Proof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beam

In this paper we present a mathematical proof to show that there exists no linear system of optics which can simultaneously close an orbit bump and correct the dispersion in the CR2 injection region. Due to the requirements of the CR2 injection region, several different trajectories will exist throu...

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Detalles Bibliográficos
Autores principales: Apsimon, Robert, Esberg, Jakob
Lenguaje:eng
Publicado: 2014
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/1757504
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author Apsimon, Robert
Esberg, Jakob
author_facet Apsimon, Robert
Esberg, Jakob
author_sort Apsimon, Robert
collection CERN
description In this paper we present a mathematical proof to show that there exists no linear system of optics which can simultaneously close an orbit bump and correct the dispersion in the CR2 injection region. Due to the requirements of the CR2 injection region, several different trajectories will exist through the injection region which are off-axis; therefore the orbit and dispersion functions need to be corrected. In this paper, we determine the properties of a hypothetical linear lattice which is capable of closing the orbit and dispersion functions and then show that the resulting solutions are either unphysical or trivial. Geneva.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
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spelling cern-17575042023-07-20T15:07:15Zhttp://cds.cern.ch/record/1757504engApsimon, RobertEsberg, JakobProof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beamAccelerators and Storage RingsIn this paper we present a mathematical proof to show that there exists no linear system of optics which can simultaneously close an orbit bump and correct the dispersion in the CR2 injection region. Due to the requirements of the CR2 injection region, several different trajectories will exist through the injection region which are off-axis; therefore the orbit and dispersion functions need to be corrected. In this paper, we determine the properties of a hypothetical linear lattice which is capable of closing the orbit and dispersion functions and then show that the resulting solutions are either unphysical or trivial. Geneva.CERN-OPEN-2014-045CLIC-Note-1035oai:cds.cern.ch:17575042014-08-14
spellingShingle Accelerators and Storage Rings
Apsimon, Robert
Esberg, Jakob
Proof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beam
title Proof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beam
title_full Proof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beam
title_fullStr Proof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beam
title_full_unstemmed Proof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beam
title_short Proof of the nonexistence of a linear solution for the CR2 injection region of the CLIC drive beam
title_sort proof of the nonexistence of a linear solution for the cr2 injection region of the clic drive beam
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/1757504
work_keys_str_mv AT apsimonrobert proofofthenonexistenceofalinearsolutionforthecr2injectionregionoftheclicdrivebeam
AT esbergjakob proofofthenonexistenceofalinearsolutionforthecr2injectionregionoftheclicdrivebeam

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