NDLI: Nonlinear dynamics issues for quasi-isochronous storage rings

Content Provider	IEEE Xplore Digital Library
Author	Jeon, D. Bai, M. Chu, C.M. Kang, X. Lee, S.Y. Riabko, A. Zhao, X.
Copyright Year	1997
Description	Author affiliation: Indiana Univ., Bloomington, IN, USA (Jeon, D.)
Abstract	The synchrotron equation of motion in quasi-isochronous (QI) storage rings was transformed to a universal Weierstrass equation, where solution is given by Jacobian elliptic functions. Scaling properties of QI Hamiltonian were derived. The effects of phase space damping and the sensitivity of particle motion to external harmonic modulation were studied. We found that rf phase modulation is particularly enhanced in QI storage rings. This means that the operators of QI storage rings should pay special attention to rf phase modulation. Exact formulae and sum rules for resonance strength coefficients were derived. In the presence of radiation damping and rf phase modulation, the QI system exhibits a sequence of period-two bifurcations enroute to global chaos (instability) in a region of modulation tune. The critical modulation amplitude for the onset of global chaos shows a cusp as a function of modulation tune. This cusp was shown to arise from the transition from the 2:1 to the 1:1 parametric resonances. We also studied the effect of rf voltage modulation and found that the tolerance of rf voltage modulation is much larger than that of rf phase modulation.
Starting Page	1346
Ending Page	1350
File Size	425330
Page Count	5
File Format	PDF
ISBN	078034376X
DOI	10.1109/PAC.1997.750689
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-05-16
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Storage rings Phase modulation Nonlinear equations Damping Resonance Chaos Amplitude modulation Voltage Synchrotrons Jacobian matrices
Content Type	Text
Resource Type	Article

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