Sound Localization through Multi-Scattering and Gradient-Based Optimization

Feruza Amirkulova, Samer Gerges and Andrew Norris
Additional contact information
Feruza Amirkulova: Mechanical Engineering Department, San José State University, 1 Washington Sq, San Jose, CA 95192, USA
Samer Gerges: Mechanical Engineering Department, San José State University, 1 Washington Sq, San Jose, CA 95192, USA
Andrew Norris: Mechanical and Aerospace Engineering Department, Rutgers University, New Brunswick, NJ 08854, USA

Mathematics, 2021, vol. 9, issue 22, 1-33

Abstract: A gradient-based optimization (GBO) method is presented for acoustic lens design and sound localization. GBO uses a semi-analytical optimization combined with the principle of acoustic reciprocity. The idea differs from earlier inverse designs that use topology optimization tools and generic algorithms. We first derive a formula for the gradients of the pressure at the focal point with respect to positions of a set of cylindrical scatterers. The analytic form of the gradients enhances modeling capability when combined with optimization algorithms and parallel computing. The GBO algorithm maximizes the sound amplification at the focal point and enhances the sound localization by evaluating pressure derivatives with respect to the cylinder positions and then perturbatively optimizing the position of each cylinder in the lens while incorporating multiple scattering between the cylindrical scatterers. The results of the GBO of the uni- and multi-directional broadband acoustic lens designs are presented including several performance measures for the frequency dependence and the incidence angle. A multi-directional broadband acoustic lens is designed to localize the sound and to focus acoustic incident waves received from multiple directions onto a predetermined localization region or focal point. The method is illustrated for configurations of sound hard and sound soft cylinders as well as clusters of elastic thin shells in water.

Keywords: multiple scattering; gradient-based optimization; acoustic reciprocity; broadband metamaterials; acoustic lens; sound localization; inverse design; Helmholtz equations; multipole expansions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/22/2862/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/22/2862/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:22:p:2862-:d:676873

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().