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Physics of Plasmas / Volume 18 / Issue 5 / PAPERS FROM THE 52ND ANNUAL MEETING OF THE APS DIVISION OF PLASMA PHYSICS / INVITED PAPERS / Lasers, Particle Beams, Accelerators, Radiation Generation

Phys. Plasmas 18, 056708 (2011); http://dx.doi.org/10.1063/1.3574919 (10 pages)

Generalized Courant–Snyder theory and Kapchinskij–Vladimirskij distribution for high-intensity beams in a coupled transverse focusing lattice a

a Paper KI3 2, Bull. Am. Phys. Soc. 55, 189 (2010).
Hong Qin1,2 and Ronald C. Davidson2

1Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA
2Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China

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(Received 21 December 2010; accepted 3 March 2011; published online 5 May 2011)

The Courant–Snyder (CS) theory and the Kapchinskij–Vladimirskij (KV) distribution for high-intensity beams in an uncoupled focusing lattice are generalized to the case of coupled transverse dynamics. The envelope function is generalized to an envelope matrix, and the envelope equation becomes a matrix envelope equation with matrix operations that are noncommutative. In an uncoupled lattice, the KV distribution function, first analyzed in 1959, is the only known exact solution of the nonlinear Vlasov-Maxwell equations for high-intensity beams including self-fields in a self-consistent manner. The KV solution is generalized to high-intensity beams in a coupled transverse lattice using the generalized CS invariant. This solution projects to a rotating, pulsating elliptical beam in transverse configuration space. The fully self-consistent solution reduces the nonlinear Vlasov-Maxwell equations to a nonlinear matrix ordinary differential equation for the envelope matrix, which determines the geometry of the pulsating and rotating beam ellipse. These results provide us with a new theoretical tool to investigate the dynamics of high-intensity beams in a coupled transverse lattice. A strongly coupled lattice, a so-called N-rolling lattice, is studied as an example. It is found that strong coupling does not deteriorate the beam quality. Instead, the coupling induces beam rotation and reduces beam pulsation.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. VLASOV-MAXWELL SYSTEM FOR HIGH-INTENSITY BEAM IN COUPLED FOCUSING LATTICE
  3. COURANT–SNYDER THEORY AND KAPCHINSKIJ–VLADIMIRSKIJ DISTRIBUTION FOR HIGH-INTENSITY BEAM IN UNCOUPLED FOCUSING LATTICE
  4. GENERALIZED COURANT–SNYDER THEORY FOR HIGH-INTENSITY BEAM IN A COUPLED FOCUSING LATTICE
  5. GENERALIZED KAPCHINSKIJ–VLADIMIRSKIJ DISTRIBUTION FOR A HIGH-INTENSITY BEAM IN COUPLED FOCUSING LATTICES
  6. CONCLUSIONS

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KEYWORDS and PACS

Keywords

Maxwell equations, nonlinear differential equations, particle beam dynamics, particle beam focusing, Vlasov equation

PACS

  • 41.75.-i

    Charged-particle beams

  • 41.85.Lc

    Particle beam focusing and bending magnets, wiggler magnets, and quadrupoles

  • 29.25.-t

    Particle sources and targets

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3574919

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    Y. Cai, Phys. Rev. E 68, 036501 (2003).

    R. Talman, Phys. Rev. Lett. 74, 1590 (1995).

    J. Krall, S. Slinker, M. Lampe, and G. Joyce, J. Appl. Phys. 77, 463 (1995)JAPIAU000077000002000463000001.

    H. Qin, M. Chung, and R. C. Davidson, Phys. Rev. Lett. 103, 224802 (2009).

    H. Qin and R. C. Davidson, Phys. Rev. ST Accel. Beams 12, 064001 (2009).

    H. Qin and R. C. Davidson, Phys. Plasmas 16, 050705 (2009)PHPAEN000016000005050705000001.

    M. Chung, H. Qin, and R. C. Davidson, Phys. Plasmas 17, 084502 (2010)PHPAEN000017000008084502000001.

    C. Chen, R. Parker, and R. C. Davidson, Phy. Rev. Lett. 79, 225 (1997).

    H. Qin and R. C. Davidson, Phys. Rev. ST Accel. Beams 9, 054001 (2006).

    H. Qin and R. C. Davidson, Phys. Rev. Lett. 96, 085003 (2006).


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