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IssuesArchive of Issues2020-8pp.1340-1350

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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 2020Revised 22 May 2020Accepted 11 June 2020
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