Error estimates for phaseless inverse scattering in the Born approximation at high energies

TL;DR

This paper derives explicit formulas and error estimates for phaseless inverse scattering in the Born approximation at high energies, specifically for the Schrödinger equation with compactly supported potentials in dimensions two and higher.

Contribution

It provides new explicit formulas and error bounds for phaseless inverse scattering in the high-energy regime within the Born approximation.

Findings

Explicit formulas for phaseless inverse scattering at high energies

Error estimates for these formulas in configuration space

Applicable to Schrödinger equations with compactly supported potentials

Abstract

We study explicit formulas for phaseless inverse scattering in the Born approximation at high energies for the Schr\"odinger equation with compactly supported potential in dimension d $\ge$ 2. We obtain error estimates for these formulas in the configuration space.