Quasi-isochronous storage rings

David Robin; Etienne Forest; Claudio Pellegrini; Ali Amiry

doi:10.1103/PhysRevE.48.2149

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Quasi-isochronous storage rings

David Robin and Etienne Forest

Claudio Pellegrini and Ali Amiry

Center for Beam Physics, Accelerator and Fusion Research Division, Lawrence Berkeley Laboratory, University of California, Berkeley, Berkeley, California 94720

Department of Physics, University of California, Los Angeles, Los Angeles, California 90024

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Phys. Rev. E 48, 2149 – Published 1 September, 1993

DOI: https://doi.org/10.1103/PhysRevE.48.2149

Abstract

A study is made of the single-particle dynamics of an electron-positron storage ring where the phase-slip factor is made small in order to make the ring nearly isochronous and reduce the bunch length. What is found is that a quasi-isochronous ring makes it possible to obtain a bunch length in the millimeter range, about one order of magnitude shorter than present values. In this study we have extended the work of others on isochronous storage rings by quantitatively including higher-order terms in the longitudinal equations of motion. Scaling laws are then derived relating the linear term with the next-highest-order term. These scaling laws, which are derived from a two-dimensional Hamiltonian (one dimension of position and one of momentum), establish criteria for stability. These scaling laws are then checked with full six-dimensional tracking on one particular lattice.

References (13)

Claudio Pellegrini and David Robin, Nucl. Instrum Methods A 301, 27 (1991).
At UVSOR there is interest in producing short bunches by lowering the phase slip factor for the purpose of producing coherent infrared radiation.
See, for instance, M. Sands, Stanford Linear Accelerator Center Report No. SLAC-121 (1970).
D. A. G. Deacon, Phys. Rep. 76, 349 (1981).
A. Amiry . et al., Part Accel. (to be published).
S. A. Bogacz and S. Peggs, Fermilab Report No. Fermilab-FN-559 (1990).
E. Forest, Part. Accel. 24, 15 (1987).
J. Murphy, Brookhaven National Laboratory Report No. BNL 423333 (1990).
Y. Yoshida, Phys. Lett. A 150, 262 (1990).
See, for instance, A. Dragt, Physics of High Energy Particle Accelerators (Fermilab Summer School, 1981), AIP Conf. Proc. No. 87 (AIP, New York, 1982), p. 147.
M. Berz, Part. Accel. 24, 15 (1987).
H. Hama, S. Takano, and G. Isoyama, Stanford Radiation Laboratory Report No. SSRL 92/02 (1992).
A. Faltens and L. J. Laslett, Part. Accel. 4, 151 (1973).

[c1] Claudio Pellegrini and David Robin, Nucl. Instrum Methods A 301, 27 (1991).

[c2] At UVSOR there is interest in producing short bunches by lowering the phase slip factor for the purpose of producing coherent infrared radiation.

[c3] See, for instance, M. Sands, Stanford Linear Accelerator Center Report No. SLAC-121 (1970).

[c4] D. A. G. Deacon, Phys. Rep. 76, 349 (1981).

[c5] A. Amiry . et al., Part Accel. (to be published).

[c6] S. A. Bogacz and S. Peggs, Fermilab Report No. Fermilab-FN-559 (1990).

[c7] E. Forest, Part. Accel. 24, 15 (1987).

[c8] J. Murphy, Brookhaven National Laboratory Report No. BNL 423333 (1990).

[c9] Y. Yoshida, Phys. Lett. A 150, 262 (1990).

[c10] See, for instance, A. Dragt, Physics of High Energy Particle Accelerators (Fermilab Summer School, 1981), AIP Conf. Proc. No. 87 (AIP, New York, 1982), p. 147.

[c11] M. Berz, Part. Accel. 24, 15 (1987).

[c12] H. Hama, S. Takano, and G. Isoyama, Stanford Radiation Laboratory Report No. SSRL 92/02 (1992).

[c13] A. Faltens and L. J. Laslett, Part. Accel. 4, 151 (1973).

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Quasi-isochronous storage rings

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