The Three-Dimensional Phononic Crystals

Assouar, Badreddine; Sainidou, R.; Psarobas, I. E.

doi:10.1007/978-1-4614-9393-8_3

Cited by 3 publications

(3 citation statements)

References 67 publications

(132 reference statements)

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“…Two key quantities are necessary in this rigorous, exact description: the transition, T-matrix, describing the scattering of an elastic wave by a single specific object, and the free propagator matrix, Ω, describing the propagation of an elastic wave from one point of the host medium to an other. For a more qualitative description of the method, the reader can refer to, e.g., References [26,27], while the full quantitative, detailed and complete description can be found in [21,22].…”

Section: Methods Of Calculationmentioning

confidence: 99%

Magnetic-Sphere-Based Phononic Crystals

Leduc¹,

Morvan²,

Tinel³

et al. 2016

Crystals

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Periodic arrays in one, two, and three dimensions, made of magnetic spheres embedded in a fluid matrix, are considered in this study and utilized as phononic structures. The propagation of acoustic waves through these structures is analyzed experimentally, in low-and high-frequency region, via laser vibrometry, as well as standard underwater acoustic measurements. A first comparison to theoretical calculations obtained through multiple-scattering techniques and multipole models reveals a distinct behavior depending on the immersion fluid and/or frequency regime. Our results show that the elastodynamic response of these systems can be, under conditions, simply described by classical elastic theory without taking directly (ab initio) into account the magnetic character of the spherical particles. The structures considered above could offer several possibilities including facility of construction and use in filtering applications, but they are also of interest from a theoretical point of view, as a means to investigate the validity of several approximate theoretical descriptions.

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Section: Methods Of Calculationmentioning

confidence: 99%

Magnetic-Sphere-Based Phononic Crystals

Leduc¹,

Morvan²,

Tinel³

et al. 2016

Crystals

Self Cite

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“…Firstly, we have constructed slabs consisting of stainless steel spheres placed in a paraffin matrix at specific crystallographic lattice arrangements. Optimization of phononic structures requires a significant difference in the values of acoustic impedance between the filler and the matrix [4]. Stainless steel was chosen as the material for the inclusions due to its high density which enables high speeds of longitudinal waves hence endowing high acoustic resistance.…”

Section: Fabrication Of Phononic Crystalsmentioning

confidence: 99%

“…Advanced materials with such properties aim to control the propagation of elastic waves (vibrations) in various technologically exploitable ways. Elastic wave transport in PnCs has attracted an extraordinary amount of attention over the last decades [4], in fields ranging from frequency gap formation in 3D structures [5], observation of Dirac cones in graphene-like PnCs [6], Anderson localization of classical waves [7], Zak phase determination in periodic acoustic systems [8] to the study of structures of more exotic geometry [9,10], negative modulus acoustic metamaterials [11][12][13], acoustically trapped colloidal crystals [14], and even harvesting vibrations via PnC isolator modules [15].…”

Section: Introductionmentioning

confidence: 99%

Elastodynamic response of three-dimensional phononic crystals using laser Doppler vibrometry

Tragazikis

Exarchos

Dalla³

et al. 2019

J. Phys. D: Appl. Phys.

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The elastodynamic response of finite 3D phononic structures is analyzed by means of comparing experimental findings obtained through a laser Doppler vibrometry-based methodology and theoretical computations performed with the Layer-Multiple-Scattering method. The recorded frequency-gap spectrum of the phononic slabs exhibited a good agreement of theory to experiment. Along these lines, a newly developed technique, based on laser doppler vibrometry, has been proposed and validated for the dispersion efficiency in 3D phononic metamaterials. arXiv:1903.01616v1 [cond-mat.mtrl-sci]

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Broad omnidirectional acoustic band gaps in a three-dimensional phononic crystal composed of face-centered cubic Helmholtz resonator network

Bi̇çer

Körözlü

Kaya

et al. 2021

The Journal of the Acoustical Society of America

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Broad omnidirectional band gaps in a three-dimensional phononic crystal consisting of a face-centered cubic array of spherical air voids connected by cylindrical conduits in solid background are numerically and experimentally demonstrated. With a low material filling fraction of 37.7%, the first bandgap covers 3.1–13.6 kHz frequency range with 126.1% gap-over-midgap ratio. Finite-element method is employed in band structure and numerical transmission analyses. Omnidirectional band gaps are observed in only two-period thick slabs in the 100, 110, and 111 orientations. Experimental transmission characteristics are in good agreement with numerical data. The phononic crystal can be employed in low-frequency sound proofing.

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The Three-Dimensional Phononic Crystals

Cited by 3 publications

References 67 publications

Magnetic-Sphere-Based Phononic Crystals

Magnetic-Sphere-Based Phononic Crystals

Elastodynamic response of three-dimensional phononic crystals using laser Doppler vibrometry

Broad omnidirectional acoustic band gaps in a three-dimensional phononic crystal composed of face-centered cubic Helmholtz resonator network

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