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
• Subproject of: SFB 755: Nanoscale Photonic Imaging
• Applicant Institution: Georg-August-Universität Göttingen
• Project Heads: Professor Dr. Thorsten Hohage; Professor Dr. David Russell Luke