Reconstruction methods for inverse scattering problems with phaseless data

@misc{schotland2026reconstruction,
  title = {{Reconstruction methods for inverse scattering problems with phaseless data}},
  author = {John C. Schotland and Shenwen Yu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.23784},
  eprint = {2605.23784},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.23784},
}

TY  - UNPB
TI  - Reconstruction methods for inverse scattering problems with phaseless data
AU  - John C. Schotland
AU  - Shenwen Yu
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2605.23784
UR  - https://arxiv.org/abs/2605.23784
AB  - We investigate phaseless inverse scattering problem for the Schrödinger equation and develop reconstruction methods based on the inverse Born series (IBS). We consider three types of phaseless data: the far-field total field, the total field and the far-field scattered field. For phaseless total-field data, we extend the IBS framework and analyze its radius of convergence. In the far-field setting, we propose a Fourier-based reconstruction method that exploits the scattering reciprocity between incident and observation directions to recover Fourier coefficients of the scattering potential. For phaseless scattered-field data, we employ a polarization-based approach to recover phase information and enable IBS reconstruction. Numerical experiments are conducted to validate the proposed methods.
ER  -