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Title: Transverse beam dynamics in non-linear Fixed Field Alternating Gradient accelerators

In this paper, we present some aspects of the transverse beam dynamics in Fixed Field Ring Accelerators (FFRA): we start from the basic principles in order to derive the linearized transverse particle equations of motion for FFRA, essentially FFAGs and cyclotrons are considered here. This is a simple extension of a previous work valid for linear lattices that we generalized by including the bending terms to ensure its correctness for FFAG lattice. The space charge term (contribution of the internal coulombian forces of the beam) is contained as well, although it is not discussed here. The emphasis is on the scaling FFAG type: a collaboration work is undertaken in view of better understanding the properties of the 150 MeV scaling FFAG at KURRI in Japan, and progress towards high intensity operation. Some results of the benchmarking work between different codes are presented. Analysis of certain type of field imperfections revealed some interesting features about this machine that explain some of the experimental results and generalize the concept of a scaling FFAG to a non-scaling one for which the tune variations obey a well-defined law.
Authors:
 [1] ;  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
OSTI Identifier:
1244213
Report Number(s):
BNL--111931-2016-IR
R&D Project: KBCH139; KB0202011; TRN: US1601041
DOE Contract Number:
SC00112704
Resource Type:
Technical Report
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; BEAM DYNAMICS; ISOCHRONOUS CYCLOTRONS; EQUATIONS OF MOTION; SCALING LAWS; MEV RANGE 100-1000; NONLINEAR PROBLEMS; SPACE CHARGE; BENCHMARKS; OPERATION; RINGS; VARIATIONS; COULOMB FIELD; MAGNETIC FIELDS; ERRORS; TUNING