Acoustic band gaps for a two-dimensional periodic array of solid cylinders in viscous liquid
- 25 November 2003
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 15 (49), 8207-8212
- https://doi.org/10.1088/0953-8984/15/49/001
Abstract
We investigated the absolute acoustic band gaps for two-dimensional periodic arrays of silica cylinders in viscous liquid. Acoustic band structures, which have complex eigenfrequencies for these systems, are calculated with the plane wave expansion method. They show that when the viscous penetration depth is comparable to the structural length scale, the structures possess large absolute acoustic band gaps compared with those without viscosity. We also found that the magnitude of the viscosity plays an important role in these band gaps.Keywords
This publication has 24 references indexed in Scilit:
- Locally Resonant Sonic MaterialsScience, 2000
- SONIC STOP-BANDS FOR PERIODIC ARRAYS OF METALLIC RODS: HONEYCOMB STRUCTUREJournal of Sound and Vibration, 1998
- Acoustic band gaps in composites of solids and viscous liquidsSolid State Communications, 1998
- Elastic wave band gaps and defect states in two-dimensional compositesThe Journal of the Acoustical Society of America, 1997
- Complete acoustic stop bands for cubic arrays of spherical liquid balloonsJournal of Applied Physics, 1996
- Elastic wave band gaps in 3-D periodic polymer matrix compositesSolid State Communications, 1995
- Sound attenuation by sculptureNature, 1995
- Interpretation of the band-structure results for elastic and acoustic waves by analogy with the LCAO approachPhysical Review B, 1995
- Stop bands for elastic waves in periodic composite materialsThe Journal of the Acoustical Society of America, 1994
- Photonic band structure: The face-centered-cubic case employing nonspherical atomsPhysical Review Letters, 1991