Exact solutions for standing kink modes of the longitudinally stratified coronal loops

• DOI: 10.48550/arxiv.0802.1322
• Publication Date: 2008-01-01
• Authors: Neda Dadashi; Hossein Safari; S. Nasiri; Y. Sobouti
• Keywords: Coronal loop; Overtone; Dispersion relation; Scale height; Sine; Mode (computer interface); Stratification (seeds)

The influence of longitudinal structuring on the fast kink modes coronal loops is investigated. Analytical dispersion relations and mode profiles are derived for second-order ordinary differential equation governing z- component perturbation in magnetic field, $δB_z$. All other components given terms Deviations from frequencies homogenous as functions density scale height. effects fixed variable column masses, negative heights, contrasts inside outside studied. frequency ratios, profiles, antinode shifts those sine loops, tools to estimate solar photospheric parameters. To this end, we have expanded relevant factors up second order stratification parameter. In particular, verify that first overtone Mm range within reach resolutions present day observations.