Dipole fringe field thin map for compact synchrotrons
The Lie map generator of the dipole fringe field is derived up to the 4th order of canonical variables. We discovered significant closed orbit deviation and octupolelike potential when the bending radius ρ is small. We found that the closed orbit deviation is proportional to g^{2}/ρ and the octupole...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2015-12-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.18.122401 |
| Summary: | The Lie map generator of the dipole fringe field is derived up to the 4th order of canonical variables. We discovered significant closed orbit deviation and octupolelike potential when the bending radius ρ is small. We found that the closed orbit deviation is proportional to g^{2}/ρ and the octupolelike potential effect is proportional to 1/(gρ^{2}), where g is the vertical magnet gap. |
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| ISSN: | 1098-4402 |