Longitudinal instabilities with a non-harmonic rf potential

Conference · Sat Jan 01 00:00:00 EST 1983

OSTI ID:6443214

Krinsky, S; Wang, J M

We consider the longitudinal instabilities of a bunched beam subject to a non-harmonic rf potential. Assuming the unperturbed bunch to be described by a Maxwell-Boltzmann distribution, our treatment is based upon the linearized Vlasov equation. The formalism developed is exact, and in particular, correctly describes the effect of the dependence on amplitude of the synchrotron oscillation frequency. We discuss the fast blowup limit, and extend Wang and Pellegrini's treatment of the microwave instability to include the case of a non-Gaussian bunch. Next, within the short bunch approximation, we derive the dispersion relation describing the Landau damping of the coupled bunch modes, resulting from the use of a Landau cavity.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6443214
• Report Number(s): BNL-32764; CONF-830311-89; ON: DE83010428
• Resource Relation: Conference: Particle accelerator conference, Santa Fe, NM, USA, 21 Mar 1983
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM BUNCHING
INSTABILITY
ACCELERATORS
BEAM DYNAMICS
BOLTZMANN-VLASOV EQUATION
DISPERSION RELATIONS
EQUATIONS OF MOTION
LANDAU DAMPING
SYNCHROTRON OSCILLATIONS
DAMPING
DIFFERENTIAL EQUATIONS
EQUATIONS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics