Halo formation in three-dimensional bunches with various phase space distributions

A. V. Fedotov; R. L. Gluckstern; S. S. Kurennoy; R. D. Ryne

doi:10.1103/PhysRevSTAB.2.014201

Open Access

Halo formation in three-dimensional bunches with various phase space distributions

A. V. Fedotov and R. L. Gluckstern

S. S. Kurennoy and R. D. Ryne

Physics Department, University of Maryland, College Park, Maryland 20742

LANSCE Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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Phys. Rev. ST Accel. Beams 2, 014201 – Published 12 January, 1999

DOI: https://doi.org/10.1103/PhysRevSTAB.2.014201

Abstract

A realistic treatment of halo formation must take into account 3D beam bunches and 6D phase space distributions. We recently constructed, analytically and numerically, a new class of self-consistent 6D phase space stationary distributions, which allowed us to study the halo development mechanism without being obscured by the effect of beam redistribution. In this paper we consider nonstationary distributions and study how the halo characteristics compare with those obtained using the stationary distribution. We then discuss the effect of redistribution on the halo development mechanism. In contrast to bunches with a large aspect ratio, we find that the effect of coupling between the $r$ and $z$ planes is especially important as the bunch shape becomes more spherical.

References (18)

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[c1] M. Reiser, in Proceedings of the 1991 Particle Accelerator Conference, San Francisco, L. Lizama (IEEE, Piscataway, NJ, 1991), p. 2497; A. Cucchetti, M. Reiser, and T. Wangler, ibid., p. 251; J. S. O'Connell, T. P. Wangler, R. S. Mills, and K. R. Crandall, in Proceedings of the 1993 Particle Accelerator Conference, Washington, DC, S. T. Corneliussen (IEEE, Piscataway, NJ, 1993), p. 3657.

[c2] R. A. Jameson, Los Alamos Report No. LA-UR-93-1209 (unpublished).

[c3] R. A. Jameson, in Proceedings of the Joint US-CERN-Japan International School, Maui, Hawaii, 1994 (World Scientific, Singapore, 1996), pp. 530–560.

[c4] R. L. Gluckstern, Phys. Rev. Lett. 73, 1247 (1994).

[c5] A. Riabko, M. Ellison, X. Kang, S. Y. Lee, D. Li, J. Y. Liu, X. Pei, and L. Wang, Phys. Rev. E 51, 3529 (1995).

[c6] M. Reiser, Theory and Design of Charged Particle Beams (Wiley, New York, 1994).

[c7] R. L. Gluckstern, W-H. Cheng, S. S. Kurennoy, and H. Ye, Phys. Rev. E 54, 6788 (1996).

[c8] R. L. Gluckstern, W-H. Cheng, and H. Ye, Phys. Rev. Lett. 75, 2835 (1995).

[c9] R. L. Gluckstern and S. S. Kurennoy, in Proceedings of the 1997 Particle Accelerator Conference, Vancouver, Canada (IEEE, Piscataway, NJ, 1998), p. 1950.

[c10] J. J. Barnard and S. M. Lund, in Proceedings of the 1997 Particle Accelerator Conference, Vancouver, Canada (IEEE, Piscataway, NJ, 1998), p. 1929; S. M. Lund and J. J. Barnard, ibid., p. 1932.

[c11] H. Okamoto and M. Ikegami, Phys. Rev. E 55, 4694 (1997).

[c12] R. L. Gluckstern, A. V. Fedotov, S. S. Kurennoy, and R. D. Ryne, Phys. Rev. E 58, 4977 (1998).

[c13] E. Forest, J. Bengtsson, and M. F. Reusch, Phys. Lett. A 158, 99 (1991).

[c14] R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles (Adam Hilger, New York, 1988).

[c15] R. Ferrell and E. Bertschinger, Int. J. Mod. Phys. C 5, 933 (1994).

[c16] I. Hofmann and J. Struckmeier, Part. Accel. 21, 69–98 (1987).

[c17] T. P. Wangler, K. R. Crandall, E. R. Gray, and S. Nath, in Proceedings of the 1997 Particle Accelerator Conference, Vancouver, Canada (IEEE, Piscataway, NJ, 1998), p. 915.

[c18] APT Conceptual Design Report, Los Alamos Report No. LA-UR-97-1329, 1997.

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Halo formation in three-dimensional bunches with various phase space distributions

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