000604961 001__ 604961 000604961 005__ 20250715170837.0 000604961 0247_ $$2doi$$a10.1103/PhysRevA.109.033725 000604961 0247_ $$2ISSN$$a2469-9926 000604961 0247_ $$2ISSN$$a2469-9942 000604961 0247_ $$2ISSN$$a2469-9934 000604961 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-01289 000604961 0247_ $$2WOS$$aWOS:001198552200008 000604961 0247_ $$2openalex$$aopenalex:W4393234031 000604961 037__ $$aPUBDB-2024-01289 000604961 041__ $$aEnglish 000604961 082__ $$a530 000604961 1001_ $$0P:(DE-H253)PIP1085353$$aChuchurka, Stasis$$b0$$eCorresponding author 000604961 245__ $$aStochastic modeling of x-ray superfluorescence 000604961 260__ $$aWoodbury, NY$$bInst.$$c2024 000604961 3367_ $$2DRIVER$$aarticle 000604961 3367_ $$2DataCite$$aOutput Types/Journal article 000604961 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1715158995_3532555 000604961 3367_ $$2BibTeX$$aARTICLE 000604961 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000604961 3367_ $$00$$2EndNote$$aJournal Article 000604961 520__ $$aAn approach to modeling the dynamics of x-ray amplified spontaneous emission and superfluorescence, thephenomenon of collective x-ray emission initiated by intense pulses of x-ray free-electron lasers, is developedbased on stochastic partial differential equations. The equations are derived from first principles, and the relevantapproximations, derivation steps, and extensions specific to stimulated x-ray emission are presented. The result-ing equations take the form of three-dimensional generalized Maxwell-Bloch equations augmented with noiseterms for both field and atomic variables. The derived noise terms possess specific correlation properties thatenable the correct reconstruction of spontaneous emission. Consequently, the developed theoretical formalismis universally suitable for describing all stages of stimulated x-ray emission: spontaneous emission, amplifiedspontaneous emission, and superfluorescence. We present numerical examples that illustrate various propertiesof the emitted field, including spatiotemporal coherence and spectral-angular and polarization characteristics.We anticipate that the proposed theoretical framework will establish a robust foundation for interpretingmeasurements in stimulated x-ray emission spectroscopy, modeling x-ray laser oscillators, and describing otherexperiments leveraging x-ray superfluorescence. 000604961 536__ $$0G:(DE-HGF)POF4-631$$a631 - Matter – Dynamics, Mechanisms and Control (POF4-631)$$cPOF4-631$$fPOF IV$$x0 000604961 536__ $$0G:(DE-HGF)2019_IVF-HIDSS-0002$$aHIDSS-0002 - DASHH: Data Science in Hamburg - Helmholtz Graduate School for the Structure of Matter (2019_IVF-HIDSS-0002)$$c2019_IVF-HIDSS-0002$$x1 000604961 542__ $$2Crossref$$i2024-03-27$$uhttps://link.aps.org/licenses/aps-default-license 000604961 542__ $$2Crossref$$i2025-03-27$$uhttps://link.aps.org/licenses/aps-default-accepted-manuscript-license 000604961 588__ $$aDataset connected to CrossRef, Journals: bib-pubdb1.desy.de 000604961 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000604961 7001_ $$0P:(DE-H253)PIP1014628$$aBenediktovitch, Andrei$$b1 000604961 7001_ $$0P:(DE-H253)PIP1031929$$aKrusic, Spela$$b2 000604961 7001_ $$0P:(DE-H253)PIP1101979$$aHalavanau, Alex$$b3 000604961 7001_ $$0P:(DE-H253)PIP1010949$$aRohringer, Nina$$b4$$eCorresponding author$$udesy 000604961 77318 $$2Crossref$$3journal-article$$a10.1103/physreva.109.033725$$bAmerican Physical Society (APS)$$d2024-03-27$$n3$$p033725$$tPhysical Review A$$v109$$x2469-9926$$y2024 000604961 773__ $$0PERI:(DE-600)2844156-4$$a10.1103/PhysRevA.109.033725$$gVol. 109, no. 3, p. 033725$$n3$$p033725$$tPhysical review / A$$v109$$x2469-9926$$y2024 000604961 8564_ $$uhttps://bib-pubdb1.desy.de/record/604961/files/HTML-Approval_of_scientific_publication.html 000604961 8564_ $$uhttps://bib-pubdb1.desy.de/record/604961/files/PDF-Approval_of_scientific_publication.pdf 000604961 8564_ $$uhttps://bib-pubdb1.desy.de/record/604961/files/PhysRevA.109.033725.pdf$$yOpenAccess 000604961 8564_ $$uhttps://bib-pubdb1.desy.de/record/604961/files/PhysRevA.109.033725.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000604961 8564_ $$uhttps://bib-pubdb1.desy.de/record/604961/files/stochastic-modeling-paraxial-superfluorescence___.pdf 000604961 8564_ $$uhttps://bib-pubdb1.desy.de/record/604961/files/stochastic-modeling-paraxial-superfluorescence___.pdf?subformat=pdfa$$xpdfa 000604961 909CO $$ooai:bib-pubdb1.desy.de:604961$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire 000604961 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1085353$$aDeutsches Elektronen-Synchrotron$$b0$$kDESY 000604961 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1014628$$aDeutsches Elektronen-Synchrotron$$b1$$kDESY 000604961 9101_ $$0I:(DE-588)1043621512$$6P:(DE-H253)PIP1014628$$aEuropean XFEL$$b1$$kXFEL.EU 000604961 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1031929$$aExternal Institute$$b2$$kExtern 000604961 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1101979$$aExternal Institute$$b3$$kExtern 000604961 9101_ $$0I:(DE-588)1043621512$$6P:(DE-H253)PIP1101979$$aEuropean XFEL$$b3$$kXFEL.EU 000604961 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1010949$$aDeutsches Elektronen-Synchrotron$$b4$$kDESY 000604961 9101_ $$0I:(DE-588)1043621512$$6P:(DE-H253)PIP1010949$$aEuropean XFEL$$b4$$kXFEL.EU 000604961 9131_ $$0G:(DE-HGF)POF4-631$$1G:(DE-HGF)POF4-630$$2G:(DE-HGF)POF4-600$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$aDE-HGF$$bForschungsbereich Materie$$lVon Materie zu Materialien und Leben$$vMatter – Dynamics, Mechanisms and Control$$x0 000604961 9141_ $$y2024 000604961 915__ $$0StatID:(DE-HGF)1230$$2StatID$$aDBCoverage$$bCurrent Contents - 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