A spherical expansion for audio sounds generated by a circular parametric array loudspeaker.

Zhong, J; Kirby, R; Qiu, X

A spherical expansion for audio sounds generated by a circular parametric array loudspeaker.

Zhong, J

Kirby, R

Qiu, X

Permalink

Publisher:: ACOUSTICAL SOC AMER AMER INST PHYSICS
Publication Type:: Journal Article
Citation:: The Journal of the Acoustical Society of America, 2020, 147, (5), pp. 3502
Issue Date:: 2020-05

Closed Access

	Filename	Description	Size
	10.0001261.pdf	Published version	1.44 MB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Zhong, J https://orcid.org/0000-0002-9972-8004
dc.contributor.author	Kirby, R https://orcid.org/0000-0002-3520-1377
dc.contributor.author	Qiu, X https://orcid.org/0000-0002-5181-1220
dc.date.accessioned	2020-10-21T21:54:50Z
dc.date.available	2020-10-21T21:54:50Z
dc.date.issued	2020-05
dc.identifier.citation	The Journal of the Acoustical Society of America, 2020, 147, (5), pp. 3502
dc.identifier.issn	0001-4966
dc.identifier.issn	1520-8524
dc.identifier.uri	http://hdl.handle.net/10453/143451
dc.description.abstract	The existing non-paraxial expression of audio sounds generated by a parametric array loudspeaker (pal) is hard to calculate due to the fivefold integral in it. A rigorous solution of the Westervelt equation under the quasilinear approximation is developed in this paper for circular PALs by using the spherical harmonics expansion, which simplifies the expression into a series of threefold summations with uncoupled angular and radial components. The angular component is determined by Legendre polynomials and the radial one is an integral involving spherical Bessel functions, which converge rapidly. Compared to the direct integration over the whole space, the spherical expansion is rigorous, exact, and can be calculated efficiently. The simulations show the proposed expression can obtain the same accurate results with a speed of at least 15 times faster than the existing one.
dc.format	Print
dc.language	eng
dc.publisher	ACOUSTICAL SOC AMER AMER INST PHYSICS
dc.relation	http://purl.org/au-research/grants/arc/LP160100616
dc.relation.ispartof	The Journal of the Acoustical Society of America
dc.relation.isbasedon	10.1121/10.0001261
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Acoustics
dc.title	A spherical expansion for audio sounds generated by a circular parametric array loudspeaker.
dc.type	Journal Article
utslib.citation.volume	147
utslib.location.activity	United States
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2020-10-21T21:54:30Z
pubs.issue	5
pubs.publication-status	Published
pubs.volume	147
utslib.citation.issue	5

Abstract:

The existing non-paraxial expression of audio sounds generated by a parametric array loudspeaker (pal) is hard to calculate due to the fivefold integral in it. A rigorous solution of the Westervelt equation under the quasilinear approximation is developed in this paper for circular PALs by using the spherical harmonics expansion, which simplifies the expression into a series of threefold summations with uncoupled angular and radial components. The angular component is determined by Legendre polynomials and the radial one is an integral involving spherical Bessel functions, which converge rapidly. Compared to the direct integration over the whole space, the spherical expansion is rigorous, exact, and can be calculated efficiently. The simulations show the proposed expression can obtain the same accurate results with a speed of at least 15 times faster than the existing one.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/143451