Particle dynamics inside a quasi-isochronous storage ring

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Quasi-isochronous {alpha}-like bucket can be important in providing ultra short bunches. the instability of a bunch inside the bucket is found to be severely affected by rf phase modulation. The synchrotron tune drops to zero at the bucket edge very rapidly, indicating the possibility of a thick chaotic layer due to overlapping of resonance islands. The approach to chaos comes from a sequence of bifurcation into 2:1 parametric resonances. When quantum excitation is included in addition to radiation damping, the instability is worsened. the steady-state particle distribution in the longitudinal phase space is Gaussian in the phase coordinate and non-Gaussian ... continued below

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28 p.

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Ng, K.Y.; Bai, M.; Brabson, B.; Chu, C.M.; Kang, X.; Jeon, D. et al. October 1, 1996.

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Description

Quasi-isochronous {alpha}-like bucket can be important in providing ultra short bunches. the instability of a bunch inside the bucket is found to be severely affected by rf phase modulation. The synchrotron tune drops to zero at the bucket edge very rapidly, indicating the possibility of a thick chaotic layer due to overlapping of resonance islands. The approach to chaos comes from a sequence of bifurcation into 2:1 parametric resonances. When quantum excitation is included in addition to radiation damping, the instability is worsened. the steady-state particle distribution in the longitudinal phase space is Gaussian in the phase coordinate and non-Gaussian in the momentum coordinate, unless the bunch is small. The size of the bunch is governed only bye the ``thermal energy`` {ital E{sub th}} = D{sup 2}/2A, where D and A are, respectively, the normalized diffusion and damping coefficients. The quantum lifetime of the particle bunch, for the D and A that have been enhanced by the smallness of the phase- slip factor, is studied and turns out to be much longer than expected. Phase modulation tends to enhance quantum diffusion at high frequencies, but leads to stochastic resonances instead at low frequencies.

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28 p.

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INIS; OSTI as DE97050279

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  • 12. advanced ICFA beam dynamics workshop on nonlinear and collective phenomena in beam physics, Arcidosso (Italy), 2-6 Sep 1996

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  • Other: DE97050279
  • Report No.: FNAL/C--96/380
  • Report No.: CONF-9609198--1
  • Grant Number: AC02-76CH03000
  • Office of Scientific & Technical Information Report Number: 419267
  • Archival Resource Key: ark:/67531/metadc675808

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  • October 1, 1996

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  • July 25, 2015, 2:20 a.m.

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  • April 1, 2016, 6:59 p.m.

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Ng, K.Y.; Bai, M.; Brabson, B.; Chu, C.M.; Kang, X.; Jeon, D. et al. Particle dynamics inside a quasi-isochronous storage ring, article, October 1, 1996; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc675808/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.