Driven response of the synchrotron motion of a beam

Ellison, M.; Ball, M.; Brabson, B.; Budnick, J. I.; Caussyn, D.D.; Chao, Alexander W.; Collins, John C.; Curtis, Scott; Derenchuk, V.; Dutt, S.; East, G.; Ellison, T.; Friesel, D.L.; Gabella, W.; Hamilton, B.; Huang, H.; Jones, W. P.; Lamble, W.; Lee, S. Y.; Li, D.; Minty, M.; Nagaitsev, Sergei; Ng, K.Y.; Pei, X.; Rondeau, G.; Sloan, T.; Syphers, M.; Tepikian, S.; Yan, Yunxiang; Zhang, P. L.

doi:10.1103/physrevlett.70.591

Cited by 61 publications

(19 citation statements)

References 6 publications

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“…The result is equivalent to that of rf phase modulation on synchrotron motion [3]. Recently, experimental measurements of the beam response due to the rf phase modulation have been reported [4]. Although our preliminary data analysis was shown to agree well with single particle tracking calculations, data analysis based on a Hamiltonian formulation was missing.…”

Section: Introductionmentioning

confidence: 63%

Experimental determination of the Hamiltonian for synchrotron motion with rf phase modulation

Huang¹,

Ball²,

Brabson³

et al. 1993

Phys. Rev. E

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Synchrotron motion with rf phase modulation was studied experimentally. Poincarb maps in the resonant precessing frame were obtained from the experimental data and compared with the tori of the resonant Hamiltonian. Our experimental data revealed island structure in longitudinal phase space. Experimental results for synchrotron motion excited by phase modulation at the third harmonic of the synchrotron frequency are also reported. '

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Section: Introductionmentioning

confidence: 63%

Experimental determination of the Hamiltonian for synchrotron motion with rf phase modulation

Huang¹,

Ball²,

Brabson³

et al. 1993

Phys. Rev. E

Self Cite

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“…IVA below). Increasing α s , these fifth-order resonance islands moves toward the center of the bucket [9].…”

Section: Numerical Trackingmentioning

confidence: 99%

Hamiltonian approach to slip-stacking dynamics

Lee¹,

2017

Phys. Rev. Accel. Beams

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Hamiltonian dynamics has been applied to study the slip-stacking dynamics. The canonical-perturbation method is employed to obtain the second-harmonic correction term in the slip-stacking Hamiltonian. The Hamiltonian approach provides a clear optimal method for choosing the slip-stacking parameter and improving stacking efficiency. The dynamics are applied specifically to the Fermilab Booster-Recycler complex. The dynamics can also be applied to other accelerator complexes.Comment: 10 p

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“…Studies related to the effects of phase or amplitude modulation of the accelerating radiofrequency (rf) fields in circular accelerators date back to the early 1990's when a series of classical experiments were performed with the aim of understanding basic aspects of nonlinear longitudinal beam dynamics at low current in hadron machines [1][2][3][4][5]. Apart from the fundamental interest of those experiments, related to the possibility of direct observations of nonlinear phenomena such as the formation of islands in phase space and measurement of synchrotron tune variations with amplitude, the main applications envisaged by those works were related to issues such as lifetime limitations due to rf noise, the development of superslow extraction techniques, and the use of parametric feedback for multibunch instabilities.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal dynamics with rf phase modulation in the Brazilian electron storage ring

Abreu

Farias

Tavares

2006

Phys. Rev. ST Accel. Beams

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In the Brazilian synchrotron light source (LNLS-Laboratório Nacional de Luz Síncrotron), we observed that modulating the phase of the accelerating fields at approximately twice the synchrotron frequency suppressed remarkably well a longitudinal coupled-bunch mode of the beam driven by a higher order mode in one of the radiofrequency (rf) cavities. In this work, we present the results of a set of systematic measurements, in single and multibunch mode, aimed at characterizing the effects of rf phase modulation on the beam. We compare those experiments with the results of tracking simulations and of a theoretical model in which Landau damping is the stabilizing mechanism that explains the suppression of the longitudinal coupled-bunch instability. We also measure the frequency of the stable islands created in longitudinal phase space by phase modulation and the longitudinal beam transfer function as a function of the modulation frequency and amplitude. The experimental results are in good agreement with theoretical expectations.

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Driven response of the synchrotron motion of a beam

Cited by 61 publications

References 6 publications

Experimental determination of the Hamiltonian for synchrotron motion with rf phase modulation

Experimental determination of the Hamiltonian for synchrotron motion with rf phase modulation

Hamiltonian approach to slip-stacking dynamics

Longitudinal dynamics with rf phase modulation in the Brazilian electron storage ring

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