Phononic crystal with low filling fraction and absolute acoustic band gap in the audible frequency range: A theoretical and experimental study

J. O. Vasseur, Pierre A Deymier, A. Khelif, Ph Lambin, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, N. Fettouhi, J. Zemmouri

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The propagation of acoustic waves in a two-dimensional composite medium constituted of a square array of parallel copper cylinders in air is investigated both theoretically and experimentally. The band structure is calculated with the plane wave expansion (PWE) method by imposing the condition of elastic rigidity to the solid inclusions. The PWE results are then compared to the transmission coefficients computed with the finite difference time domain (FDTD) method for finite thickness composite samples. In the low frequency regime, the band structure calculations agree with the FDTD results indicating that the assumption of infinitely rigid inclusion retains the validity of the PWE results to this frequency domain. These calculations predict that this composite material possesses a large absolute forbidden band in the domain of the audible frequencies. The FDTD spectra reveal also that hollow and filled cylinders produce very similar sound transmission suggesting the possibility of realizing light, effective sonic insulators. Experimental measurements show that the transmission through an array of hollow Cu cylinders drops to noise level throughout frequency interval in good agreement with the calculated forbidden band.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume65
Issue number5
DOIs
StatePublished - Jan 1 2002

Fingerprint

Band Gap
Plane Wave
Experimental Study
Acoustics
Crystal
Finite-difference Time-domain (FDTD)
frequency ranges
Band Structure
forbidden bands
plane waves
acoustics
Inclusion
Range of data
Composite Media
crystals
expansion
composite materials
hollow
Finite-difference Time-domain Method
Transmission Coefficient

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Phononic crystal with low filling fraction and absolute acoustic band gap in the audible frequency range : A theoretical and experimental study. / Vasseur, J. O.; Deymier, Pierre A; Khelif, A.; Lambin, Ph; Djafari-Rouhani, B.; Akjouj, A.; Dobrzynski, L.; Fettouhi, N.; Zemmouri, J.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 65, No. 5, 01.01.2002.

Research output: Contribution to journalArticle

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