Magnetohydrodynamic Waves in Sharply and Smoothly Bounded Cylinders
Abstract
Wave propagation in solar coronal loops are studied by finding the modes of a magnetized cylinder which joins smoothly to an exterior medium across a transition region. The density inhomogeneity was treated first as a step function and next as a continuous function with a transition region joining the internal and external value across the cylinder's radius. The spectra for both models were then computed employing analytical and numerical procedures. The spectra for both models were then computed employing analytical and numerical procedures. The sharp-boundary case consisted of a purely discrete spectrum. A continuous profile was found to introduce a continuous spectrum. For the specific continuous profile chosen, the complex discrete spectrum was perturbed from the sharp boundary case.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- April 1992
- DOI:
- 10.1086/171218
- Bibcode:
- 1992ApJ...389..428S
- Keywords:
-
- Coronal Loops;
- Magnetohydrodynamic Waves;
- Plasma Cylinders;
- Solar Magnetic Field;
- Wave Propagation;
- Eigenvalues;
- Magnetic Flux;
- Solar Physics;
- Wave Equations;
- Solar Physics;
- MAGNETOHYDRODYNAMICS: MHD;
- SUN: CORONA