Equations for the wave perturbations of velocity and pressure in a nonisothermal atmosphere are considered. It is noted that the pressure perturbation has singularities near the altitude where the equality of the horizontal phase velocity of the perturbation and sound velocity in the medium is fulfilled. At this altitude, a thin atmospheric layer with finite mass is concentrated. The wave perturbations do not penetrate to a higher level. The presence of a singularity in the wave perturbation of pressure was numerically confirmed for the actual altitude temperature profiles of the atmosphere.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 57, No. 2, pp. 129–136, February 2014.
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Savina, O.N., Bespalov, P.A. Filtering Features of Long Acoustic-Gravity Waves in a Windless Atmosphere. Radiophys Quantum El 57, 117–124 (2014). https://doi.org/10.1007/s11141-014-9497-6
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DOI: https://doi.org/10.1007/s11141-014-9497-6