and Stellar Astrophysics
2020-09-16 v1
Abstract
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.
Cite
@article{arxiv.2009.07056,
title = {A general formulation for computing spherical helioseismic sensitivity kernels while incorporating systematical effects},
author = {Jishnu Bhattacharya and Shravan M. Hanasoge and Katepalli R. Sreenivasan},
journal= {arXiv preprint arXiv:2009.07056},
year = {2020}
}