Time-reversal inside a granular suspension to probe ultrasound diffusion

We demonstrate that ultrasound diffusion—typically associated with the transport of average wave energy and the breaking of time-reversal symmetry—can nonetheless be revealed through a time-reversal experiment. This is achieved using an unprecedented configuration: A single piezoelectric transducer,...

Full description

Saved in:
Bibliographic Details
Main Authors: Yamil Abraham, Bart A. van Tiggelen, Nicolas Benech, Carlos Negreira, Xiaoping Jia, Arnaud Tourin
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/47wj-s8lj
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849685332378779648
author Yamil Abraham
Bart A. van Tiggelen
Nicolas Benech
Carlos Negreira
Xiaoping Jia
Arnaud Tourin
author_facet Yamil Abraham
Bart A. van Tiggelen
Nicolas Benech
Carlos Negreira
Xiaoping Jia
Arnaud Tourin
author_sort Yamil Abraham
collection DOAJ
description We demonstrate that ultrasound diffusion—typically associated with the transport of average wave energy and the breaking of time-reversal symmetry—can nonetheless be revealed through a time-reversal experiment. This is achieved using an unprecedented configuration: A single piezoelectric transducer, acting as a time-reversal mirror (TRM), is buried deep inside a strongly scattering medium (a dense granular suspension), while an array of transducers is positioned at a distance, outside the scattering region. A short pulse is emitted by a single array element and the TRM records the resulting ultrasonic field, composed of a coherent ballistic wave followed by a diffuse coda wave. When the entire coda is time-reversed and re-emitted from the TRM, the wave refocuses at the original source with a focal spot size that decreases with the inverse of the TRM depth, consistent with diffusive transport. By time-reversing short coda segments at increasing times t, we observe a focal spot size scaling as 1/sqrt[Dt], where D is the ultrasound diffusion coefficient. Fitting this evolution with a microscopic diffusion model allows us to extract D. Remarkably, this measurement does not require ensemble averaging, because of the inherent stability of time-reversal against statistical fluctuations.
format Article
id doaj-art-b4fdeb32e56641398b7db6a76681b4ea
institution DOAJ
issn 2643-1564
language English
publishDate 2025-06-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-b4fdeb32e56641398b7db6a76681b4ea2025-08-20T03:23:11ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202329110.1103/47wj-s8ljTime-reversal inside a granular suspension to probe ultrasound diffusionYamil AbrahamBart A. van TiggelenNicolas BenechCarlos NegreiraXiaoping JiaArnaud TourinWe demonstrate that ultrasound diffusion—typically associated with the transport of average wave energy and the breaking of time-reversal symmetry—can nonetheless be revealed through a time-reversal experiment. This is achieved using an unprecedented configuration: A single piezoelectric transducer, acting as a time-reversal mirror (TRM), is buried deep inside a strongly scattering medium (a dense granular suspension), while an array of transducers is positioned at a distance, outside the scattering region. A short pulse is emitted by a single array element and the TRM records the resulting ultrasonic field, composed of a coherent ballistic wave followed by a diffuse coda wave. When the entire coda is time-reversed and re-emitted from the TRM, the wave refocuses at the original source with a focal spot size that decreases with the inverse of the TRM depth, consistent with diffusive transport. By time-reversing short coda segments at increasing times t, we observe a focal spot size scaling as 1/sqrt[Dt], where D is the ultrasound diffusion coefficient. Fitting this evolution with a microscopic diffusion model allows us to extract D. Remarkably, this measurement does not require ensemble averaging, because of the inherent stability of time-reversal against statistical fluctuations.http://doi.org/10.1103/47wj-s8lj
spellingShingle Yamil Abraham
Bart A. van Tiggelen
Nicolas Benech
Carlos Negreira
Xiaoping Jia
Arnaud Tourin
Time-reversal inside a granular suspension to probe ultrasound diffusion
Physical Review Research
title Time-reversal inside a granular suspension to probe ultrasound diffusion
title_full Time-reversal inside a granular suspension to probe ultrasound diffusion
title_fullStr Time-reversal inside a granular suspension to probe ultrasound diffusion
title_full_unstemmed Time-reversal inside a granular suspension to probe ultrasound diffusion
title_short Time-reversal inside a granular suspension to probe ultrasound diffusion
title_sort time reversal inside a granular suspension to probe ultrasound diffusion
url http://doi.org/10.1103/47wj-s8lj
work_keys_str_mv AT yamilabraham timereversalinsideagranularsuspensiontoprobeultrasounddiffusion
AT bartavantiggelen timereversalinsideagranularsuspensiontoprobeultrasounddiffusion
AT nicolasbenech timereversalinsideagranularsuspensiontoprobeultrasounddiffusion
AT carlosnegreira timereversalinsideagranularsuspensiontoprobeultrasounddiffusion
AT xiaopingjia timereversalinsideagranularsuspensiontoprobeultrasounddiffusion
AT arnaudtourin timereversalinsideagranularsuspensiontoprobeultrasounddiffusion