The Effect of Density Stratification on the Modal Structure of Solar Coronal Loops

Details The Effect of Density Stratification on the Modal Structure of Solar Coronal Loops The Effect of Density Stratification on the Modal Structure of Solar Coronal Loops

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd...3e..45s&link_type=abstract

Solar Active Regions and 3D Magnetic Structure, 26th meeting of the IAU, Joint Discussion 3, 16-17 August, 2006, Prague, Czech R

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Since the earliest identifications of the kink oscillations in coronal loops a considerable amount of data have been analysed and possible factors causing the shift in frequency and affecting the oscillation properties of the loops are investigated by different authors. Here, we use analytical and numerical methods to understand the effects of longitudinal density variation on the coronal loops oscillations. We assume that the longitudinal density stratification have mathematically the same functional form at the inside and outside of the loops. We also assume that the mean density of the stratified loop is the same as that of the unstratified one, thus, for two identical loops the mass of unstratified loop is the same as the stratified one. The density distribution along the radius of the loop is assumed to be a step function with different values for inside and outside of the loop. Equations of motion are expressed by second order differential equations that are separable into radial and transverse components. The radial equation is solved in thin tube regime. The transverse equation is solved both by perturbation method, for small density scale heights, and numerically, otherwise. The summary of results are: 1) The ratio of periods of fundamental and first overtone modes decreases markedly with increasing density scale parameter. This is in accord with the observational data of TRACE 2) The behavior of the eigenfunctions for different longitudinal wave numbers is completely different for unstratified and stratified loops.

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