Phase recovery from phaseless scattering data for discrete Schrödinger operators

Abstract

We consider scattering for the discrete Schrödinger operator on the square lattice ${\mathbb{Z}}^d$, $d\ge 1$, 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