The European Physical Journal Special Topics

, Volume 226, Issue 7, pp 1549–1561 | Cite as

Dynamic coherent backscattering of ultrasound in three-dimensional strongly-scattering media

  • L. A. Cobus
  • B. A. van Tiggelen
  • A. Derode
  • J. H. Page
Open Access
Regular Article
Part of the following topical collections:
  1. From Ill-condensed Matter to Mesoscopic Wave Propagation


We present measurements of the diffusion coefficient of ultrasound in strongly scattering three-dimensional (3D) disordered media using the dynamic coherent backscattering (CBS) effect. Our experiments measure the CBS of ultrasonic waves using a transducer array placed in the far-field of a 3D slab sample of brazed aluminum beads surrounded by vacuum. We extend to 3D media the general microscopic theory of CBS that was developed initially for acoustic waves in 2D. This theory is valid in the strong scattering, but still diffuse, regime that is realized in our sample, and is evaluated in the diffuse far field limit encountered in our experiments. By comparing our theory with the experimental data, we obtain an accurate measurement of the Boltzmann diffusion coefficient of ultrasound in our sample. We find that the value of D B is quite small, 0.74 ± 0.03 mm2/μs, and comment on the implications of this slow transport for the energy velocity.


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© The Author(s) 2017

Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  • L. A. Cobus
    • 1
  • B. A. van Tiggelen
    • 2
    • 3
  • A. Derode
    • 4
  • J. H. Page
    • 1
  1. 1.Department of Physics and AstronomyUniversity of Manitoba, WinnipegManitoba R3T 2N2Canada
  2. 2.Université Grenoble Alpes, LPMMCGrenobleFrance
  3. 3.CNRS, LPMMCGrenobleFrance
  4. 4.Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, Université Denis Diderot - Paris 7ParisFrance

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