Inverse scattering problems without phase
(C02)
Subject Area
Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas
Term
from 2007 to 2019
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 28586557
This project concerns the mathematical theory of, and algorithms for inverse problems in x-ray physics involving measurements of the amplitude, but not the phase of the field. We treat these problems as nonlinear ill-posed operator equations or as non-convex optimization or feasibility problems. In particular, we will study tomographic phase contrast imaging and ptychography, exploiting the special structure of these problems to achieve close to optimal reconstruction within reasonable computation times.
DFG Programme
Collaborative Research Centres
