Iterative X-ray spectroscopic ptychography1

Spectroscopic ptychography is a powerful technique to determine the chemical composition of a sample with high spatial resolution. This paper presents a novel algorithm to iteratively solve the spectroscopic blind ptychography problem.

[1]  J. Rodenburg,et al.  An improved ptychographical phase retrieval algorithm for diffractive imaging. , 2009, Ultramicroscopy.

[2]  Valeria Simoncini,et al.  Computational Methods for Linear Matrix Equations , 2016, SIAM Rev..

[3]  Jun Fang,et al.  Low-Rank Phase Retrieval via Variational Bayesian Learning , 2018, IEEE Access.

[4]  Shoham Sabach,et al.  Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging , 2015, SIAM J. Imaging Sci..

[5]  R. Kronig On the Theory of Dispersion of X-Rays , 1926 .

[6]  Yuping Duan,et al.  Total Variation-Based Phase Retrieval for Poisson Noise Removal , 2018, SIAM J. Imaging Sci..

[7]  Stefan Vogt,et al.  Cluster analysis of soft X-ray spectromicroscopy data. , 2004 .

[8]  S. Marchesini,et al.  Chemical composition mapping with nanometre resolution by soft X-ray microscopy , 2014, Nature Photonics.

[9]  B. L. Henke,et al.  X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92 , 1993 .

[10]  B. C. McCallum,et al.  Resolution beyond the 'information limit' in transmission electron microscopy , 1995, Nature.

[11]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[12]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[13]  A. G. Cullis,et al.  Hard-x-ray lensless imaging of extended objects. , 2007, Physical review letters.

[14]  Raymond H. Chan,et al.  Constrained Total Variation Deblurring Models and Fast Algorithms Based on Alternating Direction Method of Multipliers , 2013, SIAM J. Imaging Sci..

[15]  Manuel Guizar-Sicairos,et al.  Iterative least-squares solver for generalized maximum-likelihood ptychography. , 2018, Optics express.

[16]  Xuecheng Tai,et al.  AUGMENTED LAGRANGIAN METHOD FOR TOTAL VARIATION RESTORATION WITH NON-QUADRATIC FIDELITY , 2011 .

[17]  Pablo Enfedaque,et al.  Partially coherent ptychography by gradient decomposition of the probe. , 2017, Acta crystallographica. Section A, Foundations and advances.

[18]  R. Glowinski,et al.  Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics , 1987 .

[19]  Klaus Giewekemeyer,et al.  Chemical contrast in soft x-ray ptychography. , 2011, Physical review letters.

[20]  D. Koningsberger,et al.  X-ray absorption : principles, applications, techniques of EXAFS, SEXAFS and XANES , 1988 .

[21]  Sven Leyffer,et al.  Joint ptycho-tomography reconstruction through alternating direction method of multipliers. , 2019, Optics express.

[22]  J. Rodenburg,et al.  A phase retrieval algorithm for shifting illumination , 2004 .

[23]  Yonina C. Eldar,et al.  Low-Rank Phase Retrieval , 2016, IEEE Transactions on Signal Processing.

[24]  A. Mccarn,et al.  Accurate and facile determination of the index of refraction of organic thin films near the carbon 1s absorption edge. , 2013, Physical review letters.

[25]  Paul E. Johnson,et al.  Spectral mixture modeling: A new analysis of rock and soil types at the Viking Lander 1 Site , 1986 .

[26]  Andreas Menzel,et al.  Probe retrieval in ptychographic coherent diffractive imaging. , 2009, Ultramicroscopy.

[27]  Antonin Chambolle,et al.  A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging , 2011, Journal of Mathematical Imaging and Vision.

[28]  Pablo Enfedaque,et al.  Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers , 2018, SIAM J. Imaging Sci..

[29]  Yukio Takahashi,et al.  Use of Kramers-Kronig relation in phase retrieval calculation in X-ray spectro-ptychography. , 2017, Optics express.

[30]  H. Chapman Phase-retrieval X-ray microscopy by Wigner-distribution deconvolution , 1996 .