---
_id: '63856'
abstract:
- lang: eng
  text: Electron energy-loss spectroscopy (EELS) is an advanced analytical technique
    in transmission electron microscopy, as it provides insights into material characteristics,
    such as electronic properties or elemental composition, at the atomic scale. The
    precision of every EELS analysis, however, is inherently limited by noises and
    blur. This thesis offers a comprehensive understanding of the noise, which is
    particularly valuable at low dwell times necessary for beam sensitive materials
    and for electron-matter interactions with low frequency of occurrence, where the
    noise dominates the measurement. Additionally, correlations encountered in the
    noise of an EELS measurement are described from both a theoretical and experimental
    perspective. These correlations are caused by a convolution of the noisy signal
    with the detector point spread function. Methods for characterizing key noise
    parameters of typical detectors are described, allowing the noise model to be
    tailored to any EELS detector. Ultimately, a novel deconvolution method enabling
    significant sharpening and denoising of EELS measurements is introduced and demonstrated.
    Its efficiency is further validated on both simulation and experimental data.
    The described advancement offered by the proposed deconvolution method enables
    the extension of current electron microscope capabilities, facilitating analysis
    that would be unfeasible with existing deconvolution techniques.
author:
- first_name: Christian
  full_name: Zietlow, Christian
  id: '77368'
  last_name: Zietlow
  orcid: https://orcid.org/0000-0001-9696-619X
citation:
  ama: Zietlow C. <i>A Novel Lagrangian-Based Method for the Deconvolution of Electron
    Energy-Loss Spectra</i>. Universitätsbibliothek Paderborn; 2025. doi:<a href="https://doi.org/10.17619/UNIPB/1-2438">10.17619/UNIPB/1-2438</a>
  apa: Zietlow, C. (2025). <i>A novel Lagrangian-based method for the deconvolution
    of electron energy-loss spectra</i>. Universitätsbibliothek Paderborn. <a href="https://doi.org/10.17619/UNIPB/1-2438">https://doi.org/10.17619/UNIPB/1-2438</a>
  bibtex: '@book{Zietlow_2025, title={A novel Lagrangian-based method for the deconvolution
    of electron energy-loss spectra}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-2438">10.17619/UNIPB/1-2438</a>},
    publisher={Universitätsbibliothek Paderborn}, author={Zietlow, Christian}, year={2025}
    }'
  chicago: Zietlow, Christian. <i>A Novel Lagrangian-Based Method for the Deconvolution
    of Electron Energy-Loss Spectra</i>. Universitätsbibliothek Paderborn, 2025. <a
    href="https://doi.org/10.17619/UNIPB/1-2438">https://doi.org/10.17619/UNIPB/1-2438</a>.
  ieee: C. Zietlow, <i>A novel Lagrangian-based method for the deconvolution of electron
    energy-loss spectra</i>. Universitätsbibliothek Paderborn, 2025.
  mla: Zietlow, Christian. <i>A Novel Lagrangian-Based Method for the Deconvolution
    of Electron Energy-Loss Spectra</i>. Universitätsbibliothek Paderborn, 2025, doi:<a
    href="https://doi.org/10.17619/UNIPB/1-2438">10.17619/UNIPB/1-2438</a>.
  short: C. Zietlow, A Novel Lagrangian-Based Method for the Deconvolution of Electron
    Energy-Loss Spectra, Universitätsbibliothek Paderborn, 2025.
date_created: 2026-02-04T06:57:14Z
date_updated: 2026-02-04T12:28:17Z
department:
- _id: '15'
doi: 10.17619/UNIPB/1-2438
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
publication_status: published
publisher: Universitätsbibliothek Paderborn
related_material:
  link:
  - relation: software
    url: https://doi.org/10.17619/UNIPB/1-2438
status: public
supervisor:
- first_name: Jörg K. N.
  full_name: Lindner, Jörg K. N.
  id: '20797'
  last_name: Lindner
title: A novel Lagrangian-based method for the deconvolution of electron energy-loss
  spectra
type: dissertation
user_id: '77368'
year: '2025'
...