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A Global stability estimate for the photo-acoustic inverse problem in layered media

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  • معلومة اضافية
    • Contributors:
      University of Texas at Austin Austin; Equations aux Dérivées Partielles (EDP ); Laboratoire Jean Kuntzmann (LJK ); Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ); ANR-11-LABX-0025,PERSYVAL-lab,Systemes et Algorithmes Pervasifs au confluent des mondes physique et numérique(2011)
    • بيانات النشر:
      HAL CCSD
      Cambridge University Press (CUP)
    • الموضوع:
      2019
    • Collection:
      Université Grenoble Alpes: HAL
    • نبذة مختصرة :
      International audience ; This paper is concerned with the stability issue in determining absorption and diffusion coefficients in photoacoustic imaging. Assuming that the medium is layered and the acoustic wave speed is known we derive global Hölder stability estimates of the photo-acoustic inversion. These results show that the reconstruction is stable in the region close to the optical illumination source, and deteriorate exponentially far away. Several experimental pointed out that the resolution depth of the photo-acoustic modality is about tens of millimeters. Our stability estimates confirm these observations and give a rigorous quantification of this depth resolution.
    • Relation:
      hal-01562924; https://hal.science/hal-01562924; https://hal.science/hal-01562924/document; https://hal.science/hal-01562924/file/pa_stab_VF.pdf
    • الرقم المعرف:
      10.1017/S0956792518000268
    • الدخول الالكتروني :
      https://hal.science/hal-01562924
      https://hal.science/hal-01562924/document
      https://hal.science/hal-01562924/file/pa_stab_VF.pdf
      https://doi.org/10.1017/S0956792518000268
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.466898AA