RUS  ENG
Full version
JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2025 Volume 26, Issue 1, Pages 190–203 (Mi cheb1526)

HISTORY OF MATHEMATICS AND APPLICATIONS

Diffraction of a cylindrical sound wave on a multilayered spheroid

L. A. Tolokonnikova, S. L. Tolokonnikovb

a Tula State University (Tula)
b Lomonosov Moscow State University (Moscow)

Abstract: The article considers the problem of diffraction of a harmonic cylindrical sound wave on a multilayered spheroid is considered. The multilayered spheroid consist from an absolutely rigid spheroid and surroundøòï homogeneous spheroidal layers of an ideal compressible liquid. It is assumed that the spheroid is in an infinite ideal liquid. A cylindrical wave is emitted by an infinitely long linear source parallel to the axis of rotation of the spheroid.
The problem is solved in an elongated spheroidal coordinate system. An analytical solution of the problem has been obtained. A special case of a two-layer spheroid is considered.

Keywords: diffraction, sound waves, cylindrical wave, multilayered spheroid, ideal fluid.

UDC: 539.3:534.26

Received: 14.12.2024
Accepted: 10.03.2025

DOI: 10.22405/2226-8383-2025-26-1-190-203



© Steklov Math. Inst. of RAS, 2026