The Diffraction of Sound by Circular Disks and Apertures

Spence, R. D.

doi:10.1121/1.1906389

Cited by 49 publications

(18 citation statements)

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“…The acoustic transmission approaches a constant, 8 / 2 , whereas the EM transmission goes to zero, with decreasing the ratio d / ͑hole diameter/wavelength͒. 19,20 Transmission/diffraction by an acoustical grating is an old problem, and the previous investigations addressed some cases: one-dimensional periodic slits in a rigid screen, 21 a single hole in a thick wall, 22 and a one-dimensional grating composed of parallel steel rods with finite grating thickness. 23 Here we measured the acoustic transmissions through a two-dimensional array ͑square lattice͒ of subwavelength hole fabricated on either thin or thick brass plates at normal and oblique incidence.…”

Section: Experimental Determination For Resonance-induced Transmissiomentioning

confidence: 99%

Experimental determination for resonance-induced transmission of acoustic waves through subwavelength hole arrays

Hou

Mei

et al. 2008

Journal of Applied Physics

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We measured acoustic transmissions through subwavelength hole arrays fabricated on brass plates at normal and oblique incidence. It is found experimentally that the transmission phenomena for the hole array in thin plate case are analogous to the previously observed enhanced transmission of electromagnetic waves [Ebbesen et al., Nature (London) 391, 667 (1998)]. While for the hole array in thick plate case, the transmission peaks of acoustic wave occur well below Wood’s anomalies, and the spectrum characteristics reveal a Fabry–Pérot-like resonance. An effective fluid approach is conceived and it can well describe the transmission properties of the hole array in thick plates within a range of incidence angle.

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Section: Experimental Determination For Resonance-induced Transmissiomentioning

confidence: 99%

Experimental determination for resonance-induced transmission of acoustic waves through subwavelength hole arrays

Hou

Mei

et al. 2008

Journal of Applied Physics

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“…For more sophisticated low-frequency asymptotics for the case of the rigid circular disk we consult Spence's classical paper from 1948 [19]. This asymptotic result, which is valid as |ka| 1, gives the far-field pattern of the scattering in the case of a normally incident planewave as,…”

Section: Low Frequenciesmentioning

confidence: 99%

“…This is one of the canonical cases for which reference solutions are available. Explicit expressions are available for the low-frequency asympotic solution [19,3,13], as well as explicit timedomain expressions derived for first-and second-order diffraction [24]. In §4 comparisons are made between this new method and the reference solutions for the disk.…”

Section: A Special Case: Axisymmetric Scatteringmentioning

confidence: 99%

An integral equation formulation for the diffraction from convex plates and polyhedra

Asheim

Svensson

2013

The Journal of the Acoustical Society of America

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A new formulation of the problem of scattering from obstacles with edges is presented. The formulation is based on decomposing the field into geometrical optics and edge diffraction components, as opposed to the usual incident and scattered wavefields used for BEM and FEM methods. A secondary-source model is available for edgediffraction, which is extended to handle multiple diffraction of all orders. We show that the diffraction component can be represented by the solution of an integral equation formulated on pairs of edge points, so that the total field can be evaluated as as sum of geometrical optics and this diffraction component. Numerical experiments demonstrates the validity of the approach for wavenumbers down to 0.Keywords : Scattering, diffraction, integral equations, convex plates, convex polyhedra MSC : Primary : 65R20, Secondary : 45B05, 78A05, 78A45. An integral equation formulation for the diffraction from convex plates and polyhedraAndreas Asheim * U. Peter Svensson † March 5, 2012Abstract A new formulation of the problem of scattering from obstacles with edges is presented. The formulation is based on decomposing the field into geometrical optics and edge diffraction components, as opposed to the usual incident and scattered wavefields used for BEM and FEM methods. A secondary-source model is available for edge-diffraction, which is extended to handle multiple diffraction of all orders. We show that the diffraction component can be represented by the solution of an integral equation formulated on pairs of edge points, so that the total field can be evaluated as as sum of geometrical optics and this diffraction component. Numerical experiments demonstrates the validity of the approach for wavenumbers down to 0.

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“…Consequently, a subwavelength hole has no cutoff for acoustic wave, but does for EM wave, which underlies the distinct transmissions of acoustic/EM waves through a hole in an ideally rigid/conducting screen. The acoustic transmission of a single hole approaches a constant, 8/ 2 , dislike the EM case, with decreasing the ratio r/ [30].…”

Section: Introductionmentioning

confidence: 93%

Enhanced Transmission of Acoustic Waves Through Subwavelength Holes in Hard Plates

Hou¹,

Wen²

2013

Modeling and Measurement Methods for Acoustic Waves and for Acoustic Microdevices

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The Diffraction of Sound by Circular Disks and Apertures

Abstract: A rigorous theory of the diffraction of plane sound waves by circular disks and apertures is developed by use of oblate spheroidal coordinates. Numerical results for the cross section for scattering and transmission are given in graphical form.

Cited by 49 publications

References 0 publications

Experimental determination for resonance-induced transmission of acoustic waves through subwavelength hole arrays

Experimental determination for resonance-induced transmission of acoustic waves through subwavelength hole arrays

An integral equation formulation for the diffraction from convex plates and polyhedra

Enhanced Transmission of Acoustic Waves Through Subwavelength Holes in Hard Plates

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