{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:59:50Z","timestamp":1760237990167,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2020,7,3]],"date-time":"2020-07-03T00:00:00Z","timestamp":1593734400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Imaging"],"abstract":"<jats:p>For imaging events of extremely short duration, like shock waves or explosions, it is necessary to be able to image the object with a single-shot exposure. A suitable setup is given by a laser-induced X-ray source such as the one that can be found at GSI (Helmholtzzentrum f\u00fcr Schwerionenforschung GmbH) in Darmstadt (Society for Heavy Ion Research), Germany. There, it is possible to direct a pulse from the high-energy laser Petawatt High Energy Laser for Heavy Ion eXperiments (PHELIX) on a tungsten wire to generate a picosecond polychromatic X-ray pulse, called backlighter. For grating-based single-shot phase-contrast imaging of shock waves or exploding wires, it is important to know the weighted mean energy of the X-ray spectrum for choosing a suitable setup. In propagation-based phase-contrast imaging the knowledge of the weighted mean energy is necessary to be able to reconstruct quantitative phase images of unknown objects. Hence, we developed a method to evaluate the weighted mean energy of the X-ray backlighter spectrum using propagation-based phase-contrast images. In a first step wave-field simulations are performed to verify the results. Furthermore, our evaluation is cross-checked with monochromatic synchrotron measurements with known energy at Diamond Light Source (DLS, Didcot, UK) for proof of concepts.<\/jats:p>","DOI":"10.3390\/jimaging6070063","type":"journal-article","created":{"date-parts":[[2020,7,3]],"date-time":"2020-07-03T06:51:20Z","timestamp":1593759080000},"page":"63","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Evaluation of the Weighted Mean X-ray Energy for an Imaging System Via Propagation-Based Phase-Contrast Imaging"],"prefix":"10.3390","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3651-7899","authenticated-orcid":false,"given":"Maria","family":"Seifert","sequence":"first","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"given":"Mareike","family":"Weule","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"given":"Silvia","family":"Cipiccia","sequence":"additional","affiliation":[{"name":"Diamond Light Source Ltd., Diamond House, Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0DE, UK"}]},{"given":"Silja","family":"Flenner","sequence":"additional","affiliation":[{"name":"Helmholtz-Zentrum Geesthacht, Max-Planck-Stra\u00dfe 1, 21502 Geesthacht, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2768-9496","authenticated-orcid":false,"given":"Johannes","family":"Hagemann","sequence":"additional","affiliation":[{"name":"DESY, Notkestra\u00dfe 85, 22607 Hamburg, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3711-6958","authenticated-orcid":false,"given":"Veronika","family":"Ludwig","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2960-0611","authenticated-orcid":false,"given":"Thilo","family":"Michel","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2223-0133","authenticated-orcid":false,"given":"Paul","family":"Neumayer","sequence":"additional","affiliation":[{"name":"GSI Helmholtzzentrum f\u00fcr Schwerionenforschung GmbH, Planckstr. 1, 64291 Darmstadt, Germany"}]},{"given":"Max","family":"Schuster","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6847-7540","authenticated-orcid":false,"given":"Andreas","family":"Wolf","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2039-4724","authenticated-orcid":false,"given":"Gisela","family":"Anton","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2012-0080","authenticated-orcid":false,"given":"Stefan","family":"Funk","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8343-8854","authenticated-orcid":false,"given":"Bernhard","family":"Akstaller","sequence":"additional","affiliation":[{"name":"ECAP, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, Erwin-Rommel-Str. 1, 91058 Erlangen, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2020,7,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"056309","DOI":"10.1063\/1.3377785","article-title":"X-ray radiography and scattering diagnosis of dense shock-compressed matter","volume":"17","author":"Neumayer","year":"2010","journal-title":"Phys. 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