Reflectionless Acoustic Waves in an Inhomogeneous Atmosphere
We study the vertical propagation of acoustic waves in a strongly inhomogeneous atmosphere. The class of monotonically varying profiles for the sound velocity, gas density, and gas pressure, for which acoustic waves can propagate with no reflection outside the framework of the classical WKB approxim...
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| Veröffentlicht in: | Radiophysics and quantum electronics 2023-10, Vol.66 (5-6), p.431-440 |
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| creator | Petrukhin, N. S. Pelinovsky, E. N. Talipova, T. G. |
| description | We study the vertical propagation of acoustic waves in a strongly inhomogeneous atmosphere. The class of monotonically varying profiles for the sound velocity, gas density, and gas pressure, for which acoustic waves can propagate with no reflection outside the framework of the classical WKB approximation, is found. This class of solutions, called reflectionless, is obtained by transforming the levels for waves in an ideal gas located in the gravity field into the Euler—Darboux—Poisson equation of a special kind, which has a solution in the form of a superposition of non-interacting waves propagating in opposite directions. It is noted that with this stratification, acoustic waves can have any frequency, in contrast to the exponential atmosphere, where the cutoff frequency is present. |
| doi_str_mv | 10.1007/s11141-024-10305-y |
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| subjects | Acoustic propagation Acoustic velocity Acoustic waves Astronomy Astrophysics and Astroparticles Gas density Gas pressure Gravitational fields Hadrons Heavy Ions Ideal gas Lasers Mathematical and Computational Physics Nuclear Physics Observations and Techniques Optical Devices Optics Photonics Physics Physics and Astronomy Poisson equation Quantum Optics Specific gravity Theoretical Wave propagation |
| title | Reflectionless Acoustic Waves in an Inhomogeneous Atmosphere |
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