Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions, II: the far-field asymptotics

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Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions, II: the far-field asymptotics. / Lyalinov, Mikhail A. .

In: IMA Journal of Applied Mathematics, Vol. 85, No. 1, 28.02.2020, p. 87-112.

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

BibTeX

@article{e85b6144898048718f2306ee28fcb153,

title = "Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions, II: the far-field asymptotics",

abstract = "This work is a natural continuation of our recent study devoted to the scattering of a plane incidentwave by a semi-infinite impedance sector. We develop an approach that enables us to compute differentcomponents in the far-field asymptotics. The method is based on the Sommerfeld integral representationof the scattered wave field, on the careful study of singularities of the integrand and on the asymptoticevaluation of the integral by means of the saddle point technique. In this way, we describe the wavesreflected from the sector, diffracted by its edges or scattered by the vertex as well as the surface waves.Discussion of the far-field in the so-called singular directions (or in the transition zones) is also addressed.",

keywords = "ar-field asymptotics, diffraction by an impedance sector",

author = "Lyalinov, {Mikhail A.}",

year = "2020",

month = feb,

day = "28",

doi = "doi:10.1093/imamat/hxz036",

language = "English",

volume = "85",

pages = "87--112",

journal = "IMA Journal of Applied Mathematics",

issn = "0272-4960",

publisher = "Oxford University Press",

number = "1",

}

RIS

TY - JOUR

T1 - Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions, II: the far-field asymptotics

AU - Lyalinov, Mikhail A.

PY - 2020/2/28

Y1 - 2020/2/28

N2 - This work is a natural continuation of our recent study devoted to the scattering of a plane incidentwave by a semi-infinite impedance sector. We develop an approach that enables us to compute differentcomponents in the far-field asymptotics. The method is based on the Sommerfeld integral representationof the scattered wave field, on the careful study of singularities of the integrand and on the asymptoticevaluation of the integral by means of the saddle point technique. In this way, we describe the wavesreflected from the sector, diffracted by its edges or scattered by the vertex as well as the surface waves.Discussion of the far-field in the so-called singular directions (or in the transition zones) is also addressed.

AB - This work is a natural continuation of our recent study devoted to the scattering of a plane incidentwave by a semi-infinite impedance sector. We develop an approach that enables us to compute differentcomponents in the far-field asymptotics. The method is based on the Sommerfeld integral representationof the scattered wave field, on the careful study of singularities of the integrand and on the asymptoticevaluation of the integral by means of the saddle point technique. In this way, we describe the wavesreflected from the sector, diffracted by its edges or scattered by the vertex as well as the surface waves.Discussion of the far-field in the so-called singular directions (or in the transition zones) is also addressed.

KW - ar-field asymptotics

KW - diffraction by an impedance sector

UR - https://academic.oup.com/imamat/advance-article-abstract/doi/10.1093/imamat/hxz036/5760769

U2 - doi:10.1093/imamat/hxz036

DO - doi:10.1093/imamat/hxz036

M3 - Article

VL - 85

SP - 87

EP - 112

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

SN - 0272-4960

IS - 1

ER -

ID: 50628265