Phase recovery from phaseless scattering data for discrete Schrödinger operators

Roman Novikov (1) , Basant Lal Sharma (2)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 IIT Kanpur - Indian Institute of Technology Kanpur

We consider scattering for the discrete Schrödinger operator on the square lattice Z^d, d ≥ 1, with compactly supported potential. We give formulas for finding the phased scattering amplitude from phaseless near-field scattering data.

Keywords: discrete Schrödinger operators; monochromatic scattering data; phase retrieval; phaseless inverse scattering

Domains: Mathematical Physics [math-ph]; Quantum Physics [quant-ph]

Roman Novikov, Basant Lal Sharma. Phase recovery from phaseless scattering data for discrete Schrödinger operators. Inverse Problems, 2023, 39 (12), pp.125006. ⟨10.1088/1361-6420/ad03fe⟩. ⟨hal-04180062v2⟩