Absorption of sound by porous layers with embedded periodic arrays of resonant inclusions

Lagarrigue, Clément; Groby, Jean‐Philippe; Tournat, Vincent; Dazel, Olivier; Umnova, Olga

doi:10.1121/1.4824843

Cited by 143 publications

(61 citation statements)

References 16 publications

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“…It has been shown that performance of porous absorbers at low frequencies can be improved by embedding the resonant scatterers. 12,13 However, the absorption of these structures varies with the angle of incidence.…”

Section: Introductionmentioning

confidence: 99%

Omnidirectional acoustic absorber with a porous core and a metamaterial matching layer

Elliott

Venegas

Groby

et al. 2014

Journal of Applied Physics

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An omnidirectional sound absorber based on the acoustic analogy of the electromagnetic metamaterial “black hole” has been developed and tested. The resulting structure is composed of a hollow cylindrical porous absorbing core and a graded index matching layer which employs multiple rods of varying size and spacing to gradually adjust the impedance of the air to that of the porous absorbing core. A semi-analytical model is developed, and the practical challenges and their implications with respect to performance are considered. A full size device is built and tested in an anechoic chamber and the semi-analytical model used in the design process is validated. Finally, the theory is extended to allow for losses in the metamaterial matching layer, and it is shown that improved performance may be achieved with a dual purpose layer which acts as an absorber whilst also providing the required impedance matching condition.

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Section: Introductionmentioning

confidence: 99%

Omnidirectional acoustic absorber with a porous core and a metamaterial matching layer

Elliott

Venegas

Groby

et al. 2014

Journal of Applied Physics

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“…Boutin and B ecot 10,11 developed a similar expression for resonant material made of HRs embedded in a foam matrix with a three-dimensional (3D) periodicity using the homogenization method. In the case of cellular resonant material with a two-dimensional (2D) periodicity, Lagarrigue et al 12 and Groby et al 13 show that the sound absorption behavior of the material can be impacted by the orientation of a) Electronic mail: olivier.doutres@usherbrooke.ca the resonator aperture. Lagarrigue et al 12 proposed an interesting 2D semi-analytical model in the case of embedded slit rings in a large periodic foam unit cell for which the slit orientation relative to the rigid backing is taken into account.…”

Section: Haisam Osmanmentioning

confidence: 99%

“…[7][8][9][10][11] Most of these works mainly focused on the transmission properties of the resonant material and highlighted the large transmission dip at the HR resonance frequency. [7][8][9] Boutin and B ecot, 11 Lagarrigue et al, 12 and Groby et al 13 recently investigated the sound absorption efficiency of rigid backed acoustic foams with resonant split hollow cylinder or HR inclusions and showed that it is greatly improved for frequencies with a wavelength much larger than the material thickness.…”

Section: Haisam Osmanmentioning

confidence: 99%

Transfer matrix modeling and experimental validation of cellular porous material with resonant inclusions

Doutres

Atalla

Osman

2015

The Journal of the Acoustical Society of America

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Porous materials are widely used for improving sound absorption and sound transmission loss of vibrating structures. However, their efficiency is limited to medium and high frequencies of sound. A solution for improving their low frequency behavior while keeping an acceptable thickness is to embed resonant structures such as Helmholtz resonators (HRs). This work investigates the absorption and transmission acoustic performances of a cellular porous material with a two-dimensional periodic arrangement of HR inclusions. A low frequency model of a resonant periodic unit cell based on the parallel transfer matrix method is presented. The model is validated by comparison with impedance tube measurements and simulations based on both the finite element method and a homogenization based model. At the HR resonance frequency (i) the transmission loss is greatly improved and (ii) the sound absorption of the foam can be either decreased or improved depending on the HR tuning frequency and on the thickness and properties of the host foam. Finally, the diffuse field sound absorption and diffuse field sound transmission loss performance of a 2.6 m 2 resonant cellular material are measured. It is shown that the improvements observed at the Helmholtz resonant frequency on a single cell are confirmed at a larger scale.

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“…These specific materials are artificial structures composed of an arrangement of resonant unit cells-smaller than the characteristic wavelength-that present effective properties not observed in the materials that compose the structure. Examples of such absorbers are metaporous materials [6][7][8][9], metamaterials composed of membrane-type resonators [10][11][12][13], Helmholtz resonators (HRs) [13][14][15][16], and quarter-wavelength resonators (QWRs) [4,[17][18][19]. These last types of metamaterials [4,[15][16][17][18]] make use of strong dispersion, giving rise to slow-sound propagation inside the material.…”

Section: Introductionmentioning

confidence: 99%

Iridescent Perfect Absorption in Critically-Coupled Acoustic Metamaterials Using the Transfer Matrix Method

et al. 2017

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Abstract:The absorption performance of a locally-reacting acoustic metamaterial under oblique incidence is studied. The metamaterial is composed of a slotted panel, each slit being loaded by an array of Helmholtz resonators. The system is analytically studied using the transfer matrix method, accounting for the viscothermal losses both in the resonator elements and in the slits, allowing the representation of the reflection coefficient in the complex frequency plane. We show that by tuning the geometry of the metamaterial, perfect absorption peaks can be obtained on demand at selected frequencies and different angles of incidence. When tilting the incidence angle, the peaks of perfect absorption are shifted in frequency, producing an acoustic iridescence effect similar to the optic iridescence achieved by incomplete band gap. Effectively, we show that in this kind of locally-reacting metamaterial, perfect and omnidirectional absorption for a given frequency is impossible to achieve because the metamaterial impedance does not depend on the incidence angle (i.e., the impedance is a locally reacting one). The system is interpreted in the complex frequency plane by analysing the trajectories of the zeros of the reflection coefficient. We show that the trajectories of the zeros do not overlap under oblique incidence, preventing the observation of perfect and omnidirectional absorption in locally reacting metamaterials. Moreover, we show that for any locally resonant material, the absorption in diffuse field takes a maximal value of 0.951, which is achieved by a material showing perfect absorption for an incidence angle of 50.34 degrees.

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Absorption of sound by porous layers with embedded periodic arrays of resonant inclusions

Cited by 143 publications

References 16 publications

Omnidirectional acoustic absorber with a porous core and a metamaterial matching layer

Omnidirectional acoustic absorber with a porous core and a metamaterial matching layer

Transfer matrix modeling and experimental validation of cellular porous material with resonant inclusions

Iridescent Perfect Absorption in Critically-Coupled Acoustic Metamaterials Using the Transfer Matrix Method

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