TY - JOUR
T1 - A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media
AU - Létourneau, Pierre-David
AU - Wu, Ying
AU - Papanicolaou, George
AU - Garnier, Josselin
AU - Darve, Eric
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2016/9/19
Y1 - 2016/9/19
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/622269
UR - http://www.sciencedirect.com/science/article/pii/S0165212516301135
UR - http://www.scopus.com/inward/record.url?scp=85008613698&partnerID=8YFLogxK
U2 - 10.1016/j.wavemoti.2016.08.012
DO - 10.1016/j.wavemoti.2016.08.012
M3 - Article
SN - 0165-2125
VL - 70
SP - 113
EP - 134
JO - Wave Motion
JF - Wave Motion
ER -