Betatron coupling: Merging Hamiltonian and matrix approaches
Betatron coupling is usually analyzed using either matrix formalism or Hamiltonian perturbation theory. The latter is less exact but provides a better physical insight. In this paper direct relations are derived between the two formalisms. This makes it possible to interpret the matrix approach in t...
| Główni autorzy: | , , |
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| Format: | Artykuł |
| Język: | English |
| Wydane: |
American Physical Society
2005-03-01
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| Seria: | Physical Review Special Topics. Accelerators and Beams |
| Dostęp online: | http://doi.org/10.1103/PhysRevSTAB.8.034001 |
| _version_ | 1831828400440868864 |
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| author | R. Calaga R. Tomás A. Franchi |
| author_facet | R. Calaga R. Tomás A. Franchi |
| author_sort | R. Calaga |
| collection | DOAJ |
| description | Betatron coupling is usually analyzed using either matrix formalism or Hamiltonian perturbation theory. The latter is less exact but provides a better physical insight. In this paper direct relations are derived between the two formalisms. This makes it possible to interpret the matrix approach in terms of resonances, as well as use results of both formalisms indistinctly. An approach to measure the complete coupling matrix and its determinant from turn-by-turn data is presented. Simulations using methodical accelerator design MAD-X, an accelerator design and tracking program, were performed to validate the relations and understand the scope of their application to real accelerators such as the Relativistic Heavy Ion Collider. |
| first_indexed | 2024-12-23T02:19:22Z |
| format | Article |
| id | doaj.art-0b2a5917e6944b51af2274b0256ac09f |
| institution | Directory Open Access Journal |
| issn | 1098-4402 |
| language | English |
| last_indexed | 2024-12-23T02:19:22Z |
| publishDate | 2005-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Special Topics. Accelerators and Beams |
| spelling | doaj.art-0b2a5917e6944b51af2274b0256ac09f2022-12-21T18:03:35ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022005-03-018303400110.1103/PhysRevSTAB.8.034001Betatron coupling: Merging Hamiltonian and matrix approachesR. CalagaR. TomásA. FranchiBetatron coupling is usually analyzed using either matrix formalism or Hamiltonian perturbation theory. The latter is less exact but provides a better physical insight. In this paper direct relations are derived between the two formalisms. This makes it possible to interpret the matrix approach in terms of resonances, as well as use results of both formalisms indistinctly. An approach to measure the complete coupling matrix and its determinant from turn-by-turn data is presented. Simulations using methodical accelerator design MAD-X, an accelerator design and tracking program, were performed to validate the relations and understand the scope of their application to real accelerators such as the Relativistic Heavy Ion Collider.http://doi.org/10.1103/PhysRevSTAB.8.034001 |
| spellingShingle | R. Calaga R. Tomás A. Franchi Betatron coupling: Merging Hamiltonian and matrix approaches Physical Review Special Topics. Accelerators and Beams |
| title | Betatron coupling: Merging Hamiltonian and matrix approaches |
| title_full | Betatron coupling: Merging Hamiltonian and matrix approaches |
| title_fullStr | Betatron coupling: Merging Hamiltonian and matrix approaches |
| title_full_unstemmed | Betatron coupling: Merging Hamiltonian and matrix approaches |
| title_short | Betatron coupling: Merging Hamiltonian and matrix approaches |
| title_sort | betatron coupling merging hamiltonian and matrix approaches |
| url | http://doi.org/10.1103/PhysRevSTAB.8.034001 |
| work_keys_str_mv | AT rcalaga betatroncouplingmerginghamiltonianandmatrixapproaches AT rtomas betatroncouplingmerginghamiltonianandmatrixapproaches AT afranchi betatroncouplingmerginghamiltonianandmatrixapproaches |