Three-dimensional magnetization reconstruction from electron optical phase images with physical constraints  

作　　者：Boyao Lyu Shihua Zhao Yibo Zhang Weiwei Wang Fengshan Zheng Rafal E.Dunin-Borkowski Jiadong Zang Haifeng Du 

机构地区：[1]Anhui Province Key Laboratory of Low-Energy Quantum Materials and Devices,High Magnetic Field Laboratory,Hefei Institutes of Physical Science,Chinese Academy of Sciences,Hefei 230031,China [2]Science Island Branch,Graduate School of University of Science and Technology of China,Hefei 230026,China [3]Department of Physics and Astronomy,University of New Hampshire,Durham 03824,USA [4]Department of Physics,The City College of New York,New York 10031,USA [5]Physics Program,Graduate Center of the City University of New York,New York 10016,USA [6]Department of Chemistry,University of New Hampshire,Durham 03824,USA [7]Institutes of Physical Science and Information Technology,Anhui University,Hefei 230601,China [8]Spin-X Institute,Center for Electron Microscopy,School of Physics and Optoelectronics,State Key Laboratory of Luminescent Materials and Devices,Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials,South China University of Technology,Guangzhou 511442,China [9]Ernst Ruska-Centre for Microscopy and Spectroscopy with Electrons,Forschungszentrum Jülich,Jülich 52425,Germany

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第11期122-132,共11页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Key R&D Program of China(Grant No.2022YFA1403603);the National Natural Science Funds for Distinguished Young Scholars(Grant No.52325105);the National Natural Science Foundation of China(Grant Nos.12241406,52173215,and 12374098);the CAS Project for Young Scientists in Basic Research(Grant No.YSBR-084);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB33030100);the Chinese Academy of Sciences(Grant No.JZHKYPT-2021-08);supported by the Office of Basic Energy Sciences,Division of Materials Sciences and Engineering,U.S.Department of Energy(Grant No.DESC0020221);financial support from Fundamental Research Funds for the Central Universities;the National Natural Science Fund for Excellent Young Scientists Fund Program(Overseas)and the General Program(Grant No.52373226);the Xiaomi Young Talents Program;funding from the European Research Council under the European Union’s Horizon 2020 Research and Innovation Programme(Grant No.856538);the Deutsche Forschungsgemeinschaft(Grant Nos.405553726,and 403502830)。

摘　　要：The ability to characterize three-dimensional(3D)magnetization distributions in nanoscale magnetic materials and devices is essential to fully understand their static and dynamic magnetic properties.Phase contrast techniques in the transmission electron microscope(TEM),such as electron holography and electron ptychography,can be used to record two-dimensional(2D)projections of the in-plane magnetic induction of 3D nanoscale objects.Although the 3D magnetic induction can in principle be reconstructed from one or more tilt series of such 2D projections,conventional tomographic reconstruction algorithms do not recover the 3D magnetization within a sample directly.Here,we use simulations to describe the basis of an improved model-based algorithm for the tomographic reconstruction of a 3D magnetization distribution from one or more tilt series of electron optical phase images recorded in the TEM.The algorithm allows a wide range of physical constraints,including a priori information about the sample geometry and magnetic parameters,to be specified.It also makes use of minimization of the micromagnetic energy in the loss function.We demonstrate the reconstruction of the 3D magnetization of a localized magnetic soliton—a hopfion ring—and discuss the influence of noise,choice of magnetic constants,maximum tilt angle and number of tilt axes on the result.The algorithm can in principle be adapted for other magnetic contrast imaging techniques in the TEM,as well as for other magnetic characterization techniques,such as those based on X-rays or neutrons.

关 键 词：three-dimensional magnetization vector field tomography differentiable programming electron holography MICROMAGNETISM 

分 类 号：O439[机械工程—光学工程] TP391.41[理学—光学]