Efficient computation of the sound fields above a layered porous ground

Liu, Sheng; Li, Kai Ming

doi:10.1121/1.4714763

Cited by 6 publications

(4 citation statements)

References 25 publications

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“…(15b)] is customarily used instead of W P in the final asymptotic solution for the sound fields given in Eq. (17) Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use.…”

Section: Appendixmentioning

confidence: 99%

“…By using Eq. (17) to calculate the sound fields at the receiver and image receiver locations, it is possible to calculate the total field within the hard-backed rigid porous medium as…”

Section: Theorymentioning

confidence: 99%

“…[11][12][13] Allard and his co-workers [11][12][13][14][15] conducted a series of studies exploring the propagation of sound above a hardbacked porous layer. More recently, Li and Liu 16,17 developed accurate asymptotic formulas for predicting the sound fields above a hard-backed or impedance-backed porous layer. They showed that the proposed formulas are numerically more efficient than other exact wave-based computational schemes, especially at long ranges and at high source frequencies.…”

Section: Introductionmentioning

confidence: 99%

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Sound penetration into a hard-backed rigid porous layer: Theory and experiments

Tao¹,

Tong²,

Li³

2014

The Journal of the Acoustical Society of America

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This study examines the sound field within a hard-backed rigid porous medium due to an airborne source. The total sound field can be approximated by two terms: A transmitted wave component arriving at the receiver directly through the porous interface, and a second transmitted wave component reflected from the rigid backing plane before reaching the receiver. These two components can be expressed in an integral form that is amenable to further analyses. A standard saddle path method is applied to evaluate the integral analytically, leading to a uniform asymptotic solution that allows the prediction of the sound field within the rigid porous medium. The validity of the asymptotic formula is verified by comparison with the numerical results computed by a more accurate wave-based numerical scheme. The asymptotic solution is shown to provide a convenient means of rapid and accurate computations of sound field within the rigid porous medium. The accuracy of the numerical solutions is further confirmed by comparison with indoor experimental results. The measurement data and theoretical predictions suggest that when the receiver is located near the bottom of the hard-backed layer, the reflection of the refracted wave gives rise to a significant contribution to the total sound field.

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Section: Appendixmentioning

confidence: 99%

“…By using Eq. (17) to calculate the sound fields at the receiver and image receiver locations, it is possible to calculate the total field within the hard-backed rigid porous medium as…”

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sound penetration into a hard-backed rigid porous layer: Theory and experiments

Tao¹,

Tong²,

Li³

2014

The Journal of the Acoustical Society of America

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“…In addition, plane-or spherical wave incidence, and a local-or extended reaction surface is assumed. For overviews of acoustic field models the reader is referred to two recent works, by Liu and Li [11] and Li and Liu [12].…”

Section: Introductionmentioning

confidence: 99%

Measuring oblique incidence sound absorption using a local plane wave assumption

Kuipers¹,

Wijnant²,

Boer³

2014

Acta Acustica united with Acustica

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SummaryIn this paper a method for the measurement of the oblique incidence sound absorption coefficient is presented. It is based on a local field assumption, in which the acoustic field is locally approximated by one incident-and one specularly reflected plane wave. The amplitudes of these waves can be determined with an unidirectional sound intensity probe. The local active-and incident acoustic intensity are straightforwardly obtained. The area-averaged sound absorption coefficient is calculated after spatial integration of these quantities over the surface area of interest. Alternatively, one may use a three-dimensional intensity probe. In that case, the determination of the amplitudes of the plane waves can be formulated as a least-squares problem. Measurements performed for a sound absorbing foam demonstrate that accurate results can be obtained, even under non-ideal acoustic conditions. Measurements carried out for a periodic absorber show that the method is accurate below the cuton frequency of scattering as long as the amplitude of the evanescent surface waves is significantly smaller than that of the specularly reflected wave. PACS no. 43.20El, 43.55Ev, 43.55Dt

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Considerations on the sound absorption of non locally reacting porous layers

Dragonetti

Romano

2015

Applied Acoustics

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Efficient computation of the sound fields above a layered porous ground

Cited by 6 publications

References 25 publications

Sound penetration into a hard-backed rigid porous layer: Theory and experiments

Sound penetration into a hard-backed rigid porous layer: Theory and experiments

Measuring oblique incidence sound absorption using a local plane wave assumption

Considerations on the sound absorption of non locally reacting porous layers

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