Published February 2001 | Version v1
Report Open

Longitudinal single-bunch instabilities

Creators

  • 1. Rome Univ. La Sapienza, Rome (Italy). Dipt. di Energetica
  • 2. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati, Rome (Italy)

Description

After introducing the concepts of longitudinal wakefield and coupling impedance, it is reviewed the theory of longitudinal single-bunch collective effects in storage rings. From the Fokker-Planck equation it is first derived the stationary solution describing the natural single-bunch regime, and then treat the problem of microwave instability, showing the different approaches used for estimating the threshold current. The lecture is ended with the semi-empirical laws that allow everyone to obtain the single-bunch behaviour above threshold, and with a description of the simulation codes that are now reliable tools for investigating all these effects

Availability note (English)

Available from INIS in electronic form

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Additional details

Publishing Information

Imprint Pagination
31 p.
Report number
LNF-P--01-005

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
33043424
Subject category
S43: PARTICLE ACCELERATORS;
Descriptors DEI
BEAM BUNCHING; FOKKER-PLANCK EQUATION; INSTABILITY; MICROWAVE RADIATION; STORAGE RINGS
Descriptors DEC
BEAM DYNAMICS; DIFFERENTIAL EQUATIONS; DYNAMICS; ELECTROMAGNETIC RADIATION; EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATIONS