Resonant absorption of surface sausage and surface kink modes under photospheric conditions

TL;DR

This paper investigates how resonant absorption affects surface sausage and kink modes in the photosphere, revealing that slow continuum damping efficiently dampens certain modes, with implications for wave energy dissipation.

Contribution

It provides analytical formulas for damping rates and demonstrates the efficiency of resonant absorption in photospheric conditions, extending understanding beyond coronal scenarios.

Findings

Resonant absorption efficiently damps slow surface sausage modes.

Damping of slow surface kink modes in the Alfvén continuum is weak.

Fast surface kink modes experience stronger damping than slow modes.

Abstract

We study the effect of resonant absorption of surface sausage and surface kink modes under photospheric conditions where the slow surface sausage modes undergo resonant damping in the slow continuum and the surface kink modes in the slow and Alfv\'{e}n continua at the transitional layers. We use recently derived analytical formulas to obtain the damping rate (time). By considering linear density and linear pressure profiles for the transitional layers, we show that resonant absorption in the slow continuum could be an efficient mechanism for the wave damping of the slow surface sausage and slow surface kink modes whilst the damping rate of the slow surface kink mode in the Alfv\'{e}n continuum is weak. It is also found that the resonant damping of the fast surface kink mode is much stronger than that of the slow surface kink mode, showing a similar efficiency as under coronal conditions. It is worth to notice that the slow body sausage and kink modes can also resonantly damp in the slow continuum for those linear profiles.