Scattering of acoustic waves from a point source over an impedance wedge

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Scattering of acoustic waves from a point source over an impedance wedge. / Lyalinov, Mikhail A.; Polyanskaya, Svetlana V.

In: Wave Motion, Vol. 93, 102472, 03.2020.

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

BibTeX

@article{3e22c2f1bfc94bb4be443b92e8fcf591,

title = "Scattering of acoustic waves from a point source over an impedance wedge",

abstract = "In this work we study diffraction of a spherical acoustic wave due to a point source, by an impedance wedge In the exterior of the wedge the acoustic pressure satisfies the stationary wave (Helmholtz) equation and classical impedance boundary conditions on two faces of the wedge, as well as Meixner{\textquoteright}s condition at the edge and the radiation conditions at infinity. Solution of the boundary value problem is represented by a Weyl type integral and its asymptotic behavior is discussed. On this way, we derive various components in the far field interpreting them accordingly and discussing their physical meaning.",

keywords = "Acoustic diffraction, Point source, Impedance wedge, Sommerfeld–Malyuzhinets technique, Far-field asymptotics, ELECTROMAGNETIC-WAVE, DIFFRACTION, Sommerfeld-Malyuzhinets technique",

author = "Lyalinov, {Mikhail A.} and Polyanskaya, {Svetlana V.}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2020",

month = mar,

doi = "https://doi.org/10.1016/j.wavemoti.2019.102472",

language = "English",

volume = "93",

journal = "Wave Motion",

issn = "0165-2125",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Scattering of acoustic waves from a point source over an impedance wedge

AU - Lyalinov, Mikhail A.

AU - Polyanskaya, Svetlana V.

PY - 2020/3

Y1 - 2020/3

N2 - In this work we study diffraction of a spherical acoustic wave due to a point source, by an impedance wedge In the exterior of the wedge the acoustic pressure satisfies the stationary wave (Helmholtz) equation and classical impedance boundary conditions on two faces of the wedge, as well as Meixner’s condition at the edge and the radiation conditions at infinity. Solution of the boundary value problem is represented by a Weyl type integral and its asymptotic behavior is discussed. On this way, we derive various components in the far field interpreting them accordingly and discussing their physical meaning.

AB - In this work we study diffraction of a spherical acoustic wave due to a point source, by an impedance wedge In the exterior of the wedge the acoustic pressure satisfies the stationary wave (Helmholtz) equation and classical impedance boundary conditions on two faces of the wedge, as well as Meixner’s condition at the edge and the radiation conditions at infinity. Solution of the boundary value problem is represented by a Weyl type integral and its asymptotic behavior is discussed. On this way, we derive various components in the far field interpreting them accordingly and discussing their physical meaning.

KW - Acoustic diffraction

KW - Point source

KW - Impedance wedge

KW - Sommerfeld–Malyuzhinets technique

KW - Far-field asymptotics

KW - ELECTROMAGNETIC-WAVE

KW - DIFFRACTION

KW - Sommerfeld-Malyuzhinets technique

UR - https://doi.org/10.1016/j.wavemoti.2019.102472

UR - http://www.scopus.com/inward/record.url?scp=85075478656&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/86375ec6-5646-3fe0-9188-e5468d5b3553/

U2 - https://doi.org/10.1016/j.wavemoti.2019.102472

DO - https://doi.org/10.1016/j.wavemoti.2019.102472

M3 - Article

VL - 93

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

M1 - 102472

ER -

ID: 48988414