title: Experimental demonstrations in audible frequency range of band gap tunability and negative refraction in two-dimensional sonic crystal.
abstract: The propagation of audible acoustic waves in two-dimensional square lattice tunable sonic crystals (SC) made of square cross-section infinitely rigid rods embedded in air is investigated experimentally. The band structure is calculated with the plane wave expansion (PWE) method and compared with experimental measurements carried out on a finite extend structure of 200 cm width, 70 cm depth and 15 cm height. The structure is made of square inclusions of 5 cm side with a periodicity of L = 7.5 cm placed inbetween two rigid plates. The existence of tunable complete band gaps in the audible frequency range is demonstrated experimentally by rotating the scatterers around their vertical axis. Negative refraction is then analyzed by use of the anisotropy of the equi-frequency surface (EFS) in the first band and of a finite difference time domain (FDTD) method. Experimental results finally show negative refraction in the audible frequency range.
authors.affiliation: Laboratoire d'Acoustique de l'Université du Maine, UMR-CNRS 6613, Avenue Olivier Messiaen, F-72085 Le Mans, Cedex 9, France. helene.pichard.etu@univ-lemans.fr
authors.forename: Hélène
authors.initials: H
authors.lastname: Pichard
authors.forename: Olivier
authors.initials: O
authors.lastname: Richoux
authors.forename: Jean-Philippe
authors.initials: JP
authors.lastname: Groby
mesh_terms: D000162:Acoustics / Q000295:instrumentation*; D016880:Anisotropy; D003198:Computer Simulation; D004548:Elasticity; D004867:Equipment Design; D008420:Manufactured Materials; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D011312:Pressure; D012399:Rotation; D012542:Scattering, Radiation; D013016:Sound; D013997:Time Factors; D014732:Vibration