@Article{CiCP-33-884, author = {Liu , Meng and Yang , Jiaqing}, title = {Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {3}, pages = {884--911}, abstract = {

In this paper, we propose a Newton iterative algorithm to numerically reconstruct a locally rough surface with Dirichlet and impedance boundary conditions by near-field measurements of acoustic waves. The algorithm relies on the Fr├ęchet differentiability analysis of the locally rough surface scattering problem, which is established by reducing the original model into an equivalent boundary value problem with compactly supported boundary data. With a slight modification, the algorithm can be also extended to reconstruct the local perturbation of a non-local rough surface. Finally, numerical results are presented to illustrate the effectiveness of the inversion algorithm with the multi-frequency data.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0171}, url = {http://global-sci.org/intro/article_detail/cicp/21663.html} }