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As helioseismology matures and turns into a precision science, modelingfinite-frequency, geometric and systematical effects is becoming increasinglyimportant. Here we introduce a general formulation for treating perturbationsof arbitrary tensor rank in spherical geometry using fundamental ideas ofquantum mechanics and their extensions in geophysics. We include line-of-sightprojections and center-to-limb differences in line-formation heights in ouranalysis. We demonstrate the technique by computing a travel-time sensitivitykernel for sound-speed perturbations. The analysis produces the sphericalharmonic coefficients of the sensitivity kernels, which leads to better-posedand computationally efficient inverse problems.

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