{"title":"Reflectionless Acoustic Waves in an Inhomogeneous Atmosphere","authors":"N. S. Petrukhin, E. N. Pelinovsky, T. G. Talipova","doi":"10.1007/s11141-024-10305-y","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"66 5-6","pages":"431 - 440"},"PeriodicalIF":0.8000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-024-10305-y","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as:
Radio astronomy;
Plasma astrophysics;
Ionospheric, atmospheric and oceanic physics;
Radiowave propagation;
Quantum radiophysics;
Pphysics of oscillations and waves;
Physics of plasmas;
Statistical radiophysics;
Electrodynamics;
Vacuum and plasma electronics;
Acoustics;
Solid-state electronics.
Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April.
All articles are peer-reviewed.
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