Helioseismic Inversion to Infer the Depth Profile of Solar Meridional Flow Using Spherical Born Kernels

K. Mandal, Shravan Hanasoge, S. P. Rajaguru, H. M. Antia

Research output: Contribution to journalArticle

Abstract

Accurate inferences of solar meridional flow are crucial for understanding solar dynamo processes. Wave travel times, as measured on the surface, will change if the waves encounter perturbations, e.g., in the sound speed or flows, as they propagate through the solar interior. Using functions called sensitivity kernels, we can image the underlying anomalies that cause measured shifts in travel times. The inference of large-scale structures, e.g., meridional circulation, requires computing sensitivity kernels in spherical geometry. Mandal et al. have computed such spherical kernels in the limit of the first-Born approximation. In this work, we perform an inversion for meridional circulation using travel-time measurements obtained from 6 years of Solar Dynamics Observatory/Helioseismic and Magnetic Imager data and those sensitivity kernels. We enforce mass conservation by inverting for a stream function. The number of free parameters is reduced by projecting the solution onto cubic B-splines in radius and derivatives of the Legendre-polynomial basis in latitude, thereby improving the condition number of the inverse problem. We validate our approach for synthetic observations before performing the actual inversion. The inversion suggests a single-cell profile with a return flow occurring at depths below 0.78 R o.

Original languageEnglish (US)
Article number39
JournalAstrophysical Journal
Volume863
Issue number1
DOIs
StatePublished - Aug 10 2018

Fingerprint

meridional flow
travel time
travel
meridional circulation
inversions
inference
sensitivity
profiles
solar interior
Born approximation
helioseismology
Legendre functions
splines
inverse problem
encounters
conservation
observatories
observatory
time measurement
perturbation

Keywords

  • methods: numerical
  • Sun: helioseismology
  • Sun: interior
  • Sun: oscillations
  • waves

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Helioseismic Inversion to Infer the Depth Profile of Solar Meridional Flow Using Spherical Born Kernels. / Mandal, K.; Hanasoge, Shravan; Rajaguru, S. P.; Antia, H. M.

In: Astrophysical Journal, Vol. 863, No. 1, 39, 10.08.2018.

Research output: Contribution to journalArticle

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