Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions

Abstract

We consider phaseless inverse scattering for the Schrödinger equation with compactly supported potential in dimension $d\ge 2$. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.

References in corpus (3)

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• On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity
• Reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrodinger equation

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