A theoretical study of sound field reproduction with a planar array of loudspeakers
A theoretical study of sound field reproduction with a planar array of loudspeakers
The problem of reproducing a desired sound field with a planar array of loudspeakers is addressed. The array is modelled by a continuous distribution of monopole-like secondary sources arranged on an infinite plane and the reproduced field is represented by a single layer potential. The target field is defined on a plane parallel to the secondary source layer. An expression for the solution is derived and this can be regarded as a linear superposition of propagating and evanescent plane waves. It is shown that the contribution of the evanescent waves does not represent the evanescent component of the desired field and is not limited to the near-field of the array. For this reason this component of the field is called pseudo-evanescent. The case of the so called focussed sources is analyzed. It is shown that an exact solution of this problem does not exist, but an approximate solution can be computed using regularization techniques (for example by avoiding an exact reproduction of the pseudo-evanescent component of the target field). The time-reversal technique, widely used by Wave Field Synthesis systems for the reproduction of focussed sources, is also studied.
Fazi, Filippo M.
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
15 November 2010
Fazi, Filippo M.
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Fazi, Filippo M. and Nelson, Philip A.
(2010)
A theoretical study of sound field reproduction with a planar array of loudspeakers.
2nd PanAmerican/Iberian Meeting on Acoustics, Cancún, Mexico.
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Abstract
The problem of reproducing a desired sound field with a planar array of loudspeakers is addressed. The array is modelled by a continuous distribution of monopole-like secondary sources arranged on an infinite plane and the reproduced field is represented by a single layer potential. The target field is defined on a plane parallel to the secondary source layer. An expression for the solution is derived and this can be regarded as a linear superposition of propagating and evanescent plane waves. It is shown that the contribution of the evanescent waves does not represent the evanescent component of the desired field and is not limited to the near-field of the array. For this reason this component of the field is called pseudo-evanescent. The case of the so called focussed sources is analyzed. It is shown that an exact solution of this problem does not exist, but an approximate solution can be computed using regularization techniques (for example by avoiding an exact reproduction of the pseudo-evanescent component of the target field). The time-reversal technique, widely used by Wave Field Synthesis systems for the reproduction of focussed sources, is also studied.
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e-pub ahead of print date: 15 November 2010
Published date: 15 November 2010
Venue - Dates:
2nd PanAmerican/Iberian Meeting on Acoustics, Cancún, Mexico, 2010-11-15
Organisations:
Acoustics Group
Identifiers
Local EPrints ID: 339945
URI: http://eprints.soton.ac.uk/id/eprint/339945
PURE UUID: 5445fb93-d419-4cdb-9eb9-8607460951c2
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Date deposited: 06 Jun 2012 09:44
Last modified: 02 Sep 2023 01:41
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