Surface acoustic waves in finite slabs of three-dimensional phononic crystals

Sainidou, R.; Djafari‐Rouhani, Bahram; Vasseur, J. O.

doi:10.1103/physrevb.77.094304

Cited by 56 publications

(28 citation statements)

References 29 publications

(39 reference statements)

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“…A careful examination of Fig. 6 shows that the evanescent waves are guided along the interface, similarly to the "surface-localized modes" observed both in the low frequency region of the Brillouin zone or within the band gaps [56][57][58]. However, after a few cycles their amplitude decays to a very low level.…”

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confidence: 56%

Focusing of the lowest-order antisymmetric Lamb mode behind a gradient-index acoustic metalens with local resonators

2016

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confidence: 56%

Focusing of the lowest-order antisymmetric Lamb mode behind a gradient-index acoustic metalens with local resonators

2016

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“…The possibility of an absolute gap in the band structure of surface waves was also demonstrated [62,59]. Other works studied the surface waves of a 2D crystal cut parallel to the cylinders [63] or of a 3D crystal composed of spheres in a matrix [64]. Phononic crystals of finite thickness, such as a periodic array of holes in a plate or a periodic array of pillars on a membrane, started to be studied during the last decade.…”

Section: Concluding Remarks and Further Developments In The Field Of mentioning

confidence: 98%

Fundamental Properties of Phononic Crystal

Pennec

Djafari‐Rouhani

2016

Phononic Crystals

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The control and manipulation of acoustic/elastic waves is a fundamental problem with many potential applications, especially in the field of information and communication technologies. For instance, confinement, guiding, and filtering phenomena at the scale of the wavelength are useful for signal processing, advanced nanoscale sensors, and acousto-optic on-chip devices; acoustic metamaterials, working in particular in the sub-wavelength regime can be used for efficient and broadband sound isolation as well as for imaging and super-resolution.Phononic crystals, which are artificial materials constituted by a periodic repetition of inclusions in a matrix, are proposed to achieve these objectives via the possibility of engineering their band structures. The elastic properties, shape, and arrangement of the scatterers modify strongly the propagation of the acoustic/elastic waves in the structure. The phononic band structure and dispersion curves can then be tailored with appropriate choices of materials, crystal lattices, and topology of inclusions.Similarly to any periodic structure, the propagation of acoustic waves in a phononic crystal is governed by the Bloch [1] or Floquet theorem from which one can derive the band structure in the corresponding Brillouin zone. The periodicity of the structures, that defines the Brillouin zone, may be in one (1D), two (2D), or three dimensions (3D). The propagation of acoustic waves in layered periodic materials or superlattices which are now being considered as 1D phononic crystals has been extensively studied [2] since the early paper of Rytov [3]. However, the

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“…When the impurity plane moves away from the middle plane, the transmission coefficient at the resonance frequency becomes less than unity and the resonance disappears altogether when the impurity plane is removed to the surface of the slab, as demonstrated in Fig. 3.10d-f. Further detailed analysis for phononic-crystal slabs with surface-located impurity planes can be found in [50].…”

Section: Planar Defectsmentioning

confidence: 99%