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4 Methods of Local Helioseismology

 4.1 Fourier–Hankel spectral method
  4.1.1 Wavefield decomposition
  4.1.2 Absorption coefficient
  4.1.3 Phase shifts
  4.1.4 Mode mixing
 4.2 Ring-diagram analysis
  4.2.1 Local power spectra
  4.2.2 Measurement procedure
  4.2.3 Depth inversions
 4.3 Time-distance helioseismology
  4.3.1 Fourier filtering
  4.3.2 Cross-covariance functions
  4.3.3 Travel time measurements
  4.3.4 Noise estimation
  4.3.5 Travel time sensitivity kernels
  4.3.6 Inversions of travel times
 4.4 Helioseismic holography
  4.4.1 Ingression and egression
  4.4.2 Holography Green’s functions
  4.4.3 Local control correlations
  4.4.4 Acoustic power holography
  4.4.5 Phase-sensitivity holography
  4.4.6 Far-side imaging
  4.4.7 Acoustic imaging
 4.5 Direct modeling
  4.5.1 Forward problem
  4.5.2 An example calculation
  4.5.3 Inverse problem

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