Probing solar convection

Brüggen, M.

doi:10.1046/j.1365-8711.2000.03243.x

Cited by 5 publications

(2 citation statements)

References 26 publications

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“…In the Rytov approximation one computes the first order correction to the phase of the wavefield rather than the correction to the wavefield itself. For applications in the context of helioseismology, see Brüggen (2000) and Jensen and Pijpers (2003). The Born and Rytov approximations have been compared by Keller (1969).…”

Section: Effects Of Small Steady Perturbationsmentioning

confidence: 99%

Local Helioseismology

Gizon

Birch

2005

Living Rev. Solar Phys.

273

208

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We review the current status of local helioseismology, covering both theoretical and observational results. After a brief introduction to solar oscillations and wave propagation through inhomogeneous media, we describe the main techniques of local helioseismology: Fourier-Hankel decomposition, ring-diagram analysis, time-distance helioseismology, helioseismic holography, and direct modeling. We discuss local helioseismology of large-scale flows, the solar-cycle dependence of these flows, perturbations associated with regions of magnetic activity, and solar supergranulation.

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Section: Effects Of Small Steady Perturbationsmentioning

confidence: 99%

Local Helioseismology

Gizon

Birch

2005

Living Rev. Solar Phys.

273

208

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“…Stein & Nordlund 1998). The influence of such a turbulent state was analyzed by Brüggen (2000) and Bi & Xu (2000) whose analytical linewidths for the p 1 -mode fits a part of the observational data (Duvall et al 1998). To describe such a turbulent state we assume that the equilibrium mass density can be written as follows:…”

Section: Hydrodynamic Equationsmentioning

confidence: 99%

The effect of time-dependent random mass density field on frequencies of solar sound waves

Murawski

Nocera

2001

A&A

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Abstract. The effect of a time-dependent random mass density field on the frequencies and amplitudes of solar p-modes approximated as sound waves is considered by analytical perturbative means and numerical simulations for one-dimensional hydrodynamic equations. The analytical results, which are worked out for a Gaussian spectrum of the random mass fluctuations, show frequency increase and amplitude amplification, in agreement with numerical simulations.

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Sensitivity kernels for time-distance inversion based on the Rytov approximation

Jensen

Pijpers

2003

A&A

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Abstract. The study of the solar convection zone has been given a new impetus with what promises to be a very powerful new tool in time-distance helioseismology (Duvall et al. 1993). Using data obtained with this technique, it has become possible to do a tomographic reconstruction of structures in the convection zone. Most of the work done on inversion of these data has relied on the ray approximation to deliver sensitivity kernels for the inversion procedures (Kosovichev 1996). Inversions using non ray-theoretical kernels were shown by Jensen et al. (2001). In this paper we go beyond the ray approximation and derive sensitivity kernels based on the Rytov approximation and Green's function theory. We derive an expression for the sensitivity kernel using ray-based Green's functions and show how further approximations can be done to increase the computational efficiency.

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Probing solar convection

Cited by 5 publications

References 26 publications

Local Helioseismology

Local Helioseismology

The effect of time-dependent random mass density field on frequencies of solar sound waves

Sensitivity kernels for time-distance inversion based on the Rytov approximation

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