Single bunch monopole instability

Author

Podobedov, Boris ; Heifets, Sam

Author_Institution

Linear Accel. Center, Stanford Univ., CA, USA

Volume

3

fYear

1999

fDate

1999

Firstpage

1665

Abstract

We study single bunch stability with respect to monopole longitudinal oscillations in electron storage rings. Our analysis is different from the standard approach based on the linearized Vlasov equation. Rather, we reduce the full nonlinear Fokker-Planck equation to a Schrodinger-like equation which is subsequently analyzed by perturbation theory. We show that the Haissinski solution (1973) may become unstable with respect to monopole oscillations and derive a stability criterion in terms of the ring impedance

Keywords

Fokker-Planck equation; electron accelerators; particle beam bunching; particle beam stability; perturbation theory; storage rings; Schrodinger-like equation; electron storage rings; full nonlinear Fokker-Planck equation; monopole longitudinal oscillations; monopole oscillations; perturbation theory; ring impedance; single bunch monopole instability; single bunch stability; stability criterion; Differential equations; Electrons; Impedance; Linear accelerators; Nonlinear equations; Potential well; Stability criteria; Stochastic processes; Storage rings; Synchrotron radiation;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1999. Proceedings of the 1999

Conference_Location

New York, NY

Print_ISBN

0-7803-5573-3

Type

conf

DOI

10.1109/PAC.1999.794215

Filename

794215