Solvable map representation of a nonlinear symplectic map

Rangarajan, G.; Dragt, A.J.; Neri, F.

doi:10.1002/pola.1990.080280109

Solvable map representation of a nonlinear symplectic map

1990

6 pages

Part of Proceedings, 14th International Conference on High-Energy Accelerators, HEACC 1989, pt.1-5 : Tsukuba, Japan, August 22-26, 1989

Published in:

Part.Accel. 28 (1990) 119-124

Contribution to:

- HEACC 89

DOI:

10.1002/pola.1990.080280109

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reference search16 citations

Citations per year

talk: Tsukuba 1989/08/22
beam dynamics: nonlinear
nonlinear: beam dynamics
transfer matrix: symplectic
algebra: Lie

References(7)

Figures(0)

F. NERI

G. Rangarajan
,
A.J. Dragt and

[1]

For a review of Lie algebraic techniques, see R. A. Carrigan, F. R. Huson, and M. Month (eds.), in Physics of High Energy Particle Accelerators, AlP Con£. Proc. No. 87 (AlP, New York, 1982), p.147

A.J. Dragt

[2]

Lie Algebraic Treatment of Linear and Nonlinear Beam Dynamics

Alex J. Dragt
(
- Maryland U.
)
,
Filippo Neri
(
- Maryland U.
)
,
Govindan Rangarajan
(
- Maryland U.
)
,
David R. Douglas
(
- Jefferson Lab
)
,
Liam M. Healy
(
- Naval Research Lab, Wash., D.C.
)

et al.

- Ann.Rev.Nucl.Part.Sci. 38 (1988) 455-496
•
DOI:
- 10.1146/annurev.nucl.38.1.455

[3]

MARYLIE 3.0. A Program for nonlinear analysis of accelerator and beamline lattices

et al.

- IEEE Trans.Nucl.Sci. 32 (1985) 2311-2313,
- IEEE Trans. Nucl. Sci. 32 ( 1985) 2311-2313
•
DOI:
- 10.1109/TNS.1985.4333896

[4]

A Method to Render Second-Order Beam Optics Programs Symplectic

David Douglas
(
- SSCL
)
,
Etienne Forest
(
- SSCL
)
,
Roger V. Servranckx
(
- Saskatchewan U.
)

- IEEE Trans.Nucl.Sci. 32 (1985) 2279-2281,
- Particle Accel.Conf.IEEE 1985:2279
•
DOI:
- 10.1109/TNS.1985.4333885

[4]

Dept. Phys. Tech. Rep., Univ. Md. (1986)

F. Neri

[5]

Irwin has given a compact representation of a nonlinear map in terms of these kick maps, personal communication (1989)

J. Recently