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arXiv · 2009.07056

A general formulation for computing spherical helioseismic sensitivity kernels while incorporating systematical effects

Jishnu Bhattacharya·Shravan M. Hanasoge·Katepalli R. Sreenivasan
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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.

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Jishnu Bhattacharya, Shravan M. Hanasoge, Katepalli R. Sreenivasan. 2020-09-15. A general formulation for computing spherical helioseismic sensitivity kernels while incorporating systematical effects. https://doi.org/10.3847/1538-4357%2Fab8eac

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