Title: Ultrafast Bragg coherent diffraction imaging of epitaxial thin films using deep complex-valued neural networks

Journal Article · · npj Computational Materials
ORCiD logo; ORCiD logo; ORCiD logo; ; ; ORCiD logo; ; ; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ; ORCiD logo; ; ORCiD logo; ; ORCiD logo; ; ORCiD logo more »; ; ; ; ORCiD logo; ; ORCiD logo « less

Abstract Domain wall structures form spontaneously due to epitaxial misfit during thin film growth. Imaging the dynamics of domains and domain walls at ultrafast timescales can provide fundamental clues to features that impact electrical transport in electronic devices. Recently, deep learning based methods showed promising phase retrieval (PR) performance, allowing intensity-only measurements to be transformed into snapshot real space images. While the Fourier imaging model involves complex-valued quantities, most existing deep learning based methods solve the PR problem with real-valued based models, where the connection between amplitude and phase is ignored. To this end, we involve complex numbers operation in the neural network to preserve the amplitude and phase connection. Therefore, we employ the complex-valued neural network for solving the PR problem and evaluate it on Bragg coherent diffraction data streams collected from an epitaxial La 2-x Sr x CuO 4 (LSCO) thin film using an X-ray Free Electron Laser (XFEL). Our proposed complex-valued neural network based approach outperforms the traditional real-valued neural network methods in both supervised and unsupervised learning manner. Phase domains are also observed from the LSCO thin film at an ultrafast timescale using the complex-valued neural network.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States); Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Organization:
Gordon and Betty Moore Foundation (GBMF); National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
AC02-06CH11357; FG02-04ER46147; SC0012704
OSTI ID:
2283107
Report Number(s):
BNL--225260-2024-JAAM; 24; PII: 1208
Journal Information:
npj Computational Materials, Journal Name: npj Computational Materials Journal Issue: 1 Vol. 10; ISSN 2057-3960
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (39)

U-Net: Convolutional Networks for Biomedical Image Segmentation
  • Ronneberger, Olaf; Fischer, Philipp; Brox, Thomas
  • Medical Image Computing and Computer-Assisted Intervention – MICCAI 2015: 18th International Conference, Munich, Germany, October 5-9, 2015, Proceedings, Part III https://doi.org/10.1007/978-3-319-24574-4_28
book November 2015
Phase recovery, MaxCut and complex semidefinite programming journal December 2013
Domain Texture of the Orthorhombic Phase of La2−xBaxCuO4 journal August 2019
Analytical theory of intensity fluctuations in SASE journal April 1998
A New Microscopic Principle journal May 1948
Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens journal July 1999
Phase recovery and holographic image reconstruction using deep learning in neural networks journal October 2017
Spontaneous breaking of rotational symmetry in copper oxide superconductors journal July 2017
Conduction at domain walls in oxide multiferroics journal January 2009
Stress breaks universal aging behavior in a metallic glass journal November 2019
Three-dimensional coherent X-ray diffraction imaging via deep convolutional neural networks journal October 2021
AutoPhaseNN: unsupervised physics-aware deep learning of 3D nanoscale Bragg coherent diffraction imaging journal June 2022
Real-time coherent diffraction inversion using deep generative networks journal November 2018
AI-enabled high-resolution scanning coherent diffraction imaging journal July 2020
X-ray diffraction from low-dimensional structures journal November 1993
Electrical-Resistivity Model for Polycrystalline Films: the Case of Arbitrary Reflection at External Surfaces journal February 1970
X-Ray Intensity Fluctuation Spectroscopy Observations of Critical Dynamics in Fe3Al journal March 1995
Movable Aperture Lensless Transmission Microscopy: A Novel Phase Retrieval Algorithm journal July 2004
Domain fluctuations in a ferroelectric low-strain BaTiO 3 thin film journal November 2020
Domain wall nanoelectronics journal February 2012
Materials Imaging and Dynamics (MID) instrument at the European X-ray Free-Electron Laser Facility journal February 2021
Complex imaging of phase domains by deep neural networks journal January 2021
Deep Ptych: Subsampled Fourier Ptychography Using Generative Priors conference May 2019
Ptychnet: CNN based fourier ptychography conference September 2017
Phase Retrieval via Wirtinger Flow: Theory and Algorithms journal April 2015
PhaseMax: Convex Phase Retrieval via Basis Pursuit journal April 2018
DOLPHIn—Dictionary Learning for Phase Retrieval journal December 2016
Phase Retrieval via Matrix Completion journal January 2015
Incommensurate Lattice Distortion in the High Temperature Tetragonal Phase of La 2- x (Sr,Ba) x CuO 4 journal July 2006
Grain Growth in Thin Films journal August 1990
Phase retrieval algorithms: a comparison journal January 1982
Schulz-Snyder Phase Retrieval Algorithm as an Alternating Minimization Algorithm conference January 2011
Phase retrieval via spatial light modulator phase modulation in 4f optical setup: numerical inverse imaging with sparse regularization for phase and amplitude journal December 2011
Ptychographic characterisation of polymer compound refractive lenses manufactured by additive technology journal January 2019
Deep neural networks in single-shot ptychography journal January 2020
Recovering the phase and amplitude of X-ray FEL pulses using neural networks and differentiable models journal January 2021
Reconstruction of an object from the modulus of its Fourier transform journal January 1978
Lensless computational imaging through deep learning journal January 2017
Adam: A Method for Stochastic Optimization preprint January 2014