Single Bunch Monopole Instability
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 Schroedinger-like equation which is subsequently analyzed by perturbation theory. We show that the Haissinski solution [3] may become unstable with respect to monopole oscillations and derive a stability criterion in terms of the ring impedance.
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 878445
- Report Number(s):
- SLAC-PUB-11475
TRN: US0602386
- DOE Contract Number:
- AC02-76SF00515
- Resource Type:
- Conference
- Resource Relation:
- Conference: Contributed to IEEE Particle Accelerator Conference (PAC 99), New York, 29 Mar - 2 Apr 1999
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS; ACCELERATORS; BOLTZMANN-VLASOV EQUATION; ELECTRONS; FOKKER-PLANCK EQUATION; IMPEDANCE; INSTABILITY; MONOPOLES; OSCILLATIONS; PERTURBATION THEORY; STABILITY; STORAGE RINGS; OTHER
Citation Formats
Podobedov, B, Heifets, S, and /SLAC. Single Bunch Monopole Instability. United States: N. p., 2005.
Web.
Podobedov, B, Heifets, S, & /SLAC. Single Bunch Monopole Instability. United States.
Podobedov, B, Heifets, S, and /SLAC. 2005.
"Single Bunch Monopole Instability". United States. https://www.osti.gov/servlets/purl/878445.
@article{osti_878445,
title = {Single Bunch Monopole Instability},
author = {Podobedov, B and Heifets, S and /SLAC},
abstractNote = {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 Schroedinger-like equation which is subsequently analyzed by perturbation theory. We show that the Haissinski solution [3] may become unstable with respect to monopole oscillations and derive a stability criterion in terms of the ring impedance.},
doi = {},
url = {https://www.osti.gov/biblio/878445},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Sep 12 00:00:00 EDT 2005},
month = {Mon Sep 12 00:00:00 EDT 2005}
}
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