Study of Phase-Space Tracking of Injected Particles over 10,000 Turns
Which long-term effects does the simulation include?
What is the effect of including second-order transport matrices?
9 November 2001
JAC
GOAL
Use the phase-space-tracking calculation of the
INJTRACK program over 10,000 turns to see how the injected
bunch evolves. This number of turns is chosen to
exceed the 6500 turns prior to the next injection (inj rep rate of 60 Hz).
The following two collections of plots show the positions in phase space of
500 injected electrons on selected turns from turn 0 to 9999.
The red contours show the 11-sigma and 1-sigma phase-space ellipses of
the stored electron beam. They are calculated using the pre-injection
beam position in phase space and the Twiss parameters from the design optics
with the pretzel off.
Tracking with first-order transport matrices only
Tracking including second-order transport matrices
Conclusions
Even after 10k turns the injected bunch has not damped into the stored orbit.
First-order tracking does not exhibit any divergent behavior.
The increase in phase space is similar for first- and second-order tracking.
Both first-order and second-order tracking appears to reveal beam-wall scraping after many turns.
Creation date: 20 November 2001