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

Handle URI:
http://hdl.handle.net/10754/622269
Title:
A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media
Authors:
Létourneau, Pierre-David; Wu, Ying ( 0000-0002-7919-1107 ) ; Papanicolaou, George; Garnier, Josselin; Darve, Eric
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
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
Issue Date:
19-Sep-2016
DOI:
10.1016/j.wavemoti.2016.08.012
Type:
Article
ISSN:
0165-2125
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0165212516301135
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLétourneau, Pierre-Daviden
dc.contributor.authorWu, Yingen
dc.contributor.authorPapanicolaou, Georgeen
dc.contributor.authorGarnier, Josselinen
dc.contributor.authorDarve, Ericen
dc.date.accessioned2017-01-02T09:08:23Z-
dc.date.available2017-01-02T09:08:23Z-
dc.date.issued2016-09-19en
dc.identifier.citationLétourneau 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.en
dc.identifier.issn0165-2125en
dc.identifier.doi10.1016/j.wavemoti.2016.08.012en
dc.identifier.urihttp://hdl.handle.net/10754/622269-
dc.description.abstractWe 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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0165212516301135en
dc.subjectFast multipole methoden
dc.subjectMultiple scatteringen
dc.subjectWaves in inhomogeneous mediaen
dc.subjectSuper-resolutionen
dc.subjectHomogenizationen
dc.titleA numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous mediaen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalWave Motionen
dc.contributor.institutionReservoir Labs, New York City, NY, United Statesen
dc.contributor.institutionDepartment of Mathematics, Stanford University, United Statesen
dc.contributor.institutionLaboratoire de Probabilités et Modèles Aléatoires, Université Paris Diderot, Franceen
dc.contributor.institutionInstitute for Computational and Mathematical Engineering, Stanford University, United Statesen
dc.contributor.institutionMechanical Engineering Department, Stanford University, CA, United Statesen
kaust.authorWu, Yingen
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