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Related Experiment Videos

Complete band gaps in two-dimensional phononic crystal slabs.

A Khelif1, B Aoubiza, S Mohammadi

  • 1Institut FEMTO-ST, CNRS UMR 6174, Université de Franche-Comté, Besançon, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 13, 2006
PubMed
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This study analyzes acoustic wave propagation in phononic crystal slabs. The thickness-to-period ratio significantly impacts complete band gaps, which differ from bulk acoustic waves.

Area of Science:

  • Acoustics
  • Materials Science
  • Solid State Physics

Background:

  • Phononic crystals offer unique wave manipulation properties.
  • Piezoelectric materials enable active control of acoustic waves.
  • Slab phononic crystals present distinct characteristics compared to bulk structures.

Purpose of the Study:

  • To investigate acoustic wave propagation in phononic crystal slabs with piezoelectric inclusions.
  • To analyze the influence of geometric parameters on complete band gaps.
  • To differentiate slab band gaps from those in infinite 2D phononic crystals.

Main Methods:

  • Numerical analysis of acoustic wave propagation.
  • Modeling of a phononic crystal slab with a square lattice of quartz cylinders in an epoxy matrix.

Related Experiment Videos

  • Systematic variation of the slab thickness to lattice period ratio (d/a).

    • Main Results:

    • Existence of complete band gaps for elastic waves of all polarizations and incidences.
    • Band gap existence and width are critically dependent on the filling fraction and the d/a ratio.
    • Observed closing of band gaps as the d/a ratio increases.
    • Distinct band gap behavior in slabs compared to infinite 2D phononic crystals.

    Conclusions:

    • Phononic crystal slab band gaps are significantly influenced by cutoff frequency modes absent in infinite media.
    • The d/a ratio is a crucial design parameter for tuning band gaps in phononic crystal slabs.
    • These findings are vital for designing acoustic devices with tailored wave-filtering functionalities.