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Beam stability is an essential requirement for particle accelerators. Longitudinal coupled-bunch instabilities (CBI) are driven by beam interaction with long-range wakefields induced in the resonant structures with narrow-band impedance.…

Accelerator Physics · Physics 2023-09-14 Ivan Karpov , Elena Shaposhnikova

The micro-bunching instability is a longitudinal instability that leads to dynamical deformations of the charge distribution in the longitudinal phase space. It affects the longitudinal charge distribution, and thus the emitted coherent…

Accelerator Physics · Physics 2024-01-17 Miriam Brosi

Transverse instability of a bunched beam is investigated with synchrotron oscillations, space charge, and resistive wall wakefield taken into account. Boxcar model is used for all-round analysis, and Gaussian distribution is invoked for…

Accelerator Physics · Physics 2012-01-25 V. Balbekov

In this paper, we study single-bunch instabilities observed in the CERN Super Proton Synchrotron (SPS). According to the linearized Vlasov theory, radial or azimuthal mode-coupling instabilities result from a coupling of bunch-oscillation…

Accelerator Physics · Physics 2023-01-25 Ivan Karpov

We have performed bunch lengthening and microwave instability threshold measurements on the positron ring of the Frascati electron-positron Phi-factory DAPhNE. The results are in a good agreement with earlier analytical predictions and…

Accelerator Physics · Physics 2007-05-23 M. Zobov , A. Drago , A. Gallo , A. Ghigo , F. Marcellini , M. Migliorati , L. Palumbo , M. Serio , G. Vignola

Conditions for the existence, uniqueness and stability of self-consistent bunch steady states are considered. For the existence and uniqueness problems, simple algebraic criteria are derived for both the action and Hamiltonian domain…

Accelerator Physics · Physics 2012-09-14 A. Burov

Conditions for existence, uniqueness and stability of bunch steady states are considered. For the existence uniqueness problem, simple algebraic equations are derived, showing the result both for the action and Hamiltonian domain…

Accelerator Physics · Physics 2012-07-26 A. Burov

Electron accelerators and synchrotrons can be operated to provide short emission pulses due to longitudinally compressed or sub-structured electron bunches. Above a threshold current, the high charge density leads to the micro-bunching…

An analytical model for the self-modulation instability of a long relativistic proton bunch propagating in uniform plasmas is developed. The self-modulated proton bunch resonantly excites a large amplitude plasma wave (wake field), which…

Plasma Physics · Physics 2015-05-18 Naveen Kumar , Alexander Pukhov , Konstantin Lotov

A multi-stream instability is observed experimentally in a longitudinally expanding electron beam in a storage ring. The instability is observed when the beam expands such that its length is several times the circumference of the ring, and…

Plasma Physics · Physics 2019-05-22 B. L. Beaudoin , R. A. Kishek , I. Haber , T. W. Koeth , T. M. Antonsen

Interaction between the bunches in the NLC main linac via long range wakefields can cause a beam breakup instability. Although the magnitude of the long range wakefields for an ideal NLC structure is below the instability threshold, the…

Accelerator Physics · Physics 2007-05-23 G. V. Stupakov

In electron storage rings, it is possible to increase the bunch length by applying phase modulation to the radio frequency accelerating field by choosing appropriate parameters for the modulation. Such a bunch lengthening effect improves…

The J-PARC Main Ring (MR) is a high intensity proton synchrotron, which accelerates protons from 3 GeV to 30 GeV. The MR delivers $2.6\times10^{14}$ protons per pulse, which corresponds to the beam power of 500 kW, to the neutrino…

Accelerator Physics · Physics 2018-06-26 Yasuyuki Sugiyama , Fumihiko Tamura , Masahito Yoshii

Storage ring-based steady-state microbunching (SSMB) is a promising approach for generating high-average-power coherent radiation, while the instabilities driven by coherent undulator radiation in the laser modulator (LM) is important for…

Accelerator Physics · Physics 2026-05-01 Yingjie Dai , Zhuoyuan Liu , Tong Li , Xiujie Deng , Lixin Yan

To understand and control the dynamics in the longitudinal phase space, time-resolved measurements of different bunch parameters are required. For a reconstruction of this phase space, the detector systems have to be synchronized. This…

Longitudinal collective modes of a bunched beam with a repulsive inductive impedance (the space charge below transition or the chamber inductance above it) are analytically described by means of reduction of the linearized Vlasov equation…

Accelerator Physics · Physics 2021-06-16 Alexey Burov

This paper considers the design of observational longitudinal studies with a continuous response and a binary time-invariant exposure, where, typically, the exposure is unbalanced, the mean response in the two groups differs at baseline and…

Methodology · Statistics 2022-09-27 Xavier Basagana , Donna Spiegelman

The stability of interconnected linear time-invariant systems using singular values and the small gain theorem has been studied for many decades. The methods of mu-analysis and synthesis has been extensively developed to provide robustness…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Luke Woolcock , Robert Schmid

Here we will derive the general theory of the beam-breakup instability in recirculating linear accelerators, in which the bunches do not have to be at the same RF phase during each recirculation turn. This is important for the description…

Accelerator Physics · Physics 2009-11-10 Georg H. Hoffstaetter , Ivan V. Bazarov

This is an initial study of the longitudinal, single-bunch stability in the proposed FACET-II e+ damping ring. It is preliminary because many vacuum chamber objects of the ring have not yet been designed.

Accelerator Physics · Physics 2016-11-28 Karl Bane
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