2018/12/17 by B. Tripathi, Tripathi, B., Dhrubaditya Mitra +1
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Gravity Measurements #Ionosphere and magnetosphere dynamics #Solar and Space Plasma Dynamics #Solar and Stellar Astrophysics (astro-ph.SR)
paper · pdf · doi:10.48550/arxiv.1812.06947
openalex publication_date 2018/12/17 · openalex created_date 2022/11/30 · openalex updated_date 2026/08/01
We solve for waves in an isothermal, stratified medium with a magnetic field that points along a direction perpendicular to that of gravity and varies exponentially in the direction of gravity. We find exact analytical solutions for two different cases: (a) waves propagating along the direction of the magnetic field and (b) waves propagating along the direction of the gravity. In each case, we find solutions in terms of either the hypergeometric functions or their confluent cousins. We solve the resultant transcendental dispersion relation numerically. The changes in the eigenfrequencies due to a spatially inhomogeneous Alfvén wave speed are significant -- there are more oscillations or leaking of nodes of the eigenfunctions in regions of lower Alfvén speed and wave reflection from regions of larger Alfvén speed. Such changes in the dispersion relation and the mode structures may allow detection of magnetic fields buried in the stellar interior.