Parametric resonances in synchrotrons with two rf systems

Lee, S. Y.; Caussyn, D.D.; Ellison, M.; Hedblom, K.; Huang, H.; Li, D.; Liu, J. Y.; Ng, K.Y.; Riabko, A.; Yan, Yunxiang

doi:10.1103/physreve.49.5717

Cited by 17 publications

(6 citation statements)

References 5 publications

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“…Note that the outer stochastic band has broadened considerably, and that stochastic bands near the fixed point are now visible. At low mismatch the 8:1 resonance ( e 4:125) lies very close to a small chaotic band, at moderate mismatch the 7:1 ( e 4:143) resonance islands are visible, and at high mismatch the separatrix of the 6:1 resonance ( e 4:167) is entirely stochastic [19]. This is the highest intensity for which a well-defined fixed point surrounded by closed surfaces can be found using the beam emittances given in Table I.…”

Section: (2003)mentioning

confidence: 99%

Space charge induced resonance excitation in high intensity rings

Cousineau

Lee

Holmes

et al. 2003

Phys. Rev. ST Accel. Beams

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We present a particle core model study of the space charge effect on high intensity synchrotron beams, with specific emphasis on the Proton Storage Ring (PSR) at Los Alamos National Laboratory. Our particle core model formulation includes realistic lattice focusing and dispersion. We transport both matched and mismatched beams through real lattice structure and compare the results with those of an equivalent uniform-focusing approximation. The effects of lattice structure and finite momentum spread on the resonance behavior are specifically targeted. Stroboscopic maps of the mismatched envelope are constructed and show high-order resonances and stochastic effects that dominate at high mismatch or high intensity. We observe the evolution of the envelope phase-space structure during a high intensity PSR beam accumulation. Finally, we examine the envelope-particle parametric resonance condition and discuss the possibility for halo growth in synchrotron beams due to this mechanism.

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Section: (2003)mentioning

confidence: 99%

Space charge induced resonance excitation in high intensity rings

Cousineau

Lee

Holmes

et al. 2003

Phys. Rev. ST Accel. Beams

Self Cite

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“…when combined with resonant behavior and RF voltage modulations, the results may be applied to RF manipulations ranging from transition crossing to efficient rebucketing. [16,17,181 …”

Section: Rf Bucket Halo Transportmentioning

confidence: 99%

Modulational Effects in Accelerators

Satogata

1999

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“…When the secondary rf modulational system is turned on, the corresponding equations of motion become [8] ᠨ d 2n s ͓sin f 2 r sin͑hf 1 Df͔͒…”

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confidence: 99%

“…Strong perturbation to particle motion occurs only when parametric resonances are excited by the time dependent term [8,9]. The locations of the parametric resonances in the phase space are essentially determined by the Hamiltonian system.…”

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confidence: 99%