Acoustic lens design by genetic algorithms

A. Håkansson, J. Sánchez-Dehesa, and L. Sanchis
Phys. Rev. B 70, 214302 – Published 3 December 2004

Abstract

A survey of acoustic devices for focusing airborne sound is presented. We introduce a new approach to design high quality acoustic lenses based on arrays of cylindrical rigid scatterers in air. A population based stochastic search algorithm is used in conjunction with the multiple scattering theory to optimize a cluster of cylinders that focuses the sound in a prefixed focal point. Various lenses of different sized clusters, for different frequencies and with different focal lengths are presented. In general three focusing phenomena are remarked, focusing due to refraction, diffraction and focusing due to multiple scattering. The dependency on the frequency of the incident sound and the focal distance is analyzed indicating that higher frequencies and smaller focal distances favor larger amplifications in thin lenses based on multiple scattering. Furthermore, the robustness of a designed acoustic lens is studied, examining the focusing effect against errors in the cylinders’ positions and their radius.

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  • Received 17 February 2004

DOI:https://doi.org/10.1103/PhysRevB.70.214302

©2004 American Physical Society

Authors & Affiliations

A. Håkansson and J. Sánchez-Dehesa*

  • Centro de Tecnología Nanofotónica and Dpto. Ingeniería Electrónica, Universidad Politécnica de Valencia, E-46022 Valencia, Spain

L. Sanchis

  • Departamento de Física Teórica de la Materia Condensada, Facultad de Ciencias, Universidad Autónoma de Madrid, E-28049 Madrid, Spain

  • *Electronic address: jsdehesa@upvnet.upv.es

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Issue

Vol. 70, Iss. 21 — 1 December 2004

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