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Imaging of a Dissipative Layer in a Random Medium Using a Time Reversal Method

In: Monte Carlo and Quasi-Monte Carlo Methods 2004

Author

Listed:
  • Jean-Pierre Fouque

    (North Carolina State University, Department of Mathematics)

  • Josselin Garnier

    (Université Paris VII, Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions)

  • André Nachbin

    (Instituto de Matemática Pura e Aplicada)

  • Knut Sølna

    (University of California, Department of Mathematics)

Abstract

Summary In this paper time reversal of acoustic waves in a dissipative random one-dimensional medium is analyzed. It is shown that time reversal can be used as an efficient and statistically stable method to image a dissipative layer embedded in a random scattering medium. The quantities needed to achieve this goal appear as the solutions of a system of transport equations which are solved by a Monte Carlo method.

Suggested Citation

  • Jean-Pierre Fouque & Josselin Garnier & André Nachbin & Knut Sølna, 2006. "Imaging of a Dissipative Layer in a Random Medium Using a Time Reversal Method," Springer Books, in: Harald Niederreiter & Denis Talay (ed.), Monte Carlo and Quasi-Monte Carlo Methods 2004, pages 127-145, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-31186-7_9
    DOI: 10.1007/3-540-31186-6_9
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