Toward a fully coherent tender and hard X-ray free-electron laser via cascaded EEHG in fourth-generation synchrotron light sources

Yang, X.; Yu, L.H.; Smaluk, V.; Shaftan, T.; Huang, X.

doi:10.1107/S1600577523006586

Figure 8
Regarding the cascaded EEHG with harmonic 2000 and I_peak = 200 A, the radiator-2 is set to lase in the fundamental with an undulator period of 10 mm when the averaged β_x,y = 2 m, (a) the peak power as a function of the undulator distance is shown for the optimal detuning K_u,helical = 1.1774 (red), unoptimized detuning-1 K_u,helical = 1.1773 (black) and detuning-2 K_u,helical = 1.775 (blue). (b) The peak power as a function of the undulator distance for the optimal detuning K_u,helical = 1.1774 can be fitted quadratically with the undulator distance up to 38 m. (c) RMS energy spread as a function of the undulator distance is shown for those three cases, K_u,helical = 1.1774 (red), 1.1773 (black) and 1.775 (blue). Similarly, for β_x,y = 5 m, (d) the peak power as a function of the undulator distance is shown for optimal detuning K_u,helical = 1.1770 (black) and K_u,helical = 1.1771 (red) and unoptimized detuning K_u,helical = 1.772 (blue). (e) The peak power as a function of the undulator distance for the optimal detuning K_u,helical = 1.1770 can be fitted quadratically with the undulator distance up to 38 m. (f) RMS energy spread as a function of the undulator distance is shown for the three cases K_u,helical = 1.1770 (black), 1.1771 (red) and 1.772 (blue).

JOURNAL OF
SYNCHROTRON
RADIATION

ISSN: 1600-5775

Volume 30| Part 5| September 2023| Pages 861-875

https://doi.org/10.1107/S1600577523006586

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