Scattering Matrix at Small Frequencies in a Junction of Cylindrical Acoustic Waveguides

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Scattering Matrix at Small Frequencies in a Junction of Cylindrical Acoustic Waveguides. / Nazarov, S. A.

In: Mechanics of Solids, Vol. 55, No. 8, 12.2020, p. 1340-1350.

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

BibTeX

@article{353a613aa0ea44afbab3f0d546336d9a,

title = "Scattering Matrix at Small Frequencies in a Junction of Cylindrical Acoustic Waveguides",

abstract = "Abstract: A junction of N semi-infinite cylindrical acoustic waveguides is considered. The asymptotics of the scattering matrix is constructed for small frequencies. The effects of almost complete reflection and complete transmission of waves are found only in the cases N = 1 and N = 2 under condition of equal cross section areas, while for other cases, there are no anomalies of the wave diffraction.",

keywords = "asymptotics, junction of semi-infinite cylindrical acoustic waveguides, scattering and polarization matrices, small frequencies, Weinstein anomalies",

author = "Nazarov, {S. A.}",

note = "Publisher Copyright: {\textcopyright} 2020, Allerton Press, Inc.",

year = "2020",

month = dec,

doi = "10.3103/S0025654420080191",

language = "English",

volume = "55",

pages = "1340--1350",

journal = "Mechanics of Solids",

issn = "0025-6544",

publisher = "Allerton Press, Inc.",

number = "8",

}

RIS

TY - JOUR

T1 - Scattering Matrix at Small Frequencies in a Junction of Cylindrical Acoustic Waveguides

AU - Nazarov, S. A.

PY - 2020/12

Y1 - 2020/12

N2 - Abstract: A junction of N semi-infinite cylindrical acoustic waveguides is considered. The asymptotics of the scattering matrix is constructed for small frequencies. The effects of almost complete reflection and complete transmission of waves are found only in the cases N = 1 and N = 2 under condition of equal cross section areas, while for other cases, there are no anomalies of the wave diffraction.

AB - Abstract: A junction of N semi-infinite cylindrical acoustic waveguides is considered. The asymptotics of the scattering matrix is constructed for small frequencies. The effects of almost complete reflection and complete transmission of waves are found only in the cases N = 1 and N = 2 under condition of equal cross section areas, while for other cases, there are no anomalies of the wave diffraction.

KW - asymptotics

KW - junction of semi-infinite cylindrical acoustic waveguides

KW - scattering and polarization matrices

KW - small frequencies

KW - Weinstein anomalies

UR - http://www.scopus.com/inward/record.url?scp=85101597185&partnerID=8YFLogxK

U2 - 10.3103/S0025654420080191

DO - 10.3103/S0025654420080191

M3 - Article

AN - SCOPUS:85101597185

VL - 55

SP - 1340

EP - 1350

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 8

ER -

ID: 88366116