Fixed field alternating gradient accelerator with small orbit shift and tune excursion
A new design principle of a nonscaling fixed field alternating gradient accelerator is proposed. It is based on optics that produce approximate scaling properties. A large field index k is chosen to squeeze the orbit shift as much as possible by setting the betatron oscillation frequency in the seco...
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American Physical Society
2010-04-01
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Series: | Physical Review Special Topics. Accelerators and Beams |
Online Access: | http://doi.org/10.1103/PhysRevSTAB.13.040101 |
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doaj-000139c08f864737a02755fffb8ef9ee2020-11-24T21:31:44ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022010-04-0113404010110.1103/PhysRevSTAB.13.040101Fixed field alternating gradient accelerator with small orbit shift and tune excursionSuzanne L. SheehyKen J. PeachHolger WitteDavid J. KelliherShinji MachidaA new design principle of a nonscaling fixed field alternating gradient accelerator is proposed. It is based on optics that produce approximate scaling properties. A large field index k is chosen to squeeze the orbit shift as much as possible by setting the betatron oscillation frequency in the second stability region of Hill’s equation. Then, the lattice magnets and their alignment are simplified. To simplify the magnets, we expand the field profile of r^{k} into multipoles and keep only a few lower order terms. A rectangular-shaped magnet is assumed with lines of constant field parallel to the magnet axis. The lattice employs a triplet of rectangular magnets for focusing, which are parallel to one another to simplify alignment. These simplifications along with fringe fields introduce finite chromaticity and the fixed field alternating gradient accelerator is no longer a scaling one. However, the tune excursion of the whole ring can be within half an integer and we avoid the crossing of strong resonances.http://doi.org/10.1103/PhysRevSTAB.13.040101 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Suzanne L. Sheehy Ken J. Peach Holger Witte David J. Kelliher Shinji Machida |
spellingShingle |
Suzanne L. Sheehy Ken J. Peach Holger Witte David J. Kelliher Shinji Machida Fixed field alternating gradient accelerator with small orbit shift and tune excursion Physical Review Special Topics. Accelerators and Beams |
author_facet |
Suzanne L. Sheehy Ken J. Peach Holger Witte David J. Kelliher Shinji Machida |
author_sort |
Suzanne L. Sheehy |
title |
Fixed field alternating gradient accelerator with small orbit shift and tune excursion |
title_short |
Fixed field alternating gradient accelerator with small orbit shift and tune excursion |
title_full |
Fixed field alternating gradient accelerator with small orbit shift and tune excursion |
title_fullStr |
Fixed field alternating gradient accelerator with small orbit shift and tune excursion |
title_full_unstemmed |
Fixed field alternating gradient accelerator with small orbit shift and tune excursion |
title_sort |
fixed field alternating gradient accelerator with small orbit shift and tune excursion |
publisher |
American Physical Society |
series |
Physical Review Special Topics. Accelerators and Beams |
issn |
1098-4402 |
publishDate |
2010-04-01 |
description |
A new design principle of a nonscaling fixed field alternating gradient accelerator is proposed. It is based on optics that produce approximate scaling properties. A large field index k is chosen to squeeze the orbit shift as much as possible by setting the betatron oscillation frequency in the second stability region of Hill’s equation. Then, the lattice magnets and their alignment are simplified. To simplify the magnets, we expand the field profile of r^{k} into multipoles and keep only a few lower order terms. A rectangular-shaped magnet is assumed with lines of constant field parallel to the magnet axis. The lattice employs a triplet of rectangular magnets for focusing, which are parallel to one another to simplify alignment. These simplifications along with fringe fields introduce finite chromaticity and the fixed field alternating gradient accelerator is no longer a scaling one. However, the tune excursion of the whole ring can be within half an integer and we avoid the crossing of strong resonances. |
url |
http://doi.org/10.1103/PhysRevSTAB.13.040101 |
work_keys_str_mv |
AT suzannelsheehy fixedfieldalternatinggradientacceleratorwithsmallorbitshiftandtuneexcursion AT kenjpeach fixedfieldalternatinggradientacceleratorwithsmallorbitshiftandtuneexcursion AT holgerwitte fixedfieldalternatinggradientacceleratorwithsmallorbitshiftandtuneexcursion AT davidjkelliher fixedfieldalternatinggradientacceleratorwithsmallorbitshiftandtuneexcursion AT shinjimachida fixedfieldalternatinggradientacceleratorwithsmallorbitshiftandtuneexcursion |
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