Iterative X-ray spectroscopic ptychography

Chang, Huibin; Rong, Ziqin; Enfedaque, Pablo; Marchesini, Stefano

doi:10.1107/S1600576720006354

Title: Iterative X-ray spectroscopic ptychography

Journal Article · Wed Jul 08 00:00:00 EDT 2020 · Journal of Applied Crystallography (Online)

DOI:https://doi.org/10.1107/S1600576720006354· OSTI ID:1637744

Chang, Huibin; Rong, Ziqin; Enfedaque, Pablo;

Spectroscopic ptychography is a powerful technique to determine the chemical composition of a sample with high spatial resolution. In spectro-ptychography, a sample is rastered through a focused X-ray beam with varying photon energy so that a series of phaseless diffraction data are recorded. Each chemical component in the material under investigation has a characteristic absorption and phase contrast as a function of photon energy. Using a dictionary formed by the set of contrast functions of each energy for each chemical component, it is possible to obtain the chemical composition of the material from high-resolution multi-spectral images. This paper presents SPA (spectroscopic ptychography with alternating direction method of multipliers), a novel algorithm to iteratively solve the spectroscopic blind ptychography problem. First, a nonlinear spectro-ptychography model based on Poisson maximum likelihood is designed, and then the proposed method is constructed on the basis of fast iterative splitting operators. SPA can be used to retrieve spectral contrast when considering either a known or an incomplete (partially known) dictionary of reference spectra. By coupling the redundancy across different spectral measurements, the proposed algorithm can achieve higher reconstruction quality when compared with standard state-of-the-art two-step methods. It is demonstrated how SPA can recover accurate chemical maps from Poisson-noised measurements, and its enhanced robustness when reconstructing reduced-redundancy ptychography data using large scanning step sizes is shown.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC); Natural Science Foundation of Tianjin; Innovation Project

Grant/Contract Number:: AC02-05CH11231; 11871372; 11501413; 18JCYBJC16600; 043-135202TD1703; 043-135202XC1605; AC03-76SF00098

OSTI ID:: 1637744

Alternate ID(s):: OSTI ID: 1650122

Journal Information:: Journal of Applied Crystallography (Online), Journal Name: Journal of Applied Crystallography (Online) Vol. 53 Journal Issue: 4; ISSN 1600-5767

Publisher:: International Union of CrystallographyCopyright Statement

Country of Publication:: Denmark

Language:: English

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Cited by: 2 works

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