Finite-frequency Sensitivity Kernels in Spherical Geometry for Time-Distance Helioseismology

Krishnendu Mandal, Jishnu Bhattacharya, Samrat Halder, Shravan Hanasoge

Research output: Contribution to journalArticle

Abstract

The inference of internal properties of the Sun from surface measurements of wave travel times is the goal of time-distance helioseismology. A critical step toward the accurate interpretation of shifts in travel time is the computation of sensitivity functions linking seismic measurements to internal structure. Here we calculate finite-frequency sensitivity kernels in spherical geometry for two-point measurements of travel time. We numerically build Green's function by solving for it at each frequency and each degree of spherical harmonic and summing over all these pieces. These computations are performed in parallel ("embarrassingly"), thereby achieving significant speedup in wall-clock time. Kernels are calculated by invoking the first-order Born approximation connecting deviations in the wave field to perturbations in the operator. Validated flow kernels are shown to produce travel times within 0.47% of the true value for uniform flows up to 750 m s-1. We find that travel time can be obtained with errors of 1 ms or less for flows having magnitudes similar to meridional circulation. Alongside flows, we also compute and validate a sensitivity kernel for perturbations in sound speed. These accurate sensitivity kernels might improve the current inferences of subsurface flows significantly.

Original languageEnglish (US)
Article number89
JournalAstrophysical Journal
Volume842
Issue number2
DOIs
StatePublished - Jun 20 2017

Fingerprint

helioseismology
travel time
travel
geometry
sensitivity
perturbation
inference
Born approximation
meridional circulation
spherical harmonics
Green function
subsurface flow
wave field
uniform flow
clocks
sun
Green's functions
deviation
operators
acoustics

Keywords

  • methods: numerical
  • Sun: helioseismology
  • waves

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Finite-frequency Sensitivity Kernels in Spherical Geometry for Time-Distance Helioseismology. / Mandal, Krishnendu; Bhattacharya, Jishnu; Halder, Samrat; Hanasoge, Shravan.

In: Astrophysical Journal, Vol. 842, No. 2, 89, 20.06.2017.

Research output: Contribution to journalArticle

Mandal, Krishnendu ; Bhattacharya, Jishnu ; Halder, Samrat ; Hanasoge, Shravan. / Finite-frequency Sensitivity Kernels in Spherical Geometry for Time-Distance Helioseismology. In: Astrophysical Journal. 2017 ; Vol. 842, No. 2.
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