Fig. 1

Phase speed ω/k as a function of normalised wavenumber ka for the trapped sausage (top) and kink (bottom) modes in a loop with density contrast ρ0/ρe = 50 (and plasma β = 0). The solid lines are for the slab geometry and the dashed lines are for the cylindrical geometry. The lower and upper dotted lines correspond to the internal Alfvén speed CA0 and external Alfvén speed CAe, respectively. In the lower panel the middle dotted line corresponds to the kink speed Ck.
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