Iterative X-ray spectroscopic ptychography
Abstract
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 chemicalmore »
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC); Natural Science Foundation of Tianjin; Innovation Project
- OSTI Identifier:
- 1637744
- Alternate Identifier(s):
- OSTI ID: 1650122
- Grant/Contract Number:
- AC02-05CH11231; 11871372; 11501413; 18JCYBJC16600; 043-135202TD1703; 043-135202XC1605; AC03-76SF00098
- Resource Type:
- Published Article
- Journal Name:
- Journal of Applied Crystallography (Online)
- Additional Journal Information:
- Journal Name: Journal of Applied Crystallography (Online) Journal Volume: 53 Journal Issue: 4; Journal ID: ISSN 1600-5767
- Publisher:
- International Union of Crystallography
- Country of Publication:
- Denmark
- Language:
- English
- Subject:
- 47 OTHER INSTRUMENTATION; spectromicroscopy; ptychography
Citation Formats
Chang, Huibin, Rong, Ziqin, Enfedaque, Pablo, and Marchesini, Stefano. Iterative X-ray spectroscopic ptychography. Denmark: N. p., 2020.
Web. doi:10.1107/S1600576720006354.
Chang, Huibin, Rong, Ziqin, Enfedaque, Pablo, & Marchesini, Stefano. Iterative X-ray spectroscopic ptychography. Denmark. https://doi.org/10.1107/S1600576720006354
Chang, Huibin, Rong, Ziqin, Enfedaque, Pablo, and Marchesini, Stefano. Wed .
"Iterative X-ray spectroscopic ptychography". Denmark. https://doi.org/10.1107/S1600576720006354.
@article{osti_1637744,
title = {Iterative X-ray spectroscopic ptychography},
author = {Chang, Huibin and Rong, Ziqin and Enfedaque, Pablo and Marchesini, Stefano},
abstractNote = {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.},
doi = {10.1107/S1600576720006354},
journal = {Journal of Applied Crystallography (Online)},
number = 4,
volume = 53,
place = {Denmark},
year = {Wed Jul 08 00:00:00 EDT 2020},
month = {Wed Jul 08 00:00:00 EDT 2020}
}
https://doi.org/10.1107/S1600576720006354
Web of Science
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