On the Possibility of Reflectionless Propagation of Plane Acoustic Waves in Continuously Stratified Media

The example of vertical propagation of acoustic plane waves in the atmosphere is used to establish that the reflectionless propagation of acoustic waves occurs only in continuously stratified media for which wave equations with variable pressure perturbation and vibrational velocity coefficients are...

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Bibliographic Details
Published in:Acoustical physics 2022-04, Vol.68 (2), p.110-117
Main Author: Petukhov, Yu. V.
Format: Article
Language:English
Subjects:
Acoustic impedance
Acoustic propagation
Acoustic properties
Acoustic waves
Acoustics
Analysis
Classical Problems of Linear Acoustics and Wave Theory
Mathematical analysis
Perturbation
Physics
Physics and Astronomy
Plane waves
Propagation
Refractivity
Transformations (mathematics)
Wave equations
Wave propagation
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Summary:The example of vertical propagation of acoustic plane waves in the atmosphere is used to establish that the reflectionless propagation of acoustic waves occurs only in continuously stratified media for which wave equations with variable pressure perturbation and vibrational velocity coefficients are reduced—via the same transformation for the same wave acoustic impedance profile, which is inversely proportional to the refractive index—to a wave comparison equation with constant coefficients. It is shown that the corresponding transformations of the wave equations are possible only for continuously stratified media with a constant wave acoustic impedance.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771022020075