Non-reflective Propagation of Kink Waves in Magnetic-Flux Tubes in the Solar Atmosphere

Solar Physics. 2024. Vol. 299. No. 3. Article 26.

Ruderman M. S., Petrukhin N.

We study the non-reflective propagation of kink waves in inhomogeneous magnetic-flux
tubes. We use the thin-tube and zero-beta plasma approximations. The wave equation with
the variable velocity is reduced to the Euler–Poisson–Darboux equation. This equation contains
one dimensionless parameter. There are two infinite sequences of this parameter, one
monotonically increasing and the other monotonically decreasing, when exact analytical
solutions for the Euler–Poisson–Darboux equation can be obtained. For the monotonically
increasing sequences the Euler–Poisson–Darboux equation becomes the equation describing
spherically symmetric waves in multi-dimensional spaces. The general results are applied to
kink-wave propagation in coronal magnetic loops. We consider a coronal magnetic loop of
a half-circular shape. We find that for a fixed loop height there is a one-parametric family of
dependences of the loop cross-sectional radius on the coordinate along the loop corresponding
to the non-reflective kink-wave propagation.

Keywords: coronal magnetic loops, wave reflection, корональные магнитные петли, отражение волн, корона, corona