Propagation of Leaky MHD Waves at Discontinuities with Tilted Magnetic Field

TL;DR

This paper studies how inclined magnetic fields affect the behavior of magneto-acoustic surface waves at density interfaces, revealing complex frequencies and wave attenuation due to lateral energy leakage.

Contribution

It derives the dispersion relation and analytical solutions for leaky MHD waves with inclined magnetic fields, highlighting the impact of field inclination on wave properties.

Findings

Inclined magnetic fields cause wave frequencies to become complex.

Wave attenuation occurs due to lateral energy leakage.

Analytical solutions are provided for small inclination angles.

Abstract

We investigate the characteristics of magneto-acoustic surface waves propagating at a single density interface, in the presence of an inclined magnetic field. For linear wave propagation, dispersion relation is obtained and analytical solutions are derived for small inclination angle. The inclination of the field renders the frequency of waves to be complex, where the imaginary part describes wave attenuation, due to lateral energy leakage.