English

Phase recovery from phaseless scattering data for discrete Schr\"{o}dinger operators

Mathematical Physics 2024-03-15 v4 Mesoscale and Nanoscale Physics math.MP

Abstract

We consider scattering for the discrete Schr\"{o}dinger operator on the square lattice Zd\mathbb{Z}^d, d1d \ge 1, with compactly supported potential. We give formulas for finding the phased scattering amplitude from phaseless near-field scattering data.

Keywords

Cite

@article{arxiv.2307.06041,
  title  = {Phase recovery from phaseless scattering data for discrete Schr\"{o}dinger operators},
  author = {Roman Novikov and Basant Lal Sharma},
  journal= {arXiv preprint arXiv:2307.06041},
  year   = {2024}
}

Comments

Keywords: Discrete Schr\"{o}dinger operators, monochromatic scattering data, phase retrieval, phaseless inverse scattering

R2 v1 2026-06-28T11:28:18.808Z