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- Title
Phonon transmission through a nonlocal metamaterial slab.
- Authors
Chen, Yi; Wang, Ke; Kadic, Muamer; Guenneau, Sebastien; Wang, Changguo; Wegener, Martin
- Abstract
Previous theory and experiment has shown that introducing strong (nonlocal) beyond-nearest-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 one-dimensional 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. Here, the authors report phonon transmission through a nonlocal material slab embedded in a local material and perform an analysis based on a one-dimensional mass-and-spring model. Evidence of rich phonon behaviours, including sharp resonances related to bound-states-in-the-continuum, are found and reproduced by a developed higher-order-gradient effective medium theory for nonlocal materials.
- Subjects
PHONONS; METAMATERIALS; DISPERSION relations; BOUND states; THEORY of wave motion; TRANSMISSION of sound
- Publication
Communications Physics, 2023, Vol 6, Issue 1, p1
- ISSN
2399-3650
- Publication type
Article
- DOI
10.1038/s42005-023-01184-2