Coronal loop oscillations Calculation of resonantly damped MHD quasi-mode kink oscillations of longitudinally stratified loops

By Jesse Andries, M. Goossens, J. V. Hollweg, Iñigo Arregui, T. Van Doorsselaere. 2005

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In Astronomy and Astrophysics

Citations in the corpus

Effect of longitudinal magnetic and density inhomogeneity on transversal coronal loop oscillations (2008, methodology): “Applying this theory to TRACE data of loop oscillations, attempts have been made to estimate coronal density scale heights (see e.g., Andries et al. 2005a; Van Doorsselaere et al. 2007).”
Detection of Waves in the Solar Corona: Kink or Alfvén? (2008, background): “However, critical assessment of the effects of, e.g., curvature (Van Doorsselaere et al. 2004), stratification (Andries et al. 2005), and departure from the circular cross section (Ruderman 2003) has shown to be of secondary importance.”
Coronal loop seismology using multiple transverse loop oscillation harmonics (2007, methodology): “Using the model of Andries et al. (2005a), we find L/πH = 1.02+0.46−0.44.”
MHD seismology of coronal loops using the period and damping of quasi-mode kink oscillations (2007, methodology): “As in Andries et al. (2005b) , we consider a twodimensional variation of plasma density of the form”
Transverse Oscillations of Coronal Loops (2009, methodology): “…eigenfrequencies, ωe0n = πCk(2n − 1)/2L and ωo0n = πCkn/L. Dymova and Ruderman (2006a) also carried out the calculations of eigenfrequencies for the same dependence of the density on z as that used by Andries et al. (2005b) and compared their results with those obtained by Andries et al. (2005b).”
Determination of the Coronal Density Stratification from the Observation of Harmonic Coronal Loop Oscillations (2005, methodology): “From a linear expansion of the dispersion relation, in Andries et al. (2005) we derived a linear expression for the frequency shift due to the presence of density stratification: 1 dq p q a S . n nkk2 n This result is somewhat dependent on the normalization of the frequency, which could be chosen…”
Coronal Seismology by Means of Kink Oscillation Overtones (2009, methodology): “This has first been done by Andries et al. (2005) and Goossens et al. (2006) for the two observations of overtones reported by Verwichte et al. (2004).”