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Bulk and surface acoustic waves in solid-fluid Fibonacci layered materials.

I Quotane1, E H El Boudouti2, B Djafari-Rouhani3

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This study explores acoustic wave behavior in Fibonacci layered structures. Solid-fluid systems show unique transmission properties and surface modes, differing from solid-solid structures.

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Area of Science:

  • Acoustics
  • Condensed Matter Physics
  • Materials Science

Background:

  • Quasi-periodic structures, specifically Fibonacci sequences, exhibit unique wave propagation properties.
  • Understanding acoustic wave behavior in layered media is crucial for developing advanced acoustic devices.

Purpose of the Study:

  • To theoretically investigate the propagation and localization of acoustic waves in quasi-periodic solid-fluid layered structures.
  • To analyze Fibonacci sequences and Fibonacci superlattices for acoustic wave phenomena.

Main Methods:

  • Theoretical study of acoustic wave propagation and localization.
  • Analysis of sagittal polarization waves under normal and oblique incidence.
  • Investigation of scaling laws, self-similarity in transmission spectra, and energy spectrum behavior.

Main Results:

  • Highlighted scaling laws and self-similarity in transmission spectra for sagittal polarization.
  • Identified surface modes in Fibonacci superlattices.
  • Observed transmission zeros in solid-fluid systems, impacting self-similarity and creating additional band gaps.

Conclusions:

  • Solid-fluid Fibonacci layered systems exhibit distinct acoustic properties compared to solid-solid systems.
  • Transmission zeros in solid-fluid systems can disrupt self-similarity and introduce unique band gaps.
  • The study provides insights into acoustic wave control in complex layered materials.