Analytical approach to chromatic correction in the final focus system of circular colliders
A conventional final focus system in particle accelerators is systematically analyzed. We find simple relations between the parameters of two focus modules in the final telescope. Using the relations, we derive the chromatic Courant-Snyder parameters for the telescope. The parameters are scaled appr...
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| Format: | Article |
| Language: | English |
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American Physical Society
2016-11-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.19.111006 |
| _version_ | 1818606128545660928 |
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| author | Yunhai Cai |
| author_facet | Yunhai Cai |
| author_sort | Yunhai Cai |
| collection | DOAJ |
| description | A conventional final focus system in particle accelerators is systematically analyzed. We find simple relations between the parameters of two focus modules in the final telescope. Using the relations, we derive the chromatic Courant-Snyder parameters for the telescope. The parameters are scaled approximately according to (L^{*}/β_{y}^{*})δ, where L^{*} is the distance from the interaction point to the first quadrupole, β_{y}^{*} the vertical beta function at the interaction point, and δ the relative momentum deviation. Most importantly, we show how to compensate its chromaticity order by order in δ by a traditional correction module flanked by an asymmetric pair of harmonic multipoles. The method enables a circular Higgs collider with 2% momentum aperture and illuminates a path forward to 4% in the future. |
| first_indexed | 2024-12-16T14:05:56Z |
| format | Article |
| id | doaj.art-04192fcbe4d244dfba98efc1caa04625 |
| institution | Directory Open Access Journal |
| issn | 2469-9888 |
| language | English |
| last_indexed | 2024-12-16T14:05:56Z |
| publishDate | 2016-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Accelerators and Beams |
| spelling | doaj.art-04192fcbe4d244dfba98efc1caa046252022-12-21T22:28:55ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882016-11-01191111100610.1103/PhysRevAccelBeams.19.111006Analytical approach to chromatic correction in the final focus system of circular collidersYunhai CaiA conventional final focus system in particle accelerators is systematically analyzed. We find simple relations between the parameters of two focus modules in the final telescope. Using the relations, we derive the chromatic Courant-Snyder parameters for the telescope. The parameters are scaled approximately according to (L^{*}/β_{y}^{*})δ, where L^{*} is the distance from the interaction point to the first quadrupole, β_{y}^{*} the vertical beta function at the interaction point, and δ the relative momentum deviation. Most importantly, we show how to compensate its chromaticity order by order in δ by a traditional correction module flanked by an asymmetric pair of harmonic multipoles. The method enables a circular Higgs collider with 2% momentum aperture and illuminates a path forward to 4% in the future.http://doi.org/10.1103/PhysRevAccelBeams.19.111006 |
| spellingShingle | Yunhai Cai Analytical approach to chromatic correction in the final focus system of circular colliders Physical Review Accelerators and Beams |
| title | Analytical approach to chromatic correction in the final focus system of circular colliders |
| title_full | Analytical approach to chromatic correction in the final focus system of circular colliders |
| title_fullStr | Analytical approach to chromatic correction in the final focus system of circular colliders |
| title_full_unstemmed | Analytical approach to chromatic correction in the final focus system of circular colliders |
| title_short | Analytical approach to chromatic correction in the final focus system of circular colliders |
| title_sort | analytical approach to chromatic correction in the final focus system of circular colliders |
| url | http://doi.org/10.1103/PhysRevAccelBeams.19.111006 |
| work_keys_str_mv | AT yunhaicai analyticalapproachtochromaticcorrectioninthefinalfocussystemofcircularcolliders |