A general radiation model for sound fields and nearfield acoustical holography in wedge propagation spaces
A general radiation model for sound fields and nearfield acoustical holography in wedge propagation spaces
In this work an expression for the solution of the Helmholtz equation for wedge spaces is derived. Such propagation spaces represent scenarios for many acoustical problems where a free field assumption is not eligible. The proposed sound field model is derived from the general solution of the wave equation in cylindrical coordinates, using sets of orthonormal basis functions. The latter are modified to satisfy several boundary conditions representing the reflective behaviour of wedgeshaped propagation spaces. This formulation is then used in the context of nearfield acoustical holography (NAH) and to obtain the expression of the Neumann Green function. The model and its suitability for NAH is demonstrated through both numerical simulations and measured data, where the latter was acquired for the specific case of a loudspeaker on a hemi-cylindrical rigid baffle.
Wedges Spaces, Holography, Boundary Conditions, Neumann Green Function
1249-1260
Hoffmann, Falk-Martin
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Fazi, Filippo Maria
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Williams, Earl G.
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Fontana, Simone
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6 September 2017
Hoffmann, Falk-Martin
b5b5b465-9ff4-4eb5-845e-c36c6d1c9b97
Fazi, Filippo Maria
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Williams, Earl G.
d59ff6ce-7bf2-4a9c-aa5d-ae00850b2e1c
Fontana, Simone
c194e2f4-0677-4189-bb7b-f0b171a89f6a
Hoffmann, Falk-Martin, Fazi, Filippo Maria, Williams, Earl G. and Fontana, Simone
(2017)
A general radiation model for sound fields and nearfield acoustical holography in wedge propagation spaces.
Journal of the Acoustical Society of America, 142 (3), .
(doi:10.1121/1.4998573).
Abstract
In this work an expression for the solution of the Helmholtz equation for wedge spaces is derived. Such propagation spaces represent scenarios for many acoustical problems where a free field assumption is not eligible. The proposed sound field model is derived from the general solution of the wave equation in cylindrical coordinates, using sets of orthonormal basis functions. The latter are modified to satisfy several boundary conditions representing the reflective behaviour of wedgeshaped propagation spaces. This formulation is then used in the context of nearfield acoustical holography (NAH) and to obtain the expression of the Neumann Green function. The model and its suitability for NAH is demonstrated through both numerical simulations and measured data, where the latter was acquired for the specific case of a loudspeaker on a hemi-cylindrical rigid baffle.
Text
Hoffmann, Fazi, Williams, Fontana (2017) - A general radiation model for sound fields and nearfield acoustical holography in wedge propagation spaces
- Author's Original
Text
Hoffmann, Fazi, Williams, Fontana (2017) - A general radiation model for sound fields and nearfield acoustical holography in wedge propagation spaces
- Version of Record
More information
Accepted/In Press date: 26 July 2017
e-pub ahead of print date: 6 September 2017
Published date: 6 September 2017
Keywords:
Wedges Spaces, Holography, Boundary Conditions, Neumann Green Function
Identifiers
Local EPrints ID: 414150
URI: http://eprints.soton.ac.uk/id/eprint/414150
ISSN: 0001-4966
PURE UUID: 335dc80b-a8d8-4a51-9727-2fbc5fa2e10c
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Date deposited: 15 Sep 2017 16:30
Last modified: 16 Mar 2024 05:43
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Contributors
Author:
Falk-Martin Hoffmann
Author:
Earl G. Williams
Author:
Simone Fontana
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