Diffraction of sound waves emitted by a linear source on a inhomogeneous permeable spheroid with a solid spherical inclusion
https://doi.org/10.22405/2226-8383-2025-26-5-323-335
Abstract
In paper the problem of diffraction of a cylindrical harmonic sound wave on an inhomogeneous liquid spheroid with an absolutely rigid spherical inclusion is considered.
It is assumed that the square eccentricity of the spheroid is a small value. The spheroid
is placed in an infinite homogeneous incompressible ideal liquid. A linear source generating
sound waves is parallel to the axis of rotation of the spheroid. The material of the spheroid
is characterized by variable density and speed of sound which are continuous functions of the radial coordinate.
An approximate analytical solution is obtained by the perturbation method problems with
using decompositions in a row by spherical wave functions.
The results of numerical calculations of the directional patterns of the scattered acoustic
field in the far zone are presented.
About the Authors
Lev Alexeevich Tolokonnikov
Tula State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
Danila Vitalevich Okorokov
Tula State University
Russian Federation
Russian Federation
master’s student
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Review
For citations:
Tolokonnikov L.A., Okorokov D.V. Diffraction of sound waves emitted by a linear source on a inhomogeneous permeable spheroid with a solid spherical inclusion. Chebyshevskii Sbornik. 2025;26(5):323-335. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-5-323-335
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