Perturbation treatment of linear beam optics of combined function magnets
In this paper, a perturbation theory is developed for calculating the 6D transfer matrix of a combined function magnet. Starting from the linear part of the Hamiltonian, the transfer matrix M is decomposed into an infinite sum over matrices M_{n}, which represent an n-fold interaction of the beam wi...
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| Language: | English |
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American Physical Society
2002-06-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.5.064001 |
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doaj-9a11f52155b041c88e7a7573b47102212020-11-25T02:30:16ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022002-06-015606400110.1103/PhysRevSTAB.5.064001Perturbation treatment of linear beam optics of combined function magnetsM. SeidlIn this paper, a perturbation theory is developed for calculating the 6D transfer matrix of a combined function magnet. Starting from the linear part of the Hamiltonian, the transfer matrix M is decomposed into an infinite sum over matrices M_{n}, which represent an n-fold interaction of the beam with the quadrupole content of the magnet. Given the magnetic field in the vicinity of the reference path, each matrix M_{n} can be calculated either analytically or by numerical integration. As an example, the transfer matrix is calculated of the 90° bending magnet of the double sided microtron HDSM at the MAMI-C electron scattering facility, which so far has been possible only by means of particle tracking.http://doi.org/10.1103/PhysRevSTAB.5.064001 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Seidl |
| spellingShingle |
M. Seidl Perturbation treatment of linear beam optics of combined function magnets Physical Review Special Topics. Accelerators and Beams |
| author_facet |
M. Seidl |
| author_sort |
M. Seidl |
| title |
Perturbation treatment of linear beam optics of combined function magnets |
| title_short |
Perturbation treatment of linear beam optics of combined function magnets |
| title_full |
Perturbation treatment of linear beam optics of combined function magnets |
| title_fullStr |
Perturbation treatment of linear beam optics of combined function magnets |
| title_full_unstemmed |
Perturbation treatment of linear beam optics of combined function magnets |
| title_sort |
perturbation treatment of linear beam optics of combined function magnets |
| publisher |
American Physical Society |
| series |
Physical Review Special Topics. Accelerators and Beams |
| issn |
1098-4402 |
| publishDate |
2002-06-01 |
| description |
In this paper, a perturbation theory is developed for calculating the 6D transfer matrix of a combined function magnet. Starting from the linear part of the Hamiltonian, the transfer matrix M is decomposed into an infinite sum over matrices M_{n}, which represent an n-fold interaction of the beam with the quadrupole content of the magnet. Given the magnetic field in the vicinity of the reference path, each matrix M_{n} can be calculated either analytically or by numerical integration. As an example, the transfer matrix is calculated of the 90° bending magnet of the double sided microtron HDSM at the MAMI-C electron scattering facility, which so far has been possible only by means of particle tracking. |
| url |
http://doi.org/10.1103/PhysRevSTAB.5.064001 |
| work_keys_str_mv |
AT mseidl perturbationtreatmentoflinearbeamopticsofcombinedfunctionmagnets |
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