We consider the problem of selective imaging extended reflectors in cluttered media. We propose a random travel time model for simulating the array response matrix in clutter and we compare it with the full wave solution. Our simplified model captures very well the full wave random medium behavior as this is illustrated by our numerical results. The algorithm for selective array imaging uses coherent interferometry on a filtered version of the data. The filter, which is based on the singular value decomposition of the response matrix, enhances the signal reflected by the edges of the reflector. We illustrate the performance of the imaging algorithm with numerical simulations in the regime of ultrasonic non-destructive testing in concrete.
Liliana Borcea 1 ; George Papanicolaou 2 ; Chrysoula Tsogka 3
@article{CRMECA_2010__338_7-8_390_0,
author = {Liliana Borcea and George Papanicolaou and Chrysoula Tsogka},
title = {Subspace projection filters for imaging in random media},
journal = {Comptes Rendus. M\'ecanique},
pages = {390--401},
publisher = {Elsevier},
volume = {338},
number = {7-8},
year = {2010},
doi = {10.1016/j.crme.2010.07.013},
language = {en},
}
TY - JOUR AU - Liliana Borcea AU - George Papanicolaou AU - Chrysoula Tsogka TI - Subspace projection filters for imaging in random media JO - Comptes Rendus. Mécanique PY - 2010 SP - 390 EP - 401 VL - 338 IS - 7-8 PB - Elsevier DO - 10.1016/j.crme.2010.07.013 LA - en ID - CRMECA_2010__338_7-8_390_0 ER -
Liliana Borcea; George Papanicolaou; Chrysoula Tsogka. Subspace projection filters for imaging in random media. Comptes Rendus. Mécanique, Volume 338 (2010) no. 7-8, pp. 390-401. doi : 10.1016/j.crme.2010.07.013. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.07.013/
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