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Title: 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}
}

Conference:
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