Nuclear phase retrieval spectroscopy using resonant x-ray scattering

Ziyang Yuan, Hongxia Wang, Zhiwei Li, Tao Wang, Hui Wang, Xinchao Huang, Tianjun Li, Ziru Ma, Linfan Zhu, Wei Xu, Yujun Zhang, Yu Chen, Ryo Masuda, Yoshitaka Yoda, Jianmin Yuan, Adriana Pálffy () and Xiangjin Kong ()
Additional contact information
Ziyang Yuan: Fudan University
Hongxia Wang: National University of Defense Technology
Zhiwei Li: Lanzhou University
Tao Wang: Lanzhou University
Hui Wang: Lanzhou University
Xinchao Huang: University of Science and Technology of China
Tianjun Li: University of Science and Technology of China
Ziru Ma: University of Science and Technology of China
Linfan Zhu: University of Science and Technology of China
Wei Xu: Chinese Academy of Sciences
Yujun Zhang: Chinese Academy of Sciences
Yu Chen: Chinese Academy of Sciences
Ryo Masuda: Hirosaki University
Yoshitaka Yoda: Japan Synchrotron Radiation Research Institute
Jianmin Yuan: Jilin University
Adriana Pálffy: Institute of Theoretical Physics and Astrophysics
Xiangjin Kong: Fudan University

Nature Communications, 2025, vol. 16, issue 1, 1-10

Abstract: Abstract Light-matter interaction is exploited in spectroscopic techniques to access information about molecular, atomic or nuclear constituents of a sample. While scattered light carries both amplitude and phase information of the electromagnetic field, the latter is lost in intensity measurements. However, often the phase information is paramount to reconstruct the desired information of the target, as it is well known from coherent x-ray imaging. Here we introduce a phase retrieval method which allows us to reconstruct the field phase information from two-dimensional time- and energy-resolved spectra. We apply this method to the case of x-ray scattering off Mössbauer nuclei at a synchrotron radiation source. Knowledge of the phase allows also for the reconstruction of energy spectra from two-dimensional experimental data sets with excellent precision, without theoretical modelling of the sample. Our approach provides an efficient and accurate data analysis tool which will benefit x-ray quantum optics and Mössbauer spectroscopy with synchrotron radiation alike.

Date: 2025
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DOI: 10.1038/s41467-025-58396-z

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