Spatial plots of χr (arbitrary units) inside the magnetic tube for m = 1. The solid line is the numerical solution of Eq. (32), the dotted line represents the thin tube approximation in terms of confluent hypergeometric functions (Eq. (63)), and the dashed line its first-order expansion (Eq. (64)). The upper panel is calculated with P = 0.5 and Ω = 1.5, while the lower panel is done with P = 2.0 and Ω = 4.0.
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