Phonon transmission through a nonlocal metamaterial slab
Résumé
Previous theory and experiment has shown that introducing strong
(nonlocal) beyondnearest-neighbor interactions in addition to
(local) nearest-neighbor interactions into rationally designed
periodic lattices called metamaterials can lead to unusual wave
dispersion relations of the lowest band. For roton-like
dispersions, this especially includes the possibility of multiple
solutions for the wavenumber at a given frequency. Here, we study
the onedimensional frequency-dependent acoustical phonon
transmission of a slab of such nonlocal metamaterial in a local
surrounding. In addition to the usual Fabry-Perot resonances, we
find a series of bound states in the continuum. In their vicinity,
sharp Fano-type transmission resonances occur, with sharp
zero-transmission minima next to sharp transmission maxima. Our
theoretical discussion starts with a discrete mass-and-spring
model. We compare these results with solutions of a generalized
wave equation for heterogeneous nonlocal effective media. We
validate our findings by numerical calculations on
three-dimensional metamaterial microstructures for one-dimensional
acoustical wave propagation.
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Soumis le : lundi 9 octobre 2023-13:27:47
Dernière modification le : mardi 18 juin 2024-14:20:04
Citer
Yi Chen, Ke Wang, Muamer Kadic, Sébastien Guenneau, Changguo Wang, et al.. Phonon transmission through a nonlocal metamaterial slab. Communications Physics, 2023, 6 (1), pp.75 (11). ⟨10.1038/s42005-023-01184-2⟩. ⟨hal-04233191⟩
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