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Solar Physics

, Volume 266, Issue 1, pp 17–38 | Cite as

Resonant Absorption as Mode Conversion?

  • P. S. CallyEmail author
  • J. Andries
Article

Abstract

Resonant absorption and mode conversion are both extensively studied mechanisms for wave “absorption” in solar magnetohydrodynamics (MHD). But are they really distinct? We re-examine a well-known simple resonant absorption model in a cold MHD plasma that places the resonance inside an evanescent region. The normal mode solutions display the standard singular resonant features. However, these same normal modes may be used to construct a ray bundle which very clearly undergoes mode conversion to an Alfvén wave with no singularities. We therefore conclude that resonant absorption and mode conversion are in fact the same thing, at least for this model problem. The prime distinguishing characteristic that determines which of the two descriptions is most natural in a given circumstance is whether the converted wave can provide a net escape of energy from the conversion/absorption region of physical space. If it cannot, it is forced to run away in wavenumber space instead, thereby generating the arbitrarily small scales in situ that we recognize as fundamental to resonant absorption and phase mixing. On the other hand, if the converted wave takes net energy away, singularities do not develop, though phase mixing may still develop with distance as the wave recedes.

Keywords

Oscillations, solar Waves, Alfvén Waves, magnetohydrodynamic 

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Supplementary material

11207_2010_9612_MOESM1_ESM.gif (1.3 mb)
Animation of a ray undergoing reflection and mode conversion, corresponding to the case of Figure 5. The greyscale represents the dilatation χ, with the overplotted blue and red contours being the displacement into the page, ξ y , which is characteristic of the Alfvén wave. (gif 1.30MB)

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Centre for Stellar and Planetary Astrophysics, School of Mathematical SciencesMonash UniversityVictoriaAustralia
  2. 2.Centrum voor Plasma-astrofysicaK.U. LeuvenLeuvenBelgium

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