Focusing limit of a cyclotron: Axial betatron instability against beam dynamics approach
In an isochronous relativistic cyclotron, axial defocusing of a beam caused by the radial growth of the isochronous magnetic field is compensated by the azimuthal field gradient introduced by sectors. The focusing capabilities of sectors set the maximum ion energy obtainable from the machine. Usuall...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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VINCA Institute of Nuclear Sciences
2006-01-01
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| Series: | Nuclear Technology and Radiation Protection |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-3994/2006/1451-39940602040C.pdf |
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| author | Ćirković Saša T. Ristić-Đurović Jasna L. Ilić Anđelija Nešković Nebojša Vorozhtsov Alexey S. Vorozhtsov Sergey B. |
| author_facet | Ćirković Saša T. Ristić-Đurović Jasna L. Ilić Anđelija Nešković Nebojša Vorozhtsov Alexey S. Vorozhtsov Sergey B. |
| author_sort | Ćirković Saša T. |
| collection | DOAJ |
| description | In an isochronous relativistic cyclotron, axial defocusing of a beam caused by the radial growth of the isochronous magnetic field is compensated by the azimuthal field gradient introduced by sectors. The focusing capabilities of sectors set the maximum ion energy obtainable from the machine. Usually, the focusing limit of a machine is determined by using the criterion for axial beam instability evolving from the equations of betatron oscillations. The obtained value of the focusing limit is approximate because the equations of betatron oscillations it originates from are approximate as well. The accurate value of the focusing limit is obtained by simulating accelerated beam dynamics in the extraction region. It is shown that the focusing limit of a cyclotron resulting from the two methods could differ for more than 9%. The suggested third method for focusing limit computation relies on the beam dynamics simulation along the critical equilibrium orbit rather than the acceleration orbit and thus it is less time consuming although equally accurate. |
| first_indexed | 2024-12-10T17:23:34Z |
| format | Article |
| id | doaj.art-5d4e152ba4084b34a786638b62360ec4 |
| institution | Directory Open Access Journal |
| issn | 1451-3994 |
| language | English |
| last_indexed | 2024-12-10T17:23:34Z |
| publishDate | 2006-01-01 |
| publisher | VINCA Institute of Nuclear Sciences |
| record_format | Article |
| series | Nuclear Technology and Radiation Protection |
| spelling | doaj.art-5d4e152ba4084b34a786638b62360ec42022-12-22T01:39:55ZengVINCA Institute of Nuclear SciencesNuclear Technology and Radiation Protection1451-39942006-01-01212404610.2298/NTRP0602040CFocusing limit of a cyclotron: Axial betatron instability against beam dynamics approachĆirković Saša T.Ristić-Đurović Jasna L.Ilić AnđelijaNešković NebojšaVorozhtsov Alexey S.Vorozhtsov Sergey B.In an isochronous relativistic cyclotron, axial defocusing of a beam caused by the radial growth of the isochronous magnetic field is compensated by the azimuthal field gradient introduced by sectors. The focusing capabilities of sectors set the maximum ion energy obtainable from the machine. Usually, the focusing limit of a machine is determined by using the criterion for axial beam instability evolving from the equations of betatron oscillations. The obtained value of the focusing limit is approximate because the equations of betatron oscillations it originates from are approximate as well. The accurate value of the focusing limit is obtained by simulating accelerated beam dynamics in the extraction region. It is shown that the focusing limit of a cyclotron resulting from the two methods could differ for more than 9%. The suggested third method for focusing limit computation relies on the beam dynamics simulation along the critical equilibrium orbit rather than the acceleration orbit and thus it is less time consuming although equally accurate.http://www.doiserbia.nb.rs/img/doi/1451-3994/2006/1451-39940602040C.pdfcyclotronfocusingbeaminstabilitybetatron oscillations |
| spellingShingle | Ćirković Saša T. Ristić-Đurović Jasna L. Ilić Anđelija Nešković Nebojša Vorozhtsov Alexey S. Vorozhtsov Sergey B. Focusing limit of a cyclotron: Axial betatron instability against beam dynamics approach Nuclear Technology and Radiation Protection cyclotron focusing beam instability betatron oscillations |
| title | Focusing limit of a cyclotron: Axial betatron instability against beam dynamics approach |
| title_full | Focusing limit of a cyclotron: Axial betatron instability against beam dynamics approach |
| title_fullStr | Focusing limit of a cyclotron: Axial betatron instability against beam dynamics approach |
| title_full_unstemmed | Focusing limit of a cyclotron: Axial betatron instability against beam dynamics approach |
| title_short | Focusing limit of a cyclotron: Axial betatron instability against beam dynamics approach |
| title_sort | focusing limit of a cyclotron axial betatron instability against beam dynamics approach |
| topic | cyclotron focusing beam instability betatron oscillations |
| url | http://www.doiserbia.nb.rs/img/doi/1451-3994/2006/1451-39940602040C.pdf |
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