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Resonant acoustic waves in a stratified atmosphere

Published online by Cambridge University Press:  01 September 2007

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
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Abstract

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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.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2008

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