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

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

doi:10.1103/physreve.48.4678

Cited by 66 publications

(29 citation statements)

References 10 publications

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“…The motion of the beam with phase modulation has been completely solved analytically by Huang. 6 However, we will do this numerically using the difference …”

Section: Choice Of ω Modmentioning

confidence: 99%

Preliminary studies of a chromaticity tracker

Tan¹

2006

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A chromaticity tracker based on a method by D. McGinnis isproposed. This method starts with the slow modulation of the accelerating RF which causes the beam to respond to it. This beam modulation can be detected transversely with a Schottky pickup which after phase demodulation, the chromaticity can be calculated from it. However, to perform phase demodulation, the carrier frequency which is the betatron tune needs to be identified. The identification of the carrier frequency falls naturally onto the phase locked loop tune tracker which when locked to the betatron tune outputs this value in real time.

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“…The motion of the beam with phase modulation has been completely solved analytically by Huang. 6 However, we will do this numerically using the difference …”

Section: Choice Of ω Modmentioning

confidence: 99%

Preliminary studies of a chromaticity tracker

Tan¹

2006

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“…When the beams are under the sinusoidal phase modulation function of a m sin ν m θ n , the synchrotron mapping equations for an electron in the phase space coordinates (φ, δ) can be written as [3] …”

Section: Hamiltonian Of Rf Phase Modulationmentioning

confidence: 99%

“…Many accelerator laboratories have used the artificial RF phase modulation to control the bunch length, the beam lifetime, and the coupled bunch mode instabilities by injecting a small-amplitude RF signal in the main RF accelerating signal through the RF phase shifter [2], [3]. The natural RF phase modulation can be generated by the RF noises or the RF power supply ripples [3]. Occasionally, there are the RF noise-sidebands around the RF frequency in the No.…”

Section: Introductionmentioning

confidence: 99%

“…There are two kinds of the RF modulations to control various beam properties via the longitudinal nonlinear beam dynamics: One is the RF phase modulation, and the other is the RF voltage modulation [1]. Many accelerator laboratories have used the artificial RF phase modulation to control the bunch length, the beam lifetime, and the coupled bunch mode instabilities by injecting a small-amplitude RF signal in the main RF accelerating signal through the RF phase shifter [2], [3]. The natural RF phase modulation can be generated by the RF noises or the RF power supply ripples [3].…”

Section: Introductionmentioning

confidence: 99%

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Bunch length beating in PLS storage ring

Kim

Kim²,

Kim³

et al.

PACS2001. Proceedings of the 2001 Particle Accelerator Conference (Cat. No.01CH37268)

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During the normal operation period in the Pohang Light Source (PLS) storage ring, the spontaneous bunch length oscillation or beating is generated by the nonlinear effects of the RF noise whose frequency is much lower than the bifurcation frequency. Due to the bunch length beating, we can not supply the uniform intensity beams to users. We have described the observed bunch length beating and its mechanism in the PLS storage ring with a simulation.

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“…Fortunately, the theory of nonlinear longitudinal oscillations in the presence of phase modulation is well documented [3]. We provide here only a qualitative discussion of the theory.…”

mentioning

confidence: 99%

Nonlinear longitudinal dynamics studies at the ALS

Byrd

Cheng

Santis

et al.

Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)

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We present an account of our efforts to understand unexpected observations in the course of performing measurements of the longitudinal beam transfer function.As the amplitude of the excitation was increased, we observed a notch in the middle of the peak amplitude response of the transfer function. Our observations are explained by a bifurcation in the amplitude due to the nonlinearity of the oscillations, demonstrated by measurements of the longitudinal bunch profile using a streak camera.

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

Cited by 66 publications

References 10 publications

Preliminary studies of a chromaticity tracker

Preliminary studies of a chromaticity tracker

Bunch length beating in PLS storage ring

Nonlinear longitudinal dynamics studies at the ALS

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