  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.
