Analytical approach to chromatic correction in the final focus system of circular colliders
Abstract
Here, 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$$*\atop{y}$$)δ, where L* is the distance from the interaction point to the first quadrupole, β$$*\atop{y}$$ 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.
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1333610
- Alternate Identifier(s):
- OSTI ID: 1334236
- Report Number(s):
- SLAC-PUB-16877
Journal ID: ISSN 2469-9888; PRABFM; 111006
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 19 Journal Issue: 11; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS; ACCPHY
Citation Formats
Cai, Yunhai. Analytical approach to chromatic correction in the final focus system of circular colliders. United States: N. p., 2016.
Web. doi:10.1103/PhysRevAccelBeams.19.111006.
Cai, Yunhai. Analytical approach to chromatic correction in the final focus system of circular colliders. United States. https://doi.org/10.1103/PhysRevAccelBeams.19.111006
Cai, Yunhai. Mon .
"Analytical approach to chromatic correction in the final focus system of circular colliders". United States. https://doi.org/10.1103/PhysRevAccelBeams.19.111006.
@article{osti_1333610,
title = {Analytical approach to chromatic correction in the final focus system of circular colliders},
author = {Cai, Yunhai},
abstractNote = {Here, 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$*\atop{y}$)δ, where L* is the distance from the interaction point to the first quadrupole, β$*\atop{y}$ 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.},
doi = {10.1103/PhysRevAccelBeams.19.111006},
journal = {Physical Review Accelerators and Beams},
number = 11,
volume = 19,
place = {United States},
year = {Mon Nov 28 00:00:00 EST 2016},
month = {Mon Nov 28 00:00:00 EST 2016}
}
https://doi.org/10.1103/PhysRevAccelBeams.19.111006
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