Influence of the hole filling fraction on the ultrasonic transmission through plates with subwavelength aperture arrays

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

doi:10.1063/1.2955825

Cited by 32 publications

(27 citation statements)

References 19 publications

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“…Resonant frequency uncertainties at the smallest gaps are increased due to broadening of the modes, as well as a reduction in the signal-to-noise ratio. For the array, the largest gap resonances were also significantly broader, due to a reduction in the quality factor caused by decreasing the rigid-body filling fraction w=d [12].…”

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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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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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Boundary-Layer Effects on Acoustic Transmission Through Narrow Slit Cavities

et al. 2015

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“…3(c)). Although Fabry-Perot hole resonances, which are mainly governed by the plate thickness, have a major effect in the appearance of full transmission peaks, the hole size and the period can shift considerably the peak position [17]. The transmission of the compound array is depicted in Figs.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Estrada et al [16] reported that periodically perforated aluminium plates immersed in water can achieve lower ultrasonic transmission values than homogeneous plates. The influence of the filling fraction of holes and the lattice geometry in the transmission properties has also been studied [17,18]. It has been also demonstrated [19] that the complex interplay between Fabry-Perot resonances inside the holes, lattice resonances in periodic arrays, and elastic Lamb modes governs the transmission properties of perforated plates.…”

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A comprehensive discrete-time computer modeling of acoustic Transmission Line loudspeakers

2011

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“…[10][11][12][13] To further clarify how the cavity resonances modify the radiation characteristics of the piston, Fig. 3 2012) the important contribution of the array period to the 10 fold enhancement in v z at the high frequency peak.…”

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Acoustic radiation efficiency of a periodically corrugated rigid piston

Estrada

Rubio

Meseguer

2012

Applied Physics Letters

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The radiation of sound by a periodically corrugated rigid piston is explored using theoretical and numerical approaches and compared with the radiation of flat rigid piston. The depth and the period of the corrugation are considered to be comparable with the wavelength in the surrounding fluid. Radiation enhancement is predicted due to cavity resonances and coherent diffraction. In addition, broad regions of low radiation efficiency are observed. Both effects could have an impact in acoustic transducers technology, either to increase the piston radiated power or to create a source of evanescent acoustic waves. The possibilities offered by this strategy in the nonlinear acoustic regime are also briefly discussed. V C 2012 American Institute of Physics.[http://dx.doi.org/10.1063/1.4748868]The radiation of acoustic waves is used in a wide range of different applications ranging from biomedical ones to non-destructive testing. In any of these systems, the transducer is a crucial element. The performance of such a system is often limited by the transducer acoustic radiation properties. In addition, the behavior of an acoustic transducer is influenced by many factors, being its mechanical construction the most direct one. 1 Nowadays, the piston radiator is maybe the most important radiation source in ultrasonics and its radiation properties constitute a classical-physics problem. However, besides the great advancement in transducer arrays and beam steering, 2,3 piezo-composite materials, 4 capacitive micromachined transducers, 5 and matching layers, 6 very little has been done concerning the radiating surface of the transducer.On the other hand, recent advances in the study of periodically corrugated surfaces and perforated plates, mainly motivated from interesting results from optics, have shown exotic properties that could be used for modifying the propagation of elasto-acoustic waves. Most of these studies concentrate on the transmission and reflection properties of perforated/corrugated plates, as a direct translation of systems being studied in optics. 7 Resonant corrugated panels have been also considered for sound insulation purposes. 8 However, no study has been done considering how a corrugated surface will affect the radiation of acoustic waves in a transducer, despite its technological relevance.In this letter, we present a theoretical and numerical study on the effect of a rigid periodically corrugated surface in the radiation of acoustic waves compared with the classical rigid piston. The depth and the period of the corrugation have the same order of magnitude than the wavelength in the fluid. Coherent diffraction and cavity resonances give rise to both radiation enhancement and radiation inhibition depending on the geometrical properties of the corrugation.Given a fluid of density q and sound speed c, we consider a perfectly rigid surface vibrating at a frequency x with velocity v 0 as depicted in Figs. 1(a) and 1(b). Solving the two-dimensional problem by means of the finite element method (Comsol Multi...

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Influence of the hole filling fraction on the ultrasonic transmission through plates with subwavelength aperture arrays

Cited by 32 publications

References 19 publications

Boundary-Layer Effects on Acoustic Transmission Through Narrow Slit Cavities

Boundary-Layer Effects on Acoustic Transmission Through Narrow Slit Cavities

A comprehensive discrete-time computer modeling of acoustic Transmission Line loudspeakers

Acoustic radiation efficiency of a periodically corrugated rigid piston

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