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One-Turn Map of Storage Ring with Insertion Devices |
| LI Yong-Jun |
| National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029 |
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| Cite this article: |
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LI Yong-Jun 2003 Chin. Phys. Lett. 20 486-488 |
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Abstract Considering that the one-turn map can provid a useful and powerful tool to understand the nonlinear dynamics in a designing storage ring dedicated to synchrotron radiation and in a damping ring used as the pre-injector of linear collider, we first expand the Hamiltonian of a charged particle moving along the insertion device (ID) axis to the fourth-order Taylor series, and then construct a second-order symplectic integrator using the Lie map product for the particle passing through one period of the ID. The one-turn map can be obtained by concatenating the Lie map of the whole ID and the rest part of ring.
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| Keywords:
29.20.Dh
41.85.Lc
02.20.Sv
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Published: 01 April 2003
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| PACS: |
29.20.Dh
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41.85.Lc
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(Particle beam focusing and bending magnets, wiggler magnets, and quadrupoles)
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02.20.Sv
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(Lie algebras of Lie groups)
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