{"abstract":[{"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.","lang":"eng"}],"date_created":"2026-02-04T06:57:14Z","supervisor":[{"first_name":"Jörg K. N.","last_name":"Lindner","full_name":"Lindner, Jörg K. N.","id":"20797"}],"status":"public","doi":"10.17619/UNIPB/1-2438","main_file_link":[{"open_access":"1"}],"_id":"63856","year":"2025","publication_status":"published","department":[{"_id":"15"}],"user_id":"77368","oa":"1","related_material":{"link":[{"relation":"software","url":"https://doi.org/10.17619/UNIPB/1-2438"}]},"language":[{"iso":"eng"}],"publisher":"Universitätsbibliothek Paderborn","type":"dissertation","date_updated":"2026-02-04T12:28:17Z","title":"A novel Lagrangian-based method for the deconvolution of electron energy-loss spectra","author":[{"id":"77368","full_name":"Zietlow, Christian","orcid":"https://orcid.org/0000-0001-9696-619X","last_name":"Zietlow","first_name":"Christian"}],"citation":{"short":"C. Zietlow, A Novel Lagrangian-Based Method for the Deconvolution of Electron Energy-Loss Spectra, Universitätsbibliothek Paderborn, 2025.","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>.","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>","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>.","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>"}}