 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| S.A. Nazarov, "Abnormal Transmission of Elastic Waves through a Thin Ligament Connecting Two Planar Isotropic Waveguides," Mech. Solids. 57 (8), 1908-1922 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
1908-1922 |
| DOI |
10.3103/S0025654422080222 |
| Title |
Abnormal Transmission of Elastic Waves through a Thin Ligament Connecting Two Planar Isotropic Waveguides |
| Author(s) |
S.A. Nazarov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178 Russia, srgnazarov@yahoo.co.uk) |
| Abstract |
The asymptotics of the transmission and reflection coefficients for a longitudinal wave
incoming from infinity and scattering in a resonator, a thin ligament connecting two trunks of the
waveguide (homogeneous isotropic half-strips), is constructed. An unexpected effect was revealed by
selecting the size of the ligament (the wave almost completely transmits from one trunk to another at
any prescribed frequency from the first interval of the continuous spectrum). In the general situation,
the wave is almost completely reflected. Open questions are discussed. |
| Keywords |
isotropic two-dimensional waveguide with a thin ligament, longitudinal oscillations, elastic wave propagation anomaly, scattering coefficients, asymptotics |
| Received |
25 May 2022 | Revised |
15 August 2022 | Accepted |
15 August 2022 |
| Link to Fulltext |
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