Diffraction by an Elongated Body of Revolution with Impedance Boundaries: the Boundary Integral Parabolic Equation Method

The problem of diffraction by an elongated body of revolution with impedance boundary conditions is studied. The case of axial incidence of a high-frequency wave is considered. The diffraction process is described using the parabolic equation method. A Volterra-type boundary integral equation is der...

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Bibliographic Details
Published in:Acoustical physics 2019-07, Vol.65 (4), p.340-347
Main Authors: Korolkov, A. I., Shanin, A. V., Belous, A. A.
Format: Article
Language:English
Subjects:
Acoustics
Boundary conditions
Boundary integral method
Classical Problems of Linear Acoustics and Wave Theory
Elongation
Impedance
Integral equations
Iterative methods
Physics
Physics and Astronomy
Wave diffraction
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Summary:The problem of diffraction by an elongated body of revolution with impedance boundary conditions is studied. The case of axial incidence of a high-frequency wave is considered. The diffraction process is described using the parabolic equation method. A Volterra-type boundary integral equation is derived with the aid of Green’s theorem. An iterative numerical solution is constructed for the problem of diffraction by a thin impedance cone.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771019040067