{"title":"A Functional-Analytical Solution to the Ocean Tomography Problem Taking the Interaction of Modes into Account","authors":"S. S. Zorin, A. S. Shurup","doi":"10.1134/S1063771023600985","DOIUrl":null,"url":null,"abstract":"<div><div><p><b>Abstract</b>—A scheme of mode tomography of sound inhomogeneities and currents in the ocean, based on a mathematically rigorous functional-analytical algorithm, is considered. A distinctive feature of the proposed approach is the possibility of taking nonadiabatic mode propagation into account without involving iterative procedures. To simulate the scattering data, the solution of the coupled Lippmann–Schwinger equations is numerically implemented to describe the effects of multichannel mode scattering on inhomogeneities of sound sped and currents. Karhunen–Loeve functions are used to reconstruct three-dimensional scatterers, which allows one to reduce the number of unknowns when solving the inverse problem. The model results illustrate the high spatial resolution and the ability to achieve acceptable noise immunity of the discussed tomographic scheme when using a broadband sensing mode.</p></div></div>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"69 5","pages":"616 - 627"},"PeriodicalIF":0.9000,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acoustical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063771023600985","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract—A scheme of mode tomography of sound inhomogeneities and currents in the ocean, based on a mathematically rigorous functional-analytical algorithm, is considered. A distinctive feature of the proposed approach is the possibility of taking nonadiabatic mode propagation into account without involving iterative procedures. To simulate the scattering data, the solution of the coupled Lippmann–Schwinger equations is numerically implemented to describe the effects of multichannel mode scattering on inhomogeneities of sound sped and currents. Karhunen–Loeve functions are used to reconstruct three-dimensional scatterers, which allows one to reduce the number of unknowns when solving the inverse problem. The model results illustrate the high spatial resolution and the ability to achieve acceptable noise immunity of the discussed tomographic scheme when using a broadband sensing mode.
期刊介绍:
Acoustical Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It covers theoretical and experimental aspects of basic and applied acoustics: classical problems of linear acoustics and wave theory; nonlinear acoustics; physical acoustics; ocean acoustics and hydroacoustics; atmospheric and aeroacoustics; acoustics of structurally inhomogeneous solids; geological acoustics; acoustical ecology, noise and vibration; chamber acoustics, musical acoustics; acoustic signals processing, computer simulations; acoustics of living systems, biomedical acoustics; physical principles of engineering acoustics. The journal publishes critical reviews, original articles, short communications, and letters to the editor. It covers theoretical and experimental aspects of basic and applied acoustics. The journal welcomes manuscripts from all countries in the English or Russian language.