Abstract

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 in-homogeneous 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.

Highlights

  • The date given as uniquely identifies the version of the article you are referring to

  • Helioseismology is a powerful tool to study the interior of the Sun from surface observations of naturally-excited internal acoustic and surface-gravity waves

  • Helioseismological studies based on the interpretation of the eigenfrequencies of the resonant modes of oscillations have yielded many exciting results about the internal structure and dynamics of the Sun

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Summary

Outline

Helioseismology is a powerful tool to study the interior of the Sun from surface observations of naturally-excited internal acoustic and surface-gravity waves. Techniques of local helioseismology are being developed to probe local perturbations in the solar interior or on its surface (see review by Duvall Jr, 1998).

Data for local helioseismology
Properties of solar oscillations
Models of Solar Oscillations
Linear waves
Wave excitation
Response to an impulsive source
Direct solution in plane-parallel models
Normal-mode summation approximation
Green’s functions for the observable
The zero-order problem
Effects of small steady perturbations
Tests of Born approximation for sound speed and flow perturbations
Strong perturbations: magnetic tubes and sunspots
Wavefield decomposition
Absorption coefficient
Phase shifts
Mode mixing
Local power spectra
Measurement procedure
Depth inversions
Time-distance helioseismology
Fourier filtering
Cross-covariance functions
Travel time measurements
Noise estimation
Travel time sensitivity kernels
Inversions of travel times
Helioseismic holography
Ingression and egression
Holography Green’s functions
Local control correlations
Acoustic power holography
Phase-sensitivity holography
Far-side imaging
Acoustic imaging
Direct modeling
Forward problem
An example calculation
Inverse problem
Global scales
Rotation and torsional oscillations
Meridional flow and its variations
Vertical flows
Search for variability at the tachocline
Ordered flows near complexes of magnetic activity
Effect on longitudinal averages of large-scale flows
Sunspot flows
Sinks and sources of acoustic waves
Phase shifts and wave-speed perturbations
Excitation of waves by flares
Paradigms
Horizontal flows and vertical structure
Rotation-induced vorticity
Pattern evolution
Traveling-wave convection
Full Text
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