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  Density matrix reconstructions in ultrafast transmission electron microscopy: Uniqueness, stability, and convergence rates

Shi, C., Ropers, C., & Hohage, T. (2020). Density matrix reconstructions in ultrafast transmission electron microscopy: Uniqueness, stability, and convergence rates. Inverse Problems, 36(2): 025005. doi:10.1088/1361-6420/ab539a.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-57A6-8 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-08C1-0
Genre: Journal Article

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Shi_2020_Inverse_Problems_36_025005.pdf (Publisher version), 2MB
 
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 Creators:
Shi, C., Author
Ropers, Claus1, Author                 
Hohage, T., Author
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1Department of Ultrafast Dynamics, MPI for Biophysical Chemistry, Max Planck Society, Göttingen, DE, ou_3371855              

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 Abstract: In the recent paper Priebe et al (2017 Nat. Photon. 11 793–7) the first experimental determination of the density matrix of a free electron beam has been reported. The employed method leads to a linear inverse problem with a positive semidefinite operator as unknown. The purpose of this paper is to complement the experimental and algorithmic results in the work mentioned above by a mathematical analysis of the inverse problem concerning uniqueness, stability, and rates of convergence under different types of a priori information.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1361-6420/ab539a
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Title: Inverse Problems
Source Genre: Journal
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Publ. Info: Bristol : IOP Pub.
Pages: - Volume / Issue: 36 (2) Sequence Number: 025005 Start / End Page: - Identifier: ISSN: 0266-5611
CoNE: https://pure.mpg.de/cone/journals/resource/954925499121