Hostname: page-component-54dcc4c588-b5cpw Total loading time: 0 Render date: 2025-10-12T20:21:52.555Z Has data issue: false hasContentIssue false
  • English
  • Français

Resonant acoustic waves in a stratified atmosphere

Published online by Cambridge University Press:  01 September 2007

Y. Taroyan  and
R. Erdélyi
Y. Taroyan
Affiliation:
SP2RC, Department of Applied Mathematics, University of Sheffield, Sheffield S3 7RH, UK email: y.taroyan@sheffield.ac.uk; robertus@sheffield.ac.uk
R. Erdélyi
Affiliation:
SP2RC, Department of Applied Mathematics, University of Sheffield, Sheffield S3 7RH, UK email: y.taroyan@sheffield.ac.uk; robertus@sheffield.ac.uk
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The upward propagation of linear acoustic waves in a gravitationally stratified atmosphere is studied. The wave motion is governed by the Klein-Gordon equation which contains a cut-off frequency introduced by stratification. The acoustic cut-off may act as a potential barrier when the temperature decreases with height. It is shown that waves trapped below the barrier could be subject to a resonance which extends into the entire unbounded atmosphere. The parameter space characterizing the resonance is explored.

Keywords

waveshydrodynamicsSun: atmosphereSun: photosphereSun: chromosphereSun: CoronaSun: oscillations

References

Banerjee, D., Erdélyi, R., Oliver, R. & O'Shea, E. 2007 Solar Phys., 246, 3CrossRefGoogle Scholar
Lamb, H., Hydrodynamics, Cambridge University Press, Cambridge, 1953Google Scholar
Fossum, A. & Carlsson, M. 2005, Nature, 435, 919CrossRefGoogle Scholar
Jefferies, S.M., McIntosh, S.W., Armstrong, J.D. et al. 2006, ApJ, 648, L151CrossRefGoogle Scholar
De Pontieu, B., Erdélyi, R., & James, S.P. 2004 Nature, 430, 546CrossRefGoogle Scholar
De Pontieu, D., Erdélyi, R. & De Moortel, I. 2005, ApJ, 624, L61CrossRefGoogle Scholar
Erdélyi, R. 2004, Astron. Geophys., 45, 4.34CrossRefGoogle Scholar
Erdélyi, R. 2007 AIP-CP, 919, 122Google Scholar
Roberts, B. 2004, in: Erdélyi, R., Ballester, J.L. & Fleck, B. (sci eds.) SOHO 13 Waves, Oscillations and Small-Scale Transients Events in the Solar Atmosphere: Joint View from SOHO and TRACE, ESA-SP, 547, 1Google Scholar
Landau, L.D. & Lifshitz, E.M.Quantum Mechanics, Pergamon Press, Oxford, 1977Google Scholar
Spruit, H.C. & Roberts, B. 1983, Nature, 304, 401CrossRefGoogle Scholar