<< Previous article | Volume 55, Issue 8 / 2020 | Next article >> |
Nazarov S.A., "Scattering Matrix at Small Frequencies in a Junction of Cylindrical Acoustic Waveguides," Mech. Solids. 55 (8), 1340-1350 (2020) |
Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1340-1350 |
DOI |
10.3103/S0025654420080191 |
Title |
Scattering Matrix at Small Frequencies in a Junction of Cylindrical Acoustic Waveguides |
Author(s) |
Nazarov S.A. (St. Petersburg State University, St. Petersburg, 199034 Russia, srgnazarov@yahoo.co.uk) |
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 reflec
tion 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 |
junction of semi-infinite cylindrical acoustic waveguides, small frequencies, scattering and polarization matrices, asymptotics, Weinstein anomalies |
Received |
06 April 2020 | Revised |
22 May 2020 | Accepted |
11 June 2020 |
Link to Fulltext |
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