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Sound field reproduction as an equivalent acoustical scattering problem

Fazi, Filippo Maria and Nelson, Philip A. (2013) Sound field reproduction as an equivalent acoustical scattering problem Journal of the Acoustical Society of America, 134, (5), pp. 3721-3729. (doi:10.1121/1.4824343).

Record type: Article


Given a continuous distribution of acoustic sources, the determination of the source strength that ensures the synthesis of a desired sound field is shown to be identical to the solution of an equivalent acoustic scattering problem. The paper begins with the presentation of the general theory that under-pins sound field reproduction with secondary sources continuously arranged on the boundary of the reproduction region. The process of reproduction by a continuous source distribution is modeled by means of an integral operator (the single layer potential). It is then shown how the solution of the sound reproduction problem corresponds to that of an equivalent scattering problem. Analytical solutions are computed for two specific instances of this problem, involving, respectively, the use of a secondary source distribution in spherical and planar geometries. The results are shown to be the same as those obtained with analyses based on High Order Ambisonics and Wave Field Synthesis, respectively, thus bringing to light a fundamental analogy between these two methods of sound reproduction. Finally, it is shown how the physical optics (Kirchhoff) approximation enables the derivation of a high-frequency simplification for the problem under consideration, this in turn being related to the secondary source selection criterion reported in the literature on Wave Field Synthesis.

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Published date: 2013
Organisations: Inst. Sound & Vibration Research


Local EPrints ID: 359103
ISSN: 0001-4966
PURE UUID: 9a9cce42-897a-4710-b2ef-7bf0c5d084d9

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Date deposited: 25 Oct 2013 16:15
Last modified: 18 Jul 2017 03:23

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