Time reversal in viscoelastic media

Abstract : In this paper, we consider the problem of reconstructing sources in a homogeneous viscoelastic medium from wavefield measurements using time-reversal algorithms. Our motivation is the recent advances on hybrid methods in biomedical imaging. We first present a modified time-reversal imaging algorithm based on a weighted Helmholtz decomposition and justify mathematically that it provides a better approximation than by simply time reversing the displacement field. Then, we investigate the source inverse problem in an elastic attenuating medium. We provide a regularized time-reversal imaging which corrects the attenuation effect at the first order.
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Article dans une revue
European Journal of Applied Mathematics, Cambridge University Press (CUP), 2013, 24, pp.565-600
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  • HAL Id : hal-00995335, version 1

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Habib Ammari, Elie Bretin, Josselin Garnier, Abdul Wahab. Time reversal in viscoelastic media. European Journal of Applied Mathematics, Cambridge University Press (CUP), 2013, 24, pp.565-600. <hal-00995335>

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