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Condensed Matter > Materials Science

arXiv:1604.01321 (cond-mat)
[Submitted on 5 Apr 2016 (v1), last revised 26 Jul 2016 (this version, v2)]

Title:Negative reflection of Lamb waves at a free edge: tunable focusing and mimicking phase conjugation

Authors:Benoît Gérardin, Jérôme Laurent, Claire Prada, Alexandre Aubry
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Abstract:The paper studies the interaction of Lamb waves with the free edge of a plate. The reflection coefficients of a Lamb mode at a plate free edge are calculated using a semi-analytical method, as a function of frequency and angle of incidence. The conversion between forward and backward Lamb modes is thoroughly investigated. It is shown that, at the zero-group velocity (ZGV) frequency, the forward $S_1$ Lamb mode fully converts into the backward $S_{2b}$ Lamb mode at normal incidence. Besides, this conversion is very efficient over most of the angular spectrum and remains dominant at frequencies just above the ZGV-point. This effect is observed experimentally on a Duralumin plate. Firstly, the $S_1$ Lamb mode is selectively generated using a transducer array, secondly the $S_{2b}$ mode is excited using a single circular transducer. The normal displacement field is probed with an interferometer. The free edge is shown to retro-focus the incident wave at different depths depending on the wave number mismatch between the forward and backward propagating modes. In the vicinity of the ZGV-point, wave numbers coincide and the wave is retro-reflected on the source. In this frequency range, the free edge acts as a perfect phase conjugating mirror.
Comments: 12 pages, 10 figures
Subjects: Materials Science (cond-mat.mtrl-sci); Optics (physics.optics)
Cite as: arXiv:1604.01321 [cond-mat.mtrl-sci]
  (or arXiv:1604.01321v2 [cond-mat.mtrl-sci] for this version)
  https://doi.org/10.48550/arXiv.1604.01321
Journal reference: J. Acoust. Soc. Am. 140, 591 (2016)
Related DOI: https://doi.org/10.1121/1.4959024

Submission history

From: Benoît Gérardin [view email]
[v1] Tue, 5 Apr 2016 16:32:20 UTC (1,589 KB)
[v2] Tue, 26 Jul 2016 15:40:58 UTC (1,615 KB)
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