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One-Dimensional Phononic Crystals

  • EI Houssaine EI Boudouti
  • Bahram Djafari-Rouhani
Chapter
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 173)

Abstract

In this chapter, we discuss the vibrational properties of one-dimensional (1D) phononic crystals of both discrete and continuous media. These properties include the dispersion curves of infinite crystals as well as the confined modes and localized (surface, cavity) modes of finite and semi-infinite crystals. A general rule about the existence of localized surface modes in finite and semi-infinite superlattices with free surfaces is presented. We also present the calculations of reflection and transmission coefficients, particularly in view of selective filtering through localized modes. Most of the results presented in this chapter deal with waves propagating along the axis of the superlattice. However, in the last part of the chapter, we also discuss wave propagation out of the normal incidence and, more particularly, we demonstrate the possibility of omnidirectional transmission gap and selective filtering for any incidence angle. A comparison of the theoretical results with experimental data available in the literature is also presented and the reliability of the theoretical predictions is indicated.

Keywords

Surface Mode Defect Mode Fano Resonance Defect Layer Phononic Crystal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was realized within the framework of a scientific convention between the universities of Lille 1 and Oujda.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • EI Houssaine EI Boudouti
    • 1
  • Bahram Djafari-Rouhani
    • 2
  1. 1.LDOM, Département de PhysiqueUniversité Mohamed IOujdaMorocco
  2. 2.IEMN, UMR-CNRS 8520, UFR de PhysiqueUniversité de Lille 1Villeneuve d’AscqFrance

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