SLIDE 6 Previous work Present work Proposed work
Previous work: Examples
Single and multi-bunch dynamics Model the complete RF system to quantify the impact of LLRF noise and technical imperfections in the beam stability and bunch length
Studied RF noise effects on LHC longitudinal beam emittance. Estimated coupled-bunch instability growth rates due to the cavity fundamental as a function of RF/LLRF parameters and beam intensity.
1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 3 3.5 4 4.5
Time (s) Bunch Length (cm)
Data G = 1125 G = 281 G=140 G=0 G=20 G=5
−40 −30 −20 −10 10 20 30 40 10
−5
10
−4
10
−3
10
−2
10
−1
10 10
1
Mode Number Growth Rate |σn| (s−1) Growth Naked Cavity Damping Naked Cavity Growth Direct Loop Damping Direct Loop Growth Direct/Comb On Damping Direct/Comb On
HiLumi meeting, May 2016 6