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Sound Attenuation by a Two-Dimensional Array of Rigid Cylinders
Abstract
In this Letter we present an experimental analysis of the acoustic transmission of a two-dimensional periodic array of rigid cylinders in air with two different geometrical configurations: square and triangular. In both configurations, and above a certain filling fraction, we observe an overlap, in the range of the audible frequencies, between the attenuation peaks measured along the two high-symmetry directions of the Brillouin zone. This effect is considered as the fingerprint of the existence of a full acoustic gap. Nevertheless, the comparison with our calculation of band structures shows that the triangular lattice has band states in that frequency range. We call them deaf bands. This contradictory result is explained by looking at the symmetry of the deaf bands; they cannot be excited by experiments of sound transmission.
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Cites
Inhibited Spontaneous Emission in Solid-State Physics and Electronics
Yablonovitch, E. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2059 · Cited by 14,067
de Boor, C. (1978) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-6333-3 · Cited by 11,944
Strong localization of photons in certain disordered dielectric superlattices
John, S. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2486 · Cited by 10,029
Acoustic band structure of periodic elastic composites
Kushwaha, M. S., Halevi, P., Dobrzynski, L., & Djafari-Rouhani, B. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.2022 · Cited by 2,937
Elastic and acoustic wave band structure
Sigalas, M. M., & Economou, E. N. (1992) · Journal of Sound and Vibration · doi:10.1016/0022-460x(92)90059-7 · Cited by 1,260
Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths
Krauss, T. F., Rue, R. M. D. L., & Brand, S. (1996) · Nature · doi:10.1038/383699a0 · Cited by 788
Measurement of photonic band structure in a two-dimensional periodic dielectric array
Robertson, W. M., Arjavalingam, G., Meade, R. D., Brommer, K. D., Rappe, A. M., & Joannopoulos, J. D. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.2023 · Cited by 377
Stop-bands for periodic metallic rods: Sculptures that can filter the noise
Kushwaha, M. S. (1997) · Applied Physics Letters · doi:10.1063/1.119130 · Cited by 240
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Zhang, Q., Yang, X., Li, P., Huang, G., Feng, S., Shen, C., Han, B., Zhang, X., Jin, F., Xu, F., et al. (2015) · Progress in Materials Science · doi:10.1016/j.pmatsci.2015.05.001 · Cited by 836
Yu, S.-Y., Sun, X.-C., Ni, X., Wang, Q., Yan, X.-J., He, C., Liu, X.-P., Feng, L., Lu, M.-H., & Chen, Y.-F. (2016) · Nature Materials · doi:10.1038/nmat4743 · Cited by 111
Metadata
- Authors
- Sánchez-Pérez, J. V., Caballero, D., Mártinez-Sala, R., Rubio, C., Sánchez-Dehesa, J., Meseguer, F., Llinares, J., & Gálvez, F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-06-15
- Volume
- 80
- Issue
- 24
- Pages
- 5325-5328
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2038761690
- Cited by
- 567
- References
- 8
- FWCI
- 13.03
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sánchez-Pérez, J. V., Caballero, D., Mártinez-Sala, R., Rubio, C., Sánchez-Dehesa, J., Meseguer, F., Llinares, J., & Gálvez, F. (1998). Sound Attenuation by a Two-Dimensional Array of Rigid Cylinders. Physical Review Letters. https://doi.org/10.1103/physrevlett.80.5325
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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