Paper |
Title |
Page |
WEBX05 |
Scaling laws for space charge resonances
|
268 |
|
- I. Hofmann, G. Franchetti
GSI, Darmstadt
- S.-Y. Lee
IUCF, Bloomington, Indiana
|
|
|
Space charge can be the driving term of nonlinear resonances, like the resonant emittance exchange 2Qx-2Qy=0 ("Montague resonance", in linacs and high-intensity rings), or the fourth-order structure resonance 4Qx=n (high-intensity rings, FFAG's). In this study we present scaling laws to describe the dependence of the expected emittance growth effect on the initial emittances, the tune shift and/or the crossing rate through the resonance.
|
|
WEBX06 |
Analysis of emittance growth in the Fermilab Booster
|
271 |
|
- K. Y. Ng
Fermilab, Batavia, Illinois
- X. Huang
SLAC, Menlo Park, California
- S.-Y. Lee
IUCF, Bloomington, Indiana
|
|
|
Multi-particle similations are performed to study emittance growth in the Fermilab Booster. Analysis shows that the sourcce of the vertical emittance growth comes mostly from random errors in skew quadrupoles as well as the transverse space-charge force. Random errors in the dipole fields and the Montague resonance do contribute but to a much lesser extent. The effect of random errors in the quadrupoles is small because the betatron envelope tunes are resonably far away from the half-integer stopband.
|
|