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...
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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 |
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doaj-59f8e48d2a5e4f2f8b7fb646a9eb4d4e2020-11-24T21:32:21ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022015-12-01181212240110.1103/PhysRevSTAB.18.122401Dipole fringe field thin map for compact synchrotronsKilean HwangS. Y. LeeThe 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.http://doi.org/10.1103/PhysRevSTAB.18.122401 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kilean Hwang S. Y. Lee |
| spellingShingle |
Kilean Hwang S. Y. Lee Dipole fringe field thin map for compact synchrotrons Physical Review Special Topics. Accelerators and Beams |
| author_facet |
Kilean Hwang S. Y. Lee |
| author_sort |
Kilean Hwang |
| title |
Dipole fringe field thin map for compact synchrotrons |
| title_short |
Dipole fringe field thin map for compact synchrotrons |
| title_full |
Dipole fringe field thin map for compact synchrotrons |
| title_fullStr |
Dipole fringe field thin map for compact synchrotrons |
| title_full_unstemmed |
Dipole fringe field thin map for compact synchrotrons |
| title_sort |
dipole fringe field thin map for compact synchrotrons |
| publisher |
American Physical Society |
| series |
Physical Review Special Topics. Accelerators and Beams |
| issn |
1098-4402 |
| publishDate |
2015-12-01 |
| description |
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. |
| url |
http://doi.org/10.1103/PhysRevSTAB.18.122401 |
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AT kileanhwang dipolefringefieldthinmapforcompactsynchrotrons AT sylee dipolefringefieldthinmapforcompactsynchrotrons |
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