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Title: Bunched beam longitudinal instability: Coherent dipole motion

In this paper, the authors present a new formulation for the longitudinal coherent dipole motion, where a quadrature response of the environmental impedance is shown to be the effective longitudinal impedance for the beam instability. The Robinson-Pedersen formulation for the longitudinal dipole motion is also presented, the difference of the two approaches is discussed in the comparison. The results by using the Sacherer integral equation for the coherent dipole motion can generate the same results as by using the other two approaches, except for a scaling difference. The formulation is further generalized to the rigid bunch motion using signal analysis method, where a form factor shows up naturally. Finally, the formulation is applied to solve the coupled bunch instabilities. Examples of the AGS Booster and the AGS coupled bunch instabilities are used to illustrate the applications of the formulation.
Authors:
;
Publication Date:
OSTI Identifier:
10152964
Report Number(s):
BNL--48905; AGS/AD--93-6
ON: DE93013344; TRN: 93:001187
DOE Contract Number:
AC02-76CH00016
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 23 Apr 1993
Research Org:
Brookhaven National Lab., Upton, NY (United States). Alternating Gradient Synchrotron Dept.
Sponsoring Org:
USDOE, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ION BEAMS; SYNCHROTRON OSCILLATIONS; INSTABILITY; MATHEMATICAL MODELS; BROOKHAVEN AGS; BEAM BUNCHING; RF SYSTEMS 430200; 990200; BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS; MATHEMATICS AND COMPUTERS