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Journal Article | PUBDB-2024-01289 |
; ; ; ;
2024
Inst.
Woodbury, NY
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Please use a persistent id in citations: doi:10.1103/PhysRevA.109.033725 doi:10.3204/PUBDB-2024-01289
Abstract: An 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.
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