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The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model. / Andronov, I. V.

In: Acoustical Physics, Vol. 53, No. 6, 01.11.2007, p. 653-659.

Research output: Contribution to journal › Article › peer-review

Harvard

Andronov, IV 2007, 'The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model', Acoustical Physics, vol. 53, no. 6, pp. 653-659. https://doi.org/10.1134/S1063771007060012

APA

Andronov, I. V. (2007). The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model. Acoustical Physics, 53(6), 653-659. https://doi.org/10.1134/S1063771007060012

Vancouver

Andronov IV. The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model. Acoustical Physics. 2007 Nov 1;53(6):653-659. https://doi.org/10.1134/S1063771007060012

Author

Andronov, I. V. / The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model. In: Acoustical Physics. 2007 ; Vol. 53, No. 6. pp. 653-659.

BibTeX

@article{67303bf1823c44cf96d487cc3b38af4b,
title = "The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model",
abstract = "The three-dimensional problem of the sound wave scattering by a compact obstacle of a general form in an Uflyand-Mindlin plate is considered. A formula that expresses the scattering field in terms of the analytic continuation of the directivity pattern is derived, and the formulas that describe the coupling of the scattering channels and allow the calculation of the surface wave amplitudes from the residues of the directivity pattern are obtained. For the case of nonradiating obstacles, the uniqueness of the solution to the scattering problem in the absence of absorption is established. An example of a localized shear wave is presented.",
author = "Andronov, {I. V.}",
year = "2007",
month = nov,
day = "1",
doi = "10.1134/S1063771007060012",
language = "English",
volume = "53",
pages = "653--659",
journal = "Acoustical Physics",
issn = "1063-7710",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "6",

}

RIS

TY - JOUR

T1 - The analytic properties and uniqueness of the solutions to problems of scattering by compact obstacles in an infinite plate described by the Uflyand-Mindlin model

AU - Andronov, I. V.

PY - 2007/11/1

Y1 - 2007/11/1

N2 - The three-dimensional problem of the sound wave scattering by a compact obstacle of a general form in an Uflyand-Mindlin plate is considered. A formula that expresses the scattering field in terms of the analytic continuation of the directivity pattern is derived, and the formulas that describe the coupling of the scattering channels and allow the calculation of the surface wave amplitudes from the residues of the directivity pattern are obtained. For the case of nonradiating obstacles, the uniqueness of the solution to the scattering problem in the absence of absorption is established. An example of a localized shear wave is presented.

AB - The three-dimensional problem of the sound wave scattering by a compact obstacle of a general form in an Uflyand-Mindlin plate is considered. A formula that expresses the scattering field in terms of the analytic continuation of the directivity pattern is derived, and the formulas that describe the coupling of the scattering channels and allow the calculation of the surface wave amplitudes from the residues of the directivity pattern are obtained. For the case of nonradiating obstacles, the uniqueness of the solution to the scattering problem in the absence of absorption is established. An example of a localized shear wave is presented.

UR - http://www.scopus.com/inward/record.url?scp=36348958408&partnerID=8YFLogxK

U2 - 10.1134/S1063771007060012

DO - 10.1134/S1063771007060012

M3 - Article

AN - SCOPUS:36348958408

VL - 53

SP - 653

EP - 659

JO - Acoustical Physics

JF - Acoustical Physics

SN - 1063-7710

IS - 6

ER -

ID: 39981577