Efficient control of accelerator maps

Jehan Boreux, Timoteo Carletti, Charalampos Skokos, Yannis Papaphilippou, Michel Vittot

Research output: Book/Report/JournalOther report

Abstract

Recently, the Hamiltonian Control Theory was used in [Boreux et al., 2012] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this paper, these results are extended by proving that a simplified version of the obtained general control term leads to significant improvements of the dynamic aperture of the uncontrolled model. In addition, the dynamics of flat beams based on the same accelerator model can be significantly improved by a reduced controlled term applied in only one degree of freedom. © 2012 World Scientific Publishing Company.
Original languageEnglish
Place of PublicationNamur
PublisherFUNDP. Namur center for complex systems
Volume2
Edition10
Publication statusPublished - 4 Apr 2011

Publication series

NamenaXys Technical Reports Series
PublisherUniversity of Namur
No.10
Volume2

Fingerprint

accelerators
apertures
particle accelerators
control theory
magnets
degrees of freedom
rings

Keywords

  • Symplectic maps
  • Hamiltonian control
  • Particle accelerators
  • SALI method
  • Dynamical aperture

Cite this

Boreux, J., Carletti, T., Skokos, C., Papaphilippou, Y., & Vittot, M. (2011). Efficient control of accelerator maps. (10 ed.) (naXys Technical Reports Series; Vol. 2, No. 10). Namur: FUNDP. Namur center for complex systems.
Boreux, Jehan ; Carletti, Timoteo ; Skokos, Charalampos ; Papaphilippou, Yannis ; Vittot, Michel. / Efficient control of accelerator maps. 10 ed. Namur : FUNDP. Namur center for complex systems, 2011. (naXys Technical Reports Series; 10).
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abstract = "Recently, the Hamiltonian Control Theory was used in [Boreux et al., 2012] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this paper, these results are extended by proving that a simplified version of the obtained general control term leads to significant improvements of the dynamic aperture of the uncontrolled model. In addition, the dynamics of flat beams based on the same accelerator model can be significantly improved by a reduced controlled term applied in only one degree of freedom. {\circledC} 2012 World Scientific Publishing Company.",
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Boreux, J, Carletti, T, Skokos, C, Papaphilippou, Y & Vittot, M 2011, Efficient control of accelerator maps. naXys Technical Reports Series, no. 10, vol. 2, vol. 2, 10 edn, FUNDP. Namur center for complex systems, Namur.

Efficient control of accelerator maps. / Boreux, Jehan; Carletti, Timoteo; Skokos, Charalampos; Papaphilippou, Yannis; Vittot, Michel.

10 ed. Namur : FUNDP. Namur center for complex systems, 2011. (naXys Technical Reports Series; Vol. 2, No. 10).

Research output: Book/Report/JournalOther report

TY - BOOK

T1 - Efficient control of accelerator maps

AU - Boreux, Jehan

AU - Carletti, Timoteo

AU - Skokos, Charalampos

AU - Papaphilippou, Yannis

AU - Vittot, Michel

N1 - Publication code : FP SB092/2011/10 ; SB04977/2011/10

PY - 2011/4/4

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N2 - Recently, the Hamiltonian Control Theory was used in [Boreux et al., 2012] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this paper, these results are extended by proving that a simplified version of the obtained general control term leads to significant improvements of the dynamic aperture of the uncontrolled model. In addition, the dynamics of flat beams based on the same accelerator model can be significantly improved by a reduced controlled term applied in only one degree of freedom. © 2012 World Scientific Publishing Company.

AB - Recently, the Hamiltonian Control Theory was used in [Boreux et al., 2012] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this paper, these results are extended by proving that a simplified version of the obtained general control term leads to significant improvements of the dynamic aperture of the uncontrolled model. In addition, the dynamics of flat beams based on the same accelerator model can be significantly improved by a reduced controlled term applied in only one degree of freedom. © 2012 World Scientific Publishing Company.

KW - Symplectic maps

KW - Hamiltonian control

KW - Particle accelerators

KW - SALI method

KW - Dynamical aperture

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T3 - naXys Technical Reports Series

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PB - FUNDP. Namur center for complex systems

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Boreux J, Carletti T, Skokos C, Papaphilippou Y, Vittot M. Efficient control of accelerator maps. 10 ed. Namur: FUNDP. Namur center for complex systems, 2011. (naXys Technical Reports Series; 10).