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Article Dans Une Revue Communications Physics Année : 2023

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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Dates et versions

hal-04233191 , version 1 (09-10-2023)

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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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