Transmission and dispersion modes in phononic crystals with hollow cylinders

Application to waveguide structure

Y. Pennec, B. Djafari-Rouhani, J. O. Vasseur, Pierre A Deymier, A. Khelif

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

In this paper, we present a theoretical analysis of the propagation of acoustic waves through phononic crystals constituted of square array of hollow cylinders of steel immersed in water. The study of the transmission along the principal high-symmetry direction, TX of the Brillouin zone reveals the presence of a Narrow Pass Band (NPB) falling inside a wide band gap. Nevertheless the band structure displays two NPB in the same frequency range. Symmetry arguments, based on the calculation of the displacement field, shows that only the lowest NPB contributes to the transmission. The two NPB transform into two wider bands along the TM direction of the Brillouin zone, but now only the highest branch contributes to the transmission when a normally incident wave is launched onto the phononic crystal. Finally, we show that, by inserting hollow cylinders as a line defect inside a phononic crystal of filled steel cylinders, one can realize selective frequency waveguides that may be useful for guiding and multiplexing applications.

Original languageEnglish (US)
Title of host publicationPhysica Status Solidi C: Conferences
Pages2711-2715
Number of pages5
Volume1
Edition11
DOIs
StatePublished - 2004

Fingerprint

hollow
waveguides
crystals
Brillouin zones
steels
broadband
symmetry
multiplexing
falling
frequency ranges
propagation
acoustics
defects
water

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Pennec, Y., Djafari-Rouhani, B., Vasseur, J. O., Deymier, P. A., & Khelif, A. (2004). Transmission and dispersion modes in phononic crystals with hollow cylinders: Application to waveguide structure. In Physica Status Solidi C: Conferences (11 ed., Vol. 1, pp. 2711-2715) https://doi.org/10.1002/pssc.200405300

Transmission and dispersion modes in phononic crystals with hollow cylinders : Application to waveguide structure. / Pennec, Y.; Djafari-Rouhani, B.; Vasseur, J. O.; Deymier, Pierre A; Khelif, A.

Physica Status Solidi C: Conferences. Vol. 1 11. ed. 2004. p. 2711-2715.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Pennec, Y, Djafari-Rouhani, B, Vasseur, JO, Deymier, PA & Khelif, A 2004, Transmission and dispersion modes in phononic crystals with hollow cylinders: Application to waveguide structure. in Physica Status Solidi C: Conferences. 11 edn, vol. 1, pp. 2711-2715. https://doi.org/10.1002/pssc.200405300
Pennec Y, Djafari-Rouhani B, Vasseur JO, Deymier PA, Khelif A. Transmission and dispersion modes in phononic crystals with hollow cylinders: Application to waveguide structure. In Physica Status Solidi C: Conferences. 11 ed. Vol. 1. 2004. p. 2711-2715 https://doi.org/10.1002/pssc.200405300
Pennec, Y. ; Djafari-Rouhani, B. ; Vasseur, J. O. ; Deymier, Pierre A ; Khelif, A. / Transmission and dispersion modes in phononic crystals with hollow cylinders : Application to waveguide structure. Physica Status Solidi C: Conferences. Vol. 1 11. ed. 2004. pp. 2711-2715
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