Theoretical and Experimental Study of Diffraction by a Thin Cone

The problem of diffraction of ultrasonic waves by a sharp-angled rigid cone is studied. In the framework of the parabolic equation method, an analytical solution of the problem with an arbitrarily located point source is constructed. Namely, the problem is reduced to the Volterra boundary integral e...

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Bibliographic Details
Published inAcoustical physics Vol. 70; no. 3; pp. 424 - 433
Main Authors Laptev, A. Yu, Korol’kov, A. I., Shanin, A. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2024
Springer Nature B.V
Subjects
Acoustics
Boundary integral method
Classical Problems of Linear Acoustics and Wave Theory
Exact solutions
Fourier transforms
Integral equations
Narrowband
Physics
Physics and Astronomy
Sound diffraction
Sound sources
Wave diffraction
parabolic equation method
M-sequence method
canonical diffraction problems
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Summary:The problem of diffraction of ultrasonic waves by a sharp-angled rigid cone is studied. In the framework of the parabolic equation method, an analytical solution of the problem with an arbitrarily located point source is constructed. Namely, the problem is reduced to the Volterra boundary integral equation, which can be solved using the Fourier transform. An experimental measurement of the diffracted field is performed. The experiment is based on the M-sequence method adapted for narrowband sound sources. The experimental and theoretical results are compared.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771023600754