Wavefunction Properties of a Single and a System of Magnetic Flux Tube(s) Oscillations

TL;DR

This paper investigates the wavefunctions of MHD oscillations in magnetic flux tubes using finite element methods, classifying modes and wave types to aid coronal seismology and future solar observations.

Contribution

It provides a detailed classification of wavefunctions and wave types in flux tubes, applying FEM to solve the eigenvalue problem for MHD oscillations.

Findings

Wavefunctions categorized into sausage, kink, helical kink, and fluting modes.

Identification of body, surface, and leaky waves in flux tubes.

Application of results to coronal seismology and solar loop studies.

Abstract

In this study, the properties of wavefunctions of the MHD oscillations for a single and a system of straight flux tubes are investigated. Magnetic flux tubes with a straight magnetic field and longitudinal density stratification were considered in zero-\beta approximation. A single three-dimensional wave equation (eigen value problem) is solved for longitudinal component of the perturbed magnetic field using the finite element method (FEM). Wavefunctions (eigenfunction of wave equation) of the MHD oscillations are categorized into sausage, kink, helical kink and fluting modes. Concerning the amplitude location of the waves that arise from the flux tube, those waves are identified as body, surface, and leaky waves, appeared in the case of both a single and a system of flux tubes. Exact recognition of the wavefunctions can be used in coronal seismology and also helps to the future high resolution instruments that would be designed for studying the properties of the solar loop oscillations in details.