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

Jean-Pierre Fouque (), Josselin Garnier (), André Nachbin () and Knut Sølna ()
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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

A chapter in Monte Carlo and Quasi-Monte Carlo Methods 2004, 2006, pp 127-145 from Springer

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.

Keywords: Monte Carlo; Transport Equation; Time Reversal; Random Medium; Jump Markov Process (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-31186-7_9

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DOI: 10.1007/3-540-31186-6_9

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