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SUMMARY:Wave propagation in random multi-scale media and quantitative ultr
 asound imaging
DTSTART:20250415T131500Z
DTEND:20250415T141500Z
DTSTAMP:20260606T170800Z
UID:indico-event-13465@indico.math.cnrs.fr
DESCRIPTION:Speakers: Laure Giovangigli\n\nIn the recent years the researc
 h in ultrasound imaging has been focusing on refining the reconstruction a
 lgorithm and the underlying mathematical model. In soft tissues\, the meas
 ured echoes come from numerous weakly contrasted unresolved scatterers. In
  this work we first aim at providing a mathematical framework for wave pro
 pagation in tissue-mimicking random multi-scale media. We derive a quantit
 ative asymptotic expansion of the measured field with respect to the size 
 of the scatterers using stochastic homogenization [2]. Secondly we use thi
 s asymptotics of the scattered field to justify the estimators of the effe
 ctive speed of soundinside biological tissues introduced by A. Aubry [1]. 
 By analyzing the dependence of the imaging functional with respect to the 
 backpropagation speed\, we build an estimator of the sound speed in the ra
 ndom multi-scale medium. We then confront our results with numerical simul
 ations and experimental results.\n[1] F. Bureau\, Multi-dimensional analys
 is of the reflection matrix for quantitative ultrasound imaging\, theses\,
  Université Paris sciences et lettres (2023).[2] J. Garnier\, L. Giovangi
 gli\, Q. Goepfert and P. Millien\, Scattered wavefield in the stochastic h
 omogenization regime\, (2023).\n\nhttps://indico.math.cnrs.fr/event/13465/
LOCATION:Fokko du Cloux (Bâtiment Braconnier\, La Doua)
URL:https://indico.math.cnrs.fr/event/13465/
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