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Figure 7
For the SDLS lattice (Raimondi et al., 2023BB27) with harmonic 2000 and electron beam energy 5 GeV, regarding the first cascaded EEHG beamline, (a) total energy modulation ΔEtot, (b) prebunching bn and (c) required seed laser power of stage 1 as a function of A1. The required seed laser power of stage 2, normalized energy modulation A2 and momentum compaction of chicane 2 stay nearly constant at 0.153 MW, 0.149 and −483 µm, respectively, despite the variation of A1. Similarly, for the second cascaded EEHG beamline, (d) total energy modulation ΔEtot, (e) prebunching bn and (f) required seed laser power of stage 1 as a function of A1. The required seed laser power of stage 2, normalized energy modulation A2 and momentum compaction of chicane 2 are 71.5 MW, 0.548 and −4.83 µm, respectively. Based on the quadratically scaling relationship (Yang et al., 2022aBB45,bBB43), radiator 1 needs to be 6.2 m long in order to produce the required CR power [[23.5\,{\rm{MW}} \times (6.2\,{\rm{m}}/3.5\,{\rm{m}})^2] ≃ 74 MW] for seeding.

Journal logoJOURNAL 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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