Reconstruction of a Locally Rough Interface and the Embedded Obstacle with the Reverse Time Migration
Year: 2025
Author: Jianliang Li, Hao Wu, Jiaqing Yang
Communications in Computational Physics, Vol. 37 (2025), Iss. 5 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2023-0296
Communications in Computational Physics, Vol. 37 (2025), Iss. 5 : pp. 1452–1479
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Inverse acoustic scattering locally rough interfaces embedded obstacles reverse time migration.