Diffusion of monochromatic classical waves

Sijmen Gerritsen, Gerrit E.W. Bauer

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions. We derive expressions for the configuration-averaged energy flux, energy density, and intensity for one-, two-, and three-dimensional (3D) systems with an embedded monochromatic source using the ladder approximation to the Bethe-Salpeter equation. We study the transition from ballistic to diffusive wave propagation and obtain results for the frequency dependence of the medium properties such as mean free path and diffusion coefficient as a function of the scattering parameters. We discover characteristic differences of the diffusion in 2D as compared to the conventional 3D case, such as an explicit dependence of the energy flux on the mean free path and quite different expressions for the effective transport velocity.

Original languageEnglish
Article number016618
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number1
DOIs
Publication statusPublished - 2006 Jan

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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