Modeling of saw tooth instability in storage rings

Journal Article · Thu Apr 08 00:00:00 EDT 1999 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.58420· OSTI ID:21205336

Dattoli, G; Mezi, L ^[1]; Migliorati, M; Palumbo, L ^[2]

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1. ENEA, Dipartimento Innovazione, Frascati, Rome (Italy)
2. Universita di Roma LA SAPIENZA, Dip. di Energetica, and INFN-LNF (Italy)

Assuming the validity of the Boussard criterion for the determination of the microwave instability threshold, we derive two coupled non linear differential equations which describe the time evolution of the energy spread and of the instability growth rate under different conditions. The equations reproduce the characteristic features of the saw tooth instability and are in agreement with the results of a time domain simulation code.

• OSTI ID: 21205336
• Journal Information: AIP Conference Proceedings, Vol. 468, Issue 1; Conference: 16. Advanced international committee on future accelerators beam dynamics workshop on nonlinear and collective phenomena in beam physics, Arcidosso (Italy), 1-5 Sep 1998; Other Information: DOI: 10.1063/1.58420; (c) 1999 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
BEAM OPTICS
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
INSTABILITY
INSTABILITY GROWTH RATES
MICROWAVE RADIATION
NONLINEAR PROBLEMS
PARTICLE BEAMS
PHASE SPACE
SAWTOOTH OSCILLATIONS
STORAGE RINGS