Efficient control of accelerator maps

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

Efficient control of accelerator maps

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

Namur Institute for Complex Systems

Research output: Book/Report/Journal › Other 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 language	English
Place of Publication	Namur
Publisher	FUNDP. Namur center for complex systems
Volume	2
Edition	10
Publication status	Published - 4 Apr 2011

Publication series

Name	naXys Technical Reports Series
Publisher	University of Namur
No.	10
Volume	2

Keywords

Symplectic maps
Hamiltonian control
Particle accelerators
SALI method
Dynamical aperture

1 Finished
1 Active

Management and development of the intensive numerical computation cluster
Carletti, T. (CoI), DELSATE, N. (Researcher) & Fuzfa, A. (CoI)
8/01/08 → …
Project: Research
Long range interactions. The Hamiltonian Mean Field, a model system.
BOREUX, J. (Researcher) & Carletti, T. (CoI)
1/10/08 → 30/09/14
Project: PHD

Cite this

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title = "Efficient control of accelerator maps",

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. {\textcopyright} 2012 World Scientific Publishing Company.",

keywords = "Symplectic maps, Hamiltonian control, Particle accelerators, SALI method, Dynamical aperture",

author = "Jehan Boreux and Timoteo Carletti and Charalampos Skokos and Yannis Papaphilippou and Michel Vittot",

note = "Publication code : FP SB092/2011/10 ; SB04977/2011/10",

year = "2011",

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language = "English",

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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

Y1 - 2011/4/4

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

M3 - Other report

VL - 2

T3 - naXys Technical Reports Series

BT - Efficient control of accelerator maps

PB - FUNDP. Namur center for complex systems

CY - Namur

ER -

Efficient control of accelerator maps

Abstract

Publication series

Keywords

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Projects

Management and development of the intensive numerical computation cluster

Long range interactions. The Hamiltonian Mean Field, a model system.

Cite this