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Scattering of acoustic waves by a sector. / Lyalinov, M.A.

In: Wave Motion, Vol. 50, No. 4, 2013, p. 739-762.

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Harvard

Lyalinov, MA 2013, 'Scattering of acoustic waves by a sector', Wave Motion, vol. 50, no. 4, pp. 739-762. https://doi.org/10.1016/j.wavemoti.2013.02.001

APA

Lyalinov, M. A. (2013). Scattering of acoustic waves by a sector. Wave Motion, 50(4), 739-762. https://doi.org/10.1016/j.wavemoti.2013.02.001

Vancouver

Lyalinov MA. Scattering of acoustic waves by a sector. Wave Motion. 2013;50(4):739-762. https://doi.org/10.1016/j.wavemoti.2013.02.001

Author

Lyalinov, M.A. / Scattering of acoustic waves by a sector. In: Wave Motion. 2013 ; Vol. 50, No. 4. pp. 739-762.

BibTeX

@article{64c4776655604ed6919ccfa857aa0dc5,
title = "Scattering of acoustic waves by a sector",
abstract = "In this work we study the problem of diffraction of an acoustic plane wave by a plane angular sector with the Dirichlet boundary condition on its surface. By means of incomplete separation of variables, with the aid of Watson–Bessel integral representation the problem is reduced to an infinite system of linear summation equations of the second kind. Exploiting the reduction of the integral representation to that of the Sommerfeld type, a consequent procedure is then developed in order to describe different components in the far field asymptotics. To that end, the analytic properties and singularities of the integrand in the Sommerfeld integral are carefully studied. The latter plays a crucial role when evaluating the Sommerfeld integral by means of the saddle point technique because these singularities are captured in the process of deformation of the Sommerfeld contours into the steepest descent paths. The corresponding asymptotic contributions of the singularities lead to the description of the different ty",
keywords = "Diffraction by a sector, Far field asymptotics",
author = "M.A. Lyalinov",
year = "2013",
doi = "10.1016/j.wavemoti.2013.02.001",
language = "English",
volume = "50",
pages = "739--762",
journal = "Wave Motion",
issn = "0165-2125",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - Scattering of acoustic waves by a sector

AU - Lyalinov, M.A.

PY - 2013

Y1 - 2013

N2 - In this work we study the problem of diffraction of an acoustic plane wave by a plane angular sector with the Dirichlet boundary condition on its surface. By means of incomplete separation of variables, with the aid of Watson–Bessel integral representation the problem is reduced to an infinite system of linear summation equations of the second kind. Exploiting the reduction of the integral representation to that of the Sommerfeld type, a consequent procedure is then developed in order to describe different components in the far field asymptotics. To that end, the analytic properties and singularities of the integrand in the Sommerfeld integral are carefully studied. The latter plays a crucial role when evaluating the Sommerfeld integral by means of the saddle point technique because these singularities are captured in the process of deformation of the Sommerfeld contours into the steepest descent paths. The corresponding asymptotic contributions of the singularities lead to the description of the different ty

AB - In this work we study the problem of diffraction of an acoustic plane wave by a plane angular sector with the Dirichlet boundary condition on its surface. By means of incomplete separation of variables, with the aid of Watson–Bessel integral representation the problem is reduced to an infinite system of linear summation equations of the second kind. Exploiting the reduction of the integral representation to that of the Sommerfeld type, a consequent procedure is then developed in order to describe different components in the far field asymptotics. To that end, the analytic properties and singularities of the integrand in the Sommerfeld integral are carefully studied. The latter plays a crucial role when evaluating the Sommerfeld integral by means of the saddle point technique because these singularities are captured in the process of deformation of the Sommerfeld contours into the steepest descent paths. The corresponding asymptotic contributions of the singularities lead to the description of the different ty

KW - Diffraction by a sector

KW - Far field asymptotics

U2 - 10.1016/j.wavemoti.2013.02.001

DO - 10.1016/j.wavemoti.2013.02.001

M3 - Article

VL - 50

SP - 739

EP - 762

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

IS - 4

ER -

ID: 7374786