Experimental measurement of resonance islands induced by rf voltage modulation

D. Li; M. Ball; B. Brabson; J. Budnick; D. D. Caussyn; A. W. Chao; G. East; M. Ellison; D. Friesel; B. Hamilton; H. Huang; W. P. Jones; S. Y. Lee; M. G. Minty; S. Nagaitsev; K. Y. Ng; X. Pei; T. Sloan; M. Syphers; L. Teng; Y. Wang; Y. T. Yan; P. L. Zhang

doi:10.1103/PhysRevE.48.R1638

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Experimental measurement of resonance islands induced by rf voltage modulation

D. Li, M. Ball, B. Brabson, J. Budnick, D. D. Caussyn, A. W. Chao, G. East, M. Ellison, D. Friesel et al.

B. Hamilton, H. Huang, W. P. Jones, S. Y. Lee, M. G. Minty, S. Nagaitsev, K. Y. Ng, X. Pei, T. Sloan, M. Syphers, L. Teng, Y. Wang, Y. T. Yan, and P. L. Zhang

Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405
Superconducting Supercollider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946
Stanford Linear Accelerator Center, MS26, Box 4349, Stanford, California 94309
Fermilab, P.O. Box 500, Batavia, Illinois 60510
Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439
Brookhaven National Laboratory, Upton, New York 11973

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Phys. Rev. E 48, R1638(R) – Published 1 September, 1993

DOI: https://doi.org/10.1103/PhysRevE.48.R1638

Abstract

Synchrotron motion with an external rf voltage modulation was studied experimentally. Beam particles, in the presence of electron cooling, were observed to damp to the basins of resonance islands, which were produced by the parametric resonance due to rf voltage modulation. The measured phase amplitudes of the centers of these resonance islands were found to agree well with theory.

References (6)

G. D ^ome, CERN Report No. 87 03, p. 370 (1987) (unpublished); S. Krinsky and J.M. Wang, Part. Accel. 12, 107 (1982).
J.D. Fox, and P. Corredoura, in Proceedings of the European Particle Accelerator Conference, edited by H. Henke, H. Homeyer, and Ch. Petit Jean Genaz (Springer Verlag, Heidelberg, 1992), p. 1079.
H.J. Shih and A.M. Taratin, Superconducting Supercollider Laboratory Report No. SSCL 389, 1991 (unpublished); W. Gabella, J. Rosenzweig, R. Kick, and S. Peggs, Fermilab Report No. TM 1783, 1992 (unpublished).
S.Y. Lee et al., Phys. Rev. Lett. 67, 3768 (1991); D.D. Caussyn et al., Phys. Rev. A 46, 7942 (1992); M. Ellison et al., Phys. Rev. Lett. 70, 591 (1993).
M. Syphers et al., Phys. Rev. Lett. 71, 719 (1993); Y. Wang et al. (unpublished).
L.D. Landau and E.M. Lifschitz, Mechanics, 3rd. ed. (Pergamon, New York, 1976).

[c1] G. D ^ome, CERN Report No. 87 03, p. 370 (1987) (unpublished); S. Krinsky and J.M. Wang, Part. Accel. 12, 107 (1982).

[c2] J.D. Fox, and P. Corredoura, in Proceedings of the European Particle Accelerator Conference, edited by H. Henke, H. Homeyer, and Ch. Petit Jean Genaz (Springer Verlag, Heidelberg, 1992), p. 1079.

[c3] H.J. Shih and A.M. Taratin, Superconducting Supercollider Laboratory Report No. SSCL 389, 1991 (unpublished); W. Gabella, J. Rosenzweig, R. Kick, and S. Peggs, Fermilab Report No. TM 1783, 1992 (unpublished).

[c4] S.Y. Lee et al., Phys. Rev. Lett. 67, 3768 (1991); D.D. Caussyn et al., Phys. Rev. A 46, 7942 (1992); M. Ellison et al., Phys. Rev. Lett. 70, 591 (1993).

[c5] M. Syphers et al., Phys. Rev. Lett. 71, 719 (1993); Y. Wang et al. (unpublished).

[c6] L.D. Landau and E.M. Lifschitz, Mechanics, 3rd. ed. (Pergamon, New York, 1976).

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Experimental measurement of resonance islands induced by rf voltage modulation

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