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Twist defects in helical sonic structures.

C Oldano1, J A Reyes, S Ponti

  • 1Dipartimento di Fisica, Politecnico di Torino and Istituto Nazionale per la Fisica della Materia (INFM), Corso Duca degli Abruzzi 24, 10129 Turin, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
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We theoretically analyzed acoustic wave propagation in rotating anisotropic materials. A twist defect creates a resonant mode, acting as a tunable filter for circularly polarized shear waves.

Area of Science:

  • Acoustics
  • Materials Science
  • Solid Mechanics

Background:

  • Acoustic wave propagation in periodic structures is crucial for wave manipulation.
  • Anisotropic materials with rotating stiffness tensors present unique wave phenomena.
  • Defect modes in periodic structures can localize and modify wave behavior.

Purpose of the Study:

  • To theoretically analyze acoustic wave propagation in rotating anisotropic periodic media.
  • To investigate defect modes generated by twisting such structures.
  • To explore the potential of these structures as tunable filters for shear waves.

Main Methods:

  • Theoretical analysis of acoustic wave propagation.
  • Modeling of defect modes in twisted periodic anisotropic materials.

Related Experiment Videos

  • Derivation of analytical expressions for defect modes and resonance frequencies.

    • Main Results:

    • A twist defect generates a resonant mode composed of localized and extended standing waves.
    • The amplitude ratio of these waves depends critically on twist angle and elastic anisotropy.
    • Simple analytical expressions define the defect mode and resonance frequency.
    • Finite samples act as frequency filters for circularly polarized shear waves around the resonance frequency.

    Conclusions:

    • The study provides a theoretical framework for understanding acoustic wave behavior in complex periodic media.
    • Tunable frequency filtering of circularly polarized shear waves is achievable by controlling structural parameters.
    • The findings have implications for designing advanced acoustic devices and metamaterials.