# Universal scaling behavior of resonant absorption

## TL;DR

This paper demonstrates that the universal scaling behavior of resonant absorption, previously observed in planar geometries, also applies to cylindrical geometries across various density profiles, suggesting a fundamental property of wave absorption.

## Contribution

The study generalizes previous findings by showing that the universal scaling behavior of resonant absorption applies to multiple density profiles in cylindrical geometry, extending its applicability.

## Key findings

- Scaling behavior exists for multiple density profiles in cylindrical geometry.
- Universal scaling behavior is likely independent of mode conversion type.
- Results support the hypothesis of a universal scaling law in wave absorption.

## Abstract

Mode conversion and resonant absorption are crucial mechanisms for wave transport and absorption. Scaling behavior of mode conversion or resonant absorption is well-known for electromagnetic and MHD waves in planar geometry. Our recent study showed that such a scaling behavior of resonant absorption could also exist for coronal loop oscillations with cylindrical geometry, but it was only tested for one density profile. Here we generalise our previous study on the scaling behavior of resonant absorption by considering multiple density profiles. Applying an invariant imbedding method to the ideal MHD wave equations, we show that the scaling behavior also exists for these density models. We thus generalise our earlier results and show that such a universal scaling exists in cylindrical geometry, too. Given these results and the earlier results in planar geometry, we formulate a hypothesis that a universal scaling behavior exists regardless of the type of mode conversion or resonant absorption.