On-axis and far-field series expansions are developed for the sound pressure due to an arbitrary, circular symmetric velocity distribution on a flat radiator in an infinite baffle. These expansions are obtained by expanding the velocity distributions in terms of orthogonal polynomials with the Legendre polynomials. The terms give rise to a closed-form expression for the pressure on-axis as well as for the far-field pressure. Furthermore, for a large number of velocity profiles, including those associated with the rigid piston, the simply supported radiator, and the clamped radiators as well as Gaussian radiators, there are closed-form expressions for the required expansion coefficients. In particular, for the rigid, simply supported, and clamped radiators, this results in explicit finite-series expressions for both the on-axis and far-field pressures. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is proposed. Together with the forward far-field computation scheme, this yields a method for far-field loudspeaker assessment from on-axis data (generalized Keele scheme). The forward computation scheme is extended to dome-shaped radiators with arbitrary velocity distributions.
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March 2009
March 01 2009
On-axis and far-field sound radiation from resilient flat and dome-shaped radiators
Ronald M. Aarts;
Ronald M. Aarts
a)
Philips Research Europe
, HTC 36 (WO-02), NL-5656AE Eindhoven, The Netherlands
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Augustus J. E. M. Janssen
Augustus J. E. M. Janssen
b)
Philips Research Europe
, HTC 36 (WO-02), NL-5656AE Eindhoven, The Netherlands
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J. Acoust. Soc. Am. 125, 1444–1455 (2009)
Article history
Received:
July 25 2008
Accepted:
December 24 2008
Citation
Ronald M. Aarts, Augustus J. E. M. Janssen; On-axis and far-field sound radiation from resilient flat and dome-shaped radiators. J. Acoust. Soc. Am. 1 March 2009; 125 (3): 1444–1455. https://doi.org/10.1121/1.3075594
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