Proceedings of the International Astronomical Union

Contributed Papers

Resonant acoustic waves in a stratified atmosphere

Y. Taroyana1 and R. Erdélyia1

a1 SP2RC, Department of Applied Mathematics, University of Sheffield, Sheffield S3 7RH, UK email: y.taroyan@sheffield.ac.uk; robertus@sheffield.ac.uk

Abstract

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

  • waves;
  • hydrodynamics;
  • Sun: atmosphere;
  • Sun: photosphere;
  • Sun: chromosphere;
  • Sun: Corona;
  • Sun: oscillations