Some inverse problems arising from elastic scattering by rigid obstacles. Hu, G., Kirsch, A., & Sini, M. Inverse Problems, 29(1):015009, 2013. ISBN: 0266-5611![Some inverse problems arising from elastic scattering by rigid obstacles [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex In the first part of this paper, it is proved that a C2-regular rigid scatterer in can be uniquely identified by the shear part (i.e. S-part) of the far-field pattern corresponding to all incident shear waves at any fixed frequency. The proof is short and it is based on a kind of decoupling of the S-part of scattered wave from its pressure part (i.e. P-part) on the boundary of the scatterer. Moreover, uniqueness using the S-part of the far-field pattern corresponding to only one incident plane shear wave holds for a ball or a convex Lipschitz polyhedron. In the second part, we adapt the factorization method to recover the shape of a rigid body from the scattered S-waves (resp. P-waves) corresponding to all incident plane shear (resp. pressure) waves. Numerical examples illustrate the accuracy of our reconstruction in . In particular, the factorization method also leads to some uniqueness results for all frequencies excluding possibly a discrete set.
@article{hu_inverse_2013,
title = {Some inverse problems arising from elastic scattering by rigid obstacles},
volume = {29},
issn = {0266-5611},
url = {http://stacks.iop.org/0266-5611/29/i=1/a=015009?key=crossref.0350801ab6049184fdcaf35f120a4ca7},
doi = {10.1088/0266-5611/29/1/015009},
abstract = {In the first part of this paper, it is proved that a C2-regular rigid scatterer in can be uniquely identified by the shear part (i.e. S-part) of the far-field pattern corresponding to all incident shear waves at any fixed frequency. The proof is short and it is based on a kind of decoupling of the S-part of scattered wave from its pressure part (i.e. P-part) on the boundary of the scatterer. Moreover, uniqueness using the S-part of the far-field pattern corresponding to only one incident plane shear wave holds for a ball or a convex Lipschitz polyhedron. In the second part, we adapt the factorization method to recover the shape of a rigid body from the scattered S-waves (resp. P-waves) corresponding to all incident plane shear (resp. pressure) waves. Numerical examples illustrate the accuracy of our reconstruction in . In particular, the factorization method also leads to some uniqueness results for all frequencies excluding possibly a discrete set.},
number = {1},
journal = {Inverse Problems},
author = {Hu, Guanghui and Kirsch, Andreas and Sini, Mourad},
year = {2013},
note = {ISBN: 0266-5611},
pages = {015009},
}
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