Sound transmission through perforated plates with subwavelength hole arrays: A rigid-solid model

Estrada, Héctor; Candelas, Pilar; Rubio, Constanza; Belmar, Francisco; Meseguer, F.; Abajo, F. Javier García de

doi:10.1016/j.wavemoti.2010.10.008

Cited by 28 publications

(20 citation statements)

References 31 publications

(35 reference statements)

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“…We test the accuracy of our monopole analytical approach by comparing results for one and two perforated plates obtained with a complete full-mode expansion of the pressure field, available for square 48 and circular 39 holes. We are considering circular holes in the analytical approach, so we take the same hole areas in both calculations, as the actual hole shape is expected to play a minor role for small apertures.…”

Section: Accuracy Of the Monopole Modelmentioning

confidence: 99%

“…The vast range of phenomena associated with sound propagion has led to applications to acoustic focusing, 11,[25][26][27] waveguiding, 28 cloaking, [29][30][31][32][33] negative refraction, 11,34,35 resonant transmission through hole arrays, 9,[36][37][38][39][40] and enhanced absorption, 41 which are providing a major focus of attention. In particular, cloaking has been predicted for both elastic 29 and acoustic [30][31][32] waves, including acoustic carpets.…”

Section: Introductionmentioning

confidence: 99%

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Negative refraction and backward waves in layered acoustic metamaterials

Christensen

Abajo

2012

Phys. Rev. B

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We investigate layered acoustic metamaterials capable of exhibiting a wide variety of wave propagation phenomena, including backward and forward waves with and without negative refraction. The metamaterials are formed by periodically perforated hard plates, which we describe analytically in the limit of small holes compared to both the period and the separation between plates. In particular, we derive expressions for the index of refraction and the transmission and reflection coefficients of finite slabs. We provide illustrative examples of near fields for all four combinations of backward and forward waves with and without negative refraction, along with dispersion diagrams that explain the observed behavior. A comprehensive study of the range of geometrical parameters in which these distinct phenomena are observed is presented as well. These metamaterials hold great promise for achieving full control of sound using simple structures, with potential application to acoustic technologies relying on subwavelength control and imaging of sound.

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Section: Accuracy Of the Monopole Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Negative refraction and backward waves in layered acoustic metamaterials

Christensen

Abajo

2012

Phys. Rev. B

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“…In a slit array, the end correction takes on a more complicated form that also depends on diffractive effects associated with the periodicity Λ [10], which can lead to hybridization with the FP modes to form surface-wave modes. This has been studied extensively in recent years [1][2][3][4][5][11][12][13][14]; however, the modal-matching models often employed, such as the one developed by Christensen et al [3], do not take into account boundarylayer perturbation of the guided modes.…”

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confidence: 99%

Boundary-Layer Effects on Acoustic Transmission Through Narrow Slit Cavities

et al. 2015

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We explore the slit-width dependence of the resonant transmission of sound in air through both a slit array formed of aluminum slats and a single open-ended slit cavity in an aluminum plate. Our experimental results accord well with Lord Rayleigh's theory concerning how thin viscous and thermal boundary layers at a slit's walls affect the acoustic wave across the whole slit cavity. By measuring accurately the frequencies of the Fabry-Perot-like cavity resonances, we find a significant 5% reduction in the effective speed of sound through the slits when an individual viscous boundary layer occupies only 5% of the total slit width. Importantly, this effect is true for any airborne slit cavity, with the reduction being achieved despite the slit width being on a far larger scale than an individual boundary layer's thickness. This work demonstrates that the recent prevalent loss-free treatment of narrow slit cavities within acoustic metamaterials is unrealistic.

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“…By using the rigid-solid assumption, that is, there is no field inside the solid, the pressure field in the three regions can be written as follows [17,18]: …”

Section: Basic Theorymentioning

confidence: 99%