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Title: Coupling impedance and wake functions for laminated structures with an application to the Fermilab Booster

We calculate the impedance and wake functions for laminated structures with parallel-plane and circular geometries. We critically examine the approximations used in the literature for the coupling impedance in laminated chambers and find that most of them are not justified because the wall surface impedance is large. A comparison between flat and circular geometry impedances is presented. We apply our calculation in a state-of-the-art beam dynamics simulation of the Fermilab Booster which includes nonlinear optics, laminated wakefields, and space charge impedance. The latter can have a significant effect away from the ultrarelativistic limit. Even though the simulations and the comparison with the experiment are done at the Booster injection energy, where the relativistic factor γ = 1.42, we find good agreement between our calculation of the coherent tune shift and recent experimental measurements.
Authors:
 [1] ;  [1] ;  [1] ;  [2] ;  [2]
  1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
  2. Illinois Inst. of Technology, Chicago, IL (United States)
Publication Date:
Report Number(s):
FERMILAB-PUB-11-172-CD
Journal ID: ISSN 1098-4402; PRABFM; TRN: US1103559
Grant/Contract Number:
AC02-07CH11359; AC02-05CH11231; AC02-06CH11357
Type:
Published Article
Journal Name:
Physical Review Special Topics. Accelerators and Beams
Additional Journal Information:
Journal Volume: 14; Journal Issue: 6; Journal ID: ISSN 1098-4402
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; 97 MATHEMATICS AND COMPUTING; APPROXIMATIONS; BEAM DYNAMICS; FERMILAB; GEOMETRY; IMPEDANCE; NONLINEAR OPTICS; SIMULATION; SPACE CHARGE; accelerators; computing
OSTI Identifier:
1099687
Alternate Identifier(s):
OSTI ID: 1019051