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Volume 37, Issue 5
Reconstruction of a Locally Rough Interface and the Embedded Obstacle with the Reverse Time Migration

Jianliang Li, Hao Wu & Jiaqing Yang

DOI: 10.4208/cicp.OA-2023-0296

Commun. Comput. Phys., 37 (2025), pp. 1452-1479.

Published online: 2025-05

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  • Abstract

Consider the inverse problem of time-harmonic acoustic scattering by an unbounded locally rough interface with bounded obstacles embedded in the lower half-space. An extended reverse time migration (RTM) is proposed to simultaneously reconstruct the locally rough interface and embedded obstacles. By constructing a modified Helmholtz-Kirchhoff identity associated with a planar interface and a mixed reciprocity relation, we propose two new imaging functionals with using both the near-field and far-field measurements. It is shown that the imaging functionals always peak on the local perturbation of the interface and the embedded obstacle. Thus, the two imaging functional can be used to reconstruct the location and shape of the rough surface and the embedded obstacle. Numerical examples are presented to demonstrate the effectiveness of the method.

  • Keywords

Inverse acoustic scattering, locally rough interfaces, embedded obstacles, reverse time migration.

  • AMS Subject Headings

35R30, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

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  • BibTex
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@Article{CiCP-37-1452, author = {Li , JianliangWu , Hao and Yang , Jiaqing}, title = {Reconstruction of a Locally Rough Interface and the Embedded Obstacle with the Reverse Time Migration}, journal = {Communications in Computational Physics}, year = {2025}, volume = {37}, number = {5}, pages = {1452--1479}, abstract = {

Consider the inverse problem of time-harmonic acoustic scattering by an unbounded locally rough interface with bounded obstacles embedded in the lower half-space. An extended reverse time migration (RTM) is proposed to simultaneously reconstruct the locally rough interface and embedded obstacles. By constructing a modified Helmholtz-Kirchhoff identity associated with a planar interface and a mixed reciprocity relation, we propose two new imaging functionals with using both the near-field and far-field measurements. It is shown that the imaging functionals always peak on the local perturbation of the interface and the embedded obstacle. Thus, the two imaging functional can be used to reconstruct the location and shape of the rough surface and the embedded obstacle. Numerical examples are presented to demonstrate the effectiveness of the method.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2023-0296}, url = {http://global-sci.org/intro/article_detail/cicp/24100.html} }
TY - JOUR T1 - Reconstruction of a Locally Rough Interface and the Embedded Obstacle with the Reverse Time Migration AU - Li , Jianliang AU - Wu , Hao AU - Yang , Jiaqing JO - Communications in Computational Physics VL - 5 SP - 1452 EP - 1479 PY - 2025 DA - 2025/05 SN - 37 DO - http://doi.org/10.4208/cicp.OA-2023-0296 UR - https://global-sci.org/intro/article_detail/cicp/24100.html KW - Inverse acoustic scattering, locally rough interfaces, embedded obstacles, reverse time migration. AB -

Consider the inverse problem of time-harmonic acoustic scattering by an unbounded locally rough interface with bounded obstacles embedded in the lower half-space. An extended reverse time migration (RTM) is proposed to simultaneously reconstruct the locally rough interface and embedded obstacles. By constructing a modified Helmholtz-Kirchhoff identity associated with a planar interface and a mixed reciprocity relation, we propose two new imaging functionals with using both the near-field and far-field measurements. It is shown that the imaging functionals always peak on the local perturbation of the interface and the embedded obstacle. Thus, the two imaging functional can be used to reconstruct the location and shape of the rough surface and the embedded obstacle. Numerical examples are presented to demonstrate the effectiveness of the method.

Li , JianliangWu , Hao and Yang , Jiaqing. (2025). Reconstruction of a Locally Rough Interface and the Embedded Obstacle with the Reverse Time Migration. Communications in Computational Physics. 37 (5). 1452-1479. doi:10.4208/cicp.OA-2023-0296
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