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Theoretical formulation of phase space microbunching instability in the presence of intrabeam scattering for single-pass or recirculation accelerators

Tsai, Cheng Ying ; Qin, Weilun LU ; Fan, Kuanjun ; Wang, Xiaofan ; Wu, Juhao and Zhou, Guanqun (2020) In Physical Review Accelerators and Beams 23(12).
Abstract

Microbunching instability (MBI) has been one of the most challenging issues in designs of high-brightness beam transport lines for single-pass or recirculating accelerators. Although the intrabeam scattering (IBS) has long been studied in lepton or hadron storage rings as a slow diffusion process or in high-intensity proton linear accelerators as one mechanism for the beam halo, the effects of IBS on single-pass or recirculating electron accelerators have drawn attention only in the recent two decades due to emergence of linac-based or energy-recovery-linac-based fourth-generation light sources, which require high-quality electron beams during the beam transport. In this paper we develop a theoretical formulation of microbunching... (More)

Microbunching instability (MBI) has been one of the most challenging issues in designs of high-brightness beam transport lines for single-pass or recirculating accelerators. Although the intrabeam scattering (IBS) has long been studied in lepton or hadron storage rings as a slow diffusion process or in high-intensity proton linear accelerators as one mechanism for the beam halo, the effects of IBS on single-pass or recirculating electron accelerators have drawn attention only in the recent two decades due to emergence of linac-based or energy-recovery-linac-based fourth-generation light sources, which require high-quality electron beams during the beam transport. In this paper we develop a theoretical formulation of microbunching instability in the presence of IBS for single-pass or recirculation accelerators. To quantify MBI with inclusion of IBS, we start from the Vlasov-Fokker-Planck (VFP) equation, combining both collective interactions and incoherent IBS effects. The linearized VFP equation and the corresponding friction and diffusion coefficients are derived. The evolutions of the resultant density and energy modulations are formulated as a set of coupled integral equations. The theoretical formulation is then applied to a recirculating beamline design. The results from the semianalytical calculation are compared and show good agreement with massive particle tracking simulations.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Accelerators and Beams
volume
23
issue
12
article number
124401
publisher
American Physical Society
external identifiers
  • scopus:85098564063
ISSN
2469-9888
DOI
10.1103/PhysRevAccelBeams.23.124401
language
English
LU publication?
yes
id
7357425d-cd6e-4b53-8b1d-47fba65ad740
date added to LUP
2021-01-15 08:59:22
date last changed
2022-04-26 23:35:00
@article{7357425d-cd6e-4b53-8b1d-47fba65ad740,
  abstract     = {{<p>Microbunching instability (MBI) has been one of the most challenging issues in designs of high-brightness beam transport lines for single-pass or recirculating accelerators. Although the intrabeam scattering (IBS) has long been studied in lepton or hadron storage rings as a slow diffusion process or in high-intensity proton linear accelerators as one mechanism for the beam halo, the effects of IBS on single-pass or recirculating electron accelerators have drawn attention only in the recent two decades due to emergence of linac-based or energy-recovery-linac-based fourth-generation light sources, which require high-quality electron beams during the beam transport. In this paper we develop a theoretical formulation of microbunching instability in the presence of IBS for single-pass or recirculation accelerators. To quantify MBI with inclusion of IBS, we start from the Vlasov-Fokker-Planck (VFP) equation, combining both collective interactions and incoherent IBS effects. The linearized VFP equation and the corresponding friction and diffusion coefficients are derived. The evolutions of the resultant density and energy modulations are formulated as a set of coupled integral equations. The theoretical formulation is then applied to a recirculating beamline design. The results from the semianalytical calculation are compared and show good agreement with massive particle tracking simulations.</p>}},
  author       = {{Tsai, Cheng Ying and Qin, Weilun and Fan, Kuanjun and Wang, Xiaofan and Wu, Juhao and Zhou, Guanqun}},
  issn         = {{2469-9888}},
  language     = {{eng}},
  number       = {{12}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Accelerators and Beams}},
  title        = {{Theoretical formulation of phase space microbunching instability in the presence of intrabeam scattering for single-pass or recirculation accelerators}},
  url          = {{http://dx.doi.org/10.1103/PhysRevAccelBeams.23.124401}},
  doi          = {{10.1103/PhysRevAccelBeams.23.124401}},
  volume       = {{23}},
  year         = {{2020}},
}