Atmospheric-radiation boundary conditions for high-frequency waves in time-distance helioseismology

D. Fournier, M. Leguèbe, C. S. Hanson, Laurent Gizon, H. Barucq, J. Chabassier, M. Duruflé

Research output: Contribution to journalArticle

Abstract

The temporal covariance between seismic waves measured at two locations on the solar surface is the fundamental observable in time-distance helioseismology. Above the acoustic cut-off frequency (∼5.3 mHz), waves are not trapped in the solar interior and the covariance function can be used to probe the upper atmosphere. We wish to implement appropriate radiative boundary conditions for computing the propagation of high-frequency waves in the solar atmosphere. We consider recently developed and published radiative boundary conditions for atmospheres in which sound-speed is constant and density decreases exponentially with radius. We compute the cross-covariance function using a finite element method in spherical geometry and in the frequency domain. The ratio between first-and second-skip amplitudes in the time-distance diagram is used as a diagnostic to compare boundary conditions and to compare with observations. We find that a boundary condition applied 500 km above the photosphere and derived under the approximation of small angles of incidence accurately reproduces the "infinite atmosphere" solution for high-frequency waves. When the radiative boundary condition is applied 2 Mm above the photosphere, we find that the choice of atmospheric model affects the time-distance diagram. In particular, the time-distance diagram exhibits double-ridge structure when using a Vernazza Avrett Loeser atmospheric model.

Original languageEnglish (US)
Article numberA109
JournalAstronomy and Astrophysics
Volume608
DOIs
StatePublished - Dec 1 2017

Fingerprint

atmospheric radiation
helioseismology
boundary condition
boundary conditions
atmospheric models
diagram
diagrams
photosphere
atmosphere
solar interior
atmospheres
acoustics
solar atmosphere
seismic waves
upper atmosphere
seismic wave
finite element method
ridges
cut-off
incidence

Keywords

  • Methods: numerical
  • Sun: atmosphere
  • Sun: helioseismology

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Atmospheric-radiation boundary conditions for high-frequency waves in time-distance helioseismology. / Fournier, D.; Leguèbe, M.; Hanson, C. S.; Gizon, Laurent; Barucq, H.; Chabassier, J.; Duruflé, M.

In: Astronomy and Astrophysics, Vol. 608, A109, 01.12.2017.

Research output: Contribution to journalArticle

Fournier, D. ; Leguèbe, M. ; Hanson, C. S. ; Gizon, Laurent ; Barucq, H. ; Chabassier, J. ; Duruflé, M. / Atmospheric-radiation boundary conditions for high-frequency waves in time-distance helioseismology. In: Astronomy and Astrophysics. 2017 ; Vol. 608.
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