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STUDY OF THE IMPACT OF FRINGE FIELDS OF THE LARGE APERTURE TRIPLETS ON THE LINEAR OPTICS OF THE HL-LHC ∗

Bernhard Holzer, Sarah Kelly, Luke Thompson, Riccardo De Maria, Robert Appleby, Matthew Thomas, Stephan Russenschuck

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Abstract

High-luminosity hadron colliders such as the High Luminosity LHC (HL-LHC) project place demanding requirements on existing and new magnet technology. The very low β* achieved by the Achromatic Telescopic Squeeze (ATS) optics scheme for the HL-LHC in particular, requires large apertures in the high gradient Nb$_{3}$Sn final focusing inner triplet triplet. Such magnets have extended fringe fields which perturb the optics. This paper presents studies into the linear optics of the LHC using a range of fringe field models, including realistic fringe fields from prototype magnets, and presents calculations of the resulting beta-beating. Furthermore a similar study is presented on the nominal LHC optics, which uses final focus quadrupoles of higher gradient but significantly smaller aperture.

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High-luminosity hadron colliders such as the High Luminosity LHC (HL-LHC) project place demanding requirements on existing and new magnet technology. The very low β* achieved by the Achromatic Telescopic Squeeze (ATS) optics scheme for the HL-LHC in particular, requires large apertures in the high gradient Nb$_{3}$Sn final focusing inner triplet triplet. Such magnets have extended fringe fields which perturb the optics. This paper presents studies into the linear optics of the LHC using a range of fringe field models, including realistic fringe fields from prototype magnets, and presents calculations of the resulting beta-beating. Furthermore a similar study is presented on the nominal LHC optics, which uses final focus quadrupoles of higher gradient but significantly smaller aperture.

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Available abstract

High-luminosity hadron colliders such as the High Luminosity LHC (HL-LHC) project place demanding requirements on existing and new magnet technology. The very low β* achieved by the Achromatic Telescopic Squeeze (ATS) optics scheme for the HL-LHC in particular, requires large apertures in the high gradient Nb$_{3}$Sn final focusing inner triplet triplet. Such magnets have extended fringe fields which perturb the optics. This paper presents studies into the linear optics of the LHC using a range of fringe field models, including realistic fringe fields from prototype magnets, and presents calculations of the resulting beta-beating. Furthermore a similar study is presented on the nominal LHC optics, which uses final focus quadrupoles of higher gradient but significantly smaller aperture.

Key concepts: Achromatic lens, Large Hadron Collider, Physics, Optics, Aperture (computer memory), Magnet, Luminosity, Dynamic aperture

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