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    A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media

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    Type
    Article
    Authors
    Létourneau, Pierre-David
    Wu, Ying cc
    Papanicolaou, George
    Garnier, Josselin
    Darve, Eric
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2016-09-19
    Online Publication Date
    2016-09-19
    Print Publication Date
    2017-04
    Permanent link to this record
    http://hdl.handle.net/10754/622269
    
    Metadata
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    Abstract
    We present a wideband fast algorithm capable of accurately computing the full numerical solution of the problem of acoustic scattering of waves by multiple finite-sized bodies such as spherical scatterers in three dimensions. By full solution, we mean that no assumption (e.g. Rayleigh scattering, geometrical optics, weak scattering, Born single scattering, etc.) is necessary regarding the properties of the scatterers, their distribution or the background medium. The algorithm is also fast in the sense that it scales linearly with the number of unknowns. We use this algorithm to study the phenomenon of super-resolution in time-reversal refocusing in highly-scattering media recently observed experimentally (Lemoult et al., 2011), and provide numerical arguments towards the fact that such a phenomenon can be explained through a homogenization theory.
    Citation
    Létourneau P-D, Wu Y, Papanicolaou G, Garnier J, Darve E (2016) A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media. Wave Motion. Available: http://dx.doi.org/10.1016/j.wavemoti.2016.08.012.
    Publisher
    Elsevier BV
    Journal
    Wave Motion
    DOI
    10.1016/j.wavemoti.2016.08.012
    Additional Links
    http://www.sciencedirect.com/science/article/pii/S0165212516301135
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.wavemoti.2016.08.012
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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