TY - CONF
T1 - Convolution model for the far-field directivity of curved parametric loudspeaker arrays
AU - Guasch, Oriol
AU - Sánchez-Martín, Patricia
AU - Arnela, Marc
N1 - Funding Information:
This work has been supported by the BUILT2SPEC project, which has received funding from the European Union’s Horizon 2020 Research and Innovation Program under Grant Agreement no. 637221. The authors also acknowledge the support from the Secretaria d'Universitats i Recerca del Departament d'Economia i Coneixement (Generalitat de Catalunya) under grant 2014-SGR-0590. Moreover, the first and third authors are respectively grateful for the grants 2016-URL-IR-013 and 2016-URL-IR-010 from the Generalitat de Catalunya and the Universitat Ramon Llull.
Funding Information:
This work has been supported by the BUILT2SPEC project, which has received funding from the European Union?s Horizon 2020 Research and Innovation Program under Grant Agreement no. 637221. The authors also acknowledge the support from the Secretaria d'Universitats i Recerca del Departament d'Economia i Coneixement (Generalitat de Catalunya) under grant 2014-SGR-0590. Moreover, the first and third authors are respectively grateful for the grants 2016-URL-IR-013 and 2016-URL-IR-010 from the Generalitat de Catalunya and the Universitat Ramon Llull.
Publisher Copyright:
© 2017 Institute of Noise Control Engineering. All Rights Reserved.
PY - 2017
Y1 - 2017
N2 - A convolution model intended to predict the far-field directivity of a planar parametric loudspeaker array (PLA), consisting of a rectangular arrangement of piezoelectric transducers (PZTs), has been recently proposed. In this work the model is further developed to deal with PZTs set in curved surfaces. An expression is first given to compute the audible secondary pressure field generated by a PZT placed at any point and pointing at any direction in space. Then, assuming weak non-linearity, the total audible pressure produced by the whole curved PLA is recovered by means of the superposition principle. As an application, a design for constructing an omnidirectional parametric array consisting of hundreds of PZTs set on a sphere is proposed. A critical point is that of finding an appropriate distribution of PZTs on the spherical surface. Some possibilities are analyzed like addressing the Fekete problem, or resorting to an equal-area partitioning approach. The advantages and drawbacks of those options are analyzed based on simulations and possible construction constraints.
AB - A convolution model intended to predict the far-field directivity of a planar parametric loudspeaker array (PLA), consisting of a rectangular arrangement of piezoelectric transducers (PZTs), has been recently proposed. In this work the model is further developed to deal with PZTs set in curved surfaces. An expression is first given to compute the audible secondary pressure field generated by a PZT placed at any point and pointing at any direction in space. Then, assuming weak non-linearity, the total audible pressure produced by the whole curved PLA is recovered by means of the superposition principle. As an application, a design for constructing an omnidirectional parametric array consisting of hundreds of PZTs set on a sphere is proposed. A critical point is that of finding an appropriate distribution of PZTs on the spherical surface. Some possibilities are analyzed like addressing the Fekete problem, or resorting to an equal-area partitioning approach. The advantages and drawbacks of those options are analyzed based on simulations and possible construction constraints.
KW - Collimated Beam
KW - Non-linear acoustics
KW - Omnidirectional Parametric Loudspeaker
KW - Parametric Acoustic Array
KW - Regular Polyhedron Loudspeaker
UR - http://www.scopus.com/inward/record.url?scp=85042016275&partnerID=8YFLogxK
M3 - Contribution
AN - SCOPUS:85042016275
T2 - 46th International Congress and Exposition on Noise Control Engineering: Taming Noise and Moving Quiet, INTER-NOISE 2017
Y2 - 27 August 2017 through 30 August 2017
ER -