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Diffusion of monochromatic classical waves.

Sijmen Gerritsen1, Gerrit E W Bauer

  • 1Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628CJ Delft, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
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This study models wave diffusion in disordered acoustic media using finite insertions. It reveals distinct 2D diffusion behaviors compared to 3D, impacting energy flux and transport velocity.

Area of Science:

  • Acoustics
  • Wave Physics
  • Condensed Matter Physics

Background:

  • Wave propagation in disordered media is crucial for understanding phenomena like light and sound scattering.
  • Traditional models using point scatterers can introduce artifacts, necessitating more realistic modeling approaches.

Purpose of the Study:

  • To investigate the diffusion of monochromatic classical waves in disordered acoustic media.
  • To model randomness using finite insertions, avoiding point scatterer artifacts.
  • To analyze wave propagation transitions from ballistic to diffusive regimes.

Main Methods:

  • Utilizing scattering theory and the ladder approximation to the Bethe-Salpeter equation.
  • Deriving expressions for energy flux, energy density, and intensity in 1D, 2D, and 3D systems.

Related Experiment Videos

  • Analyzing the frequency dependence of medium properties like mean free path and diffusion coefficient.

    • Main Results:

    • Expressions for configuration-averaged energy flux, density, and intensity were derived for 1D, 2D, and 3D systems.
    • The study characterizes the transition from ballistic to diffusive wave propagation.
    • Distinct differences in 2D diffusion were observed compared to 3D, including energy flux dependence on mean free path and unique transport velocity expressions.

    Conclusions:

    • Finite insertions provide a more accurate model for wave diffusion in disordered media than point scatterers.
    • The findings highlight significant differences in 2D acoustic wave diffusion compared to the conventional 3D case.
    • The derived expressions offer insights into the frequency-dependent behavior of disordered acoustic systems.