Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory

Qin, Hong; Davidson, Ronald C.; Burby, Joshua W.; Chung, Moses

doi:10.1103/PhysRevSTAB.17.044001

Title: Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory

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Authors:: Qin, Hong; Davidson, Ronald C.; Burby, Joshua W.; Chung, Moses

Publication Date:: Tue Apr 08 00:00:00 EDT 2014

Sponsoring Org.:: USDOE

OSTI Identifier:: 1181404

Grant/Contract Number:: AC02-09CH11466; AC02-07CH11359

Resource Type:: Published Article

Journal Name:: Physical Review Special Topics - Accelerators and Beams

Additional Journal Information:: Journal Volume: 17; Journal Issue: 4; Journal ID: ISSN 1098-4402

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

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                    Qin, Hong, Davidson, Ronald C., Burby, Joshua W., and Chung, Moses. Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory.  United States: N. p., 2014. 
Web.  doi:10.1103/PhysRevSTAB.17.044001.

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                    Qin, Hong, Davidson, Ronald C., Burby, Joshua W., & Chung, Moses. Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory.  United States.  https://doi.org/10.1103/PhysRevSTAB.17.044001

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                    Qin, Hong, Davidson, Ronald C., Burby, Joshua W., and Chung, Moses. Tue .  
"Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory".  United States.  https://doi.org/10.1103/PhysRevSTAB.17.044001.

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@article{osti_1181404,

  title        = {Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory},

  author       = {Qin, Hong and Davidson, Ronald C. and Burby, Joshua W. and Chung, Moses},

  abstractNote = {},

  doi          = {10.1103/PhysRevSTAB.17.044001},

  journal      = {Physical Review Special Topics - Accelerators and Beams},

  number       = 4,

  volume       = 17,

  place        = {United States},

  year         = {Tue Apr 08 00:00:00 EDT 2014},

  month        = {Tue Apr 08 00:00:00 EDT 2014}

}

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Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory

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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.more »« less
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