TY  - JOUR
AU  - Negi, Ankita
AU  - Lohse, Leon Merten
AU  - Velten, Sven
AU  - Sergeev, Ilya
AU  - Leupold, Olaf
AU  - Sadashivaiah, Sakshath
AU  - Bessas, Dimitrios
AU  - Chumakov, Aleksandr
AU  - Brandt, Christina
AU  - Bocklage, Lars
AU  - Meier, Guido
AU  - Roehlsberger, Ralf
TI  - Energy Time Ptychography for one-dimensional Phase Retrieval
JO  - Optica
VL  - 12
IS  - 9
SN  - 2334-2536
CY  - Washington, DC
PB  - Optica
M1  - PUBDB-2025-01379
SP  - 1529 - 1538
PY  - 2025
N1  - This article has been published.
AB  - Phase retrieval is at the heart of adaptive optics and modern high-resolution imaging. Without phase information, optical systems are limited to intensity-only measurements, hindering full reconstruction of object structures and wavefront dynamics essential for advanced applications. Here, we address a one-dimensional phase problem linking energy and time, which arises in X-ray scattering from ultrasharp nuclear resonances. We leverage the Mössbauer effect, where nuclei scatter radiation without energy loss to the lattice and are sensitive to their magneto-chemical environments. Rather than using traditional spectroscopy with radioactive gamma-ray sources, we measure nuclear forward scattering of synchrotron X-ray pulses in the time domain, providing superior sensitivity and faster data acquisition. Extracting spectral information from a single measurement is challenging due to the missing phase information, typically requiring extensive modeling. Instead, we use multiple energetically overlapping measurements to retrieve both the transmission spectrum and the phase of the scattering response, similar to ptychographic phase retrieval in imaging. Our robust approach can overcome the bandwidth limitations of gamma-ray sources, opening new research directions, to the best of our knowledge, with modern X-ray sources and Mössbauer isotopes.
LB  - PUB:(DE-HGF)16
DO  - DOI:10.1364/OPTICA.568949
UR  - https://bib-pubdb1.desy.de/record/626387
ER  -