23–28 Aug 2026
America/Los_Angeles timezone

Recalculation of brilliance of x-ray sources via Lambert function for SASE FELs

WEP45
26 Aug 2026, 17:00
1h
Poster Presentation Session 3: FEL theory and Machine Learning Wednesday Poster Session

Speaker

Simone Di Mitri (Elettra-Sincrotrone Trieste S.C.p.A.)

Description

An update version of the brilliance plot in units of 0.01% relative bandwidth is proposed, including most recent planned and running 4th generation multi-bend storage ring light sources. It is then shown that, in order to match experimental and simulated data, the calculation has to take into consideration a non-uniform electron current profile in self-amplified spontaneous emission, and the scaling of the light pulse duration with the harmonic jump in seeded architectures. The calculation of brilliance for free-electron lasers is conducted through a newfound expression for the power saturation length, which highlights its dependence on the number of cooperating electrons via the so-called Lambert function, providing an exact value in place of well-known but semi-quantitative estimations reported in the literature.

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Author

Simone Di Mitri (Elettra-Sincrotrone Trieste S.C.p.A.)

Co-author

Mr Federico Elisii (University of Trieste)

Presentation materials

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