A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media
Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2016-09-19Online Publication Date
2016-09-19Print Publication Date
2017-04Permanent link to this record
http://hdl.handle.net/10754/622269
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Show full item recordAbstract
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 BVJournal
Wave MotionAdditional Links
http://www.sciencedirect.com/science/article/pii/S0165212516301135ae974a485f413a2113503eed53cd6c53
10.1016/j.wavemoti.2016.08.012