The existence of full gaps and deaf bands in two-dimensional sonic crystals

Author

Rubio, C. ; Caballero, D. ; Sánchez-Pérez, J.V. ; Martínez-Sala, R. ; Sánchez-Dehesa, J. ; Meseguer, F. ; Cervera, F.

Author_Institution

Dept. de Fisica Aplicada, Univ. Politecnica de Valencia, Spain

Volume

17

Issue

11

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

2202

Lastpage

2207

Abstract

Theoretical and experimental determination of sonic band structures of two-dimensional (2-D) arrays of rigid cylinders in air is reported. We present measurements for square and triangular lattices. A variational method is employed to calculate the acoustic dispersion relation. Experimentally, a transmission technique and the analysis of the phase delay between the incident and scattered waves by the structure are used to construct the acoustic bands. The comparison between theory and experiments allows to fully characterize the band gaps and it has also demonstrated the existence of deaf bands; i.e., bands which cannot be excited due to symmetry reasons. For the case of square lattice we show that the structure with a filling fraction of 0.41 has a full acoustic gap

Keywords

acoustic dispersion; acoustic wave propagation; arrays of rigid cylinders in air; deaf bands; filling fraction; full gaps; incident waves; phase delay; scattered waves; square lattices; transmission technique; triangular lattices; two-dimensional sonic crystals; Acoustic measurements; Acoustic scattering; Acoustic waves; Deafness; Dispersion; Filling; Lattices; Photonic band gap; Propagation delay; Two dimensional displays;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.803012

Filename

803012