@article{17946,
  author = {Adrian Kirkeby},
  title = {Imaging of Seabed Topography from the Scattering of Water Waves},
  abstract = {We consider the problem of reconstructing the seabed topography from observations of surface gravity waves. We formulate the problem as a classical inverse scattering problem using the mild-slope equation and analyze the topographic dependence of the forward and inverse problem. Moreover, we propose a useful model simplification that makes the inverse problem much more tractable. As water waves allow for observations of the full wave field, it differs quite a lot from the classical inverse scattering problems, and we utilize this to prove a conditional stability result for the inverse problem. Last, we develop a simple and fast numerical inversion method and test it on synthetic data to verify our analysis.},
  year = {2024},
  journal = {Water Waves},
  pages = {1-33},
  month = {12/2024},
  publisher = {Springer Nature},
  url = {https://link.springer.com/article/10.1007/s42286-024-00107-0},
  doi = {https://doi.org/10.1007/s42286-024-00107-0},
}