The inverse problem of acoustic-wave scattering for thin acoustically rigid bodies

DOI10.1016/0021-8928(84)90112-6zbMath0566.73026OpenAlexW1997526247MaRDI QIDQ1059425

V. F. Emets

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90112-6

zbMATH Keywords

regularizationLaplace operatorSommerfeld radiation conditionNeumann serieslow-frequency scatteringacoustically rigid wallsanalytical algorithmdiscrete set of wave numbersplane acoustic wavesscattering amplitude known in one direction in spaceshape of the scatterer

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Ill-posed problems for PDEs (35R25) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves in solid mechanics (74J99)

Cites Work

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• Remarks on the inverse scattering problem for low frequency acoustic waves
• On Neumann's method for the exterior Neumann problem for the Helmholtz equation

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