Density Matrix Reconstructions in Ultrafast Transmission Electron Microscopy: Uniqueness, Stability, and Convergence Rates
Analysis of PDEs
2020-02-19 v2
Abstract
In the recent paper [17] 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.
Keywords
Cite
@article{arxiv.1907.03438,
title = {Density Matrix Reconstructions in Ultrafast Transmission Electron Microscopy: Uniqueness, Stability, and Convergence Rates},
author = {Cong Shi and Claus Ropers and Thorsten Hohage},
journal= {arXiv preprint arXiv:1907.03438},
year = {2020}
}