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Two-dimensional sonic crystals with Helmholtz resonators.

Xinhua Hu1, C T Chan, Jian Zi

  • 1Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China. xhhu@ust.hk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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We developed a novel sonic crystal using Helmholtz resonators. This crystal offers high acoustic refractive index and low impedance mismatch, enabling effective sound focusing with a thin convergent lens.

Area of Science:

  • Acoustics
  • Metamaterials
  • Wave Physics

Background:

  • Sonic crystals offer unique acoustic properties.
  • Helmholtz resonators are known for their acoustic behavior.
  • Controlling sound wave propagation is crucial in various applications.

Purpose of the Study:

  • To introduce a novel sonic crystal design utilizing 2D Helmholtz resonators.
  • To analyze the acoustic refractive index (n) and acoustic impedance (Z) of this sonic crystal.
  • To demonstrate the focusing capabilities of the designed sonic crystal.

Main Methods:

  • Finite-difference time-domain (FDTD) simulations were employed to analyze acoustic properties.
  • The sonic crystal's performance was mapped to an analogous electromagnetic (EM) model.

Related Experiment Videos

  • A thin convergent lens was designed and demonstrated using the sonic crystal.

    • Main Results:

    • The sonic crystal exhibits a high relative acoustic refractive index (n).
    • It demonstrates a small acoustic impedance (Z) mismatch with air for airborne sound.
    • The Helmholtz resonant sonic crystal shows a larger effective magnetic permeability (μ) compared to rigid-cylinder sonic crystals in EM counterparts.

    Conclusions:

    • The proposed sonic crystal design offers significant advantages for acoustic manipulation.
    • The high refractive index and low impedance mismatch facilitate efficient sound wave control.
    • The demonstrated thin convergent lens highlights the practical application potential of these sonic crystals.