Twiss parameters and beam matrix formulation of generalized Courant-Snyder theory for coupled transverse beam dynamics

Chung, Moses; Qin, Hong; Davidson, Ronald C

doi:10.1063/1.3474930

Title: Twiss parameters and beam matrix formulation of generalized Courant-Snyder theory for coupled transverse beam dynamics

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Abstract

Courant-Snyder (CS) theory for one degree of freedom has recently been generalized by Qin and Davidson to the case of coupled transverse dynamics with two degrees of freedom. The generalized theory has four basic components of the original CS theory, i.e., the envelope equation, phase advance, transfer matrix, and the CS invariant, all of which have their counterparts in the original CS theory with remarkably similar expressions and physical meanings. In this brief communication, we further extend this remarkable similarity between the original and generalized CS theories and construct the Twiss parameters and beam matrix in generalized forms for the case of a strong coupling system.

Authors:: Chung, Moses; Qin, Hong; Davidson, Ronald C

Publication Date:: Thu Jul 01 00:00:00 EDT 2010

Research Org.:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 993552

Report Number(s):: FERMILAB-PUB-10-218-APC
Journal ID: ISSN 1070-664X; TRN: US1008099

DOE Contract Number:: AC02-07CH11359

Resource Type:: Journal Article

Journal Name:: Submitted to Physics of Plasmas

Additional Journal Information:: Journal Volume: 17; Journal Issue: 8; Journal ID: ISSN 1070-664X

Country of Publication:: United States

Language:: English

Subject:: 43 PARTICLE ACCELERATORS; BEAM DYNAMICS; DEGREES OF FREEDOM; ACCELERATORS; Accelerators

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                    Chung, Moses, /Fermilab, Qin, Hong, Davidson, Ronald C, and /Princeton U., Plasma Physics Lab. Twiss parameters and beam matrix formulation of generalized Courant-Snyder theory for coupled transverse beam dynamics.  United States: N. p., 2010. 
        Web.  doi:10.1063/1.3474930.

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                    Chung, Moses, /Fermilab, Qin, Hong, Davidson, Ronald C, & /Princeton U., Plasma Physics Lab. Twiss parameters and beam matrix formulation of generalized Courant-Snyder theory for coupled transverse beam dynamics.  United States.  https://doi.org/10.1063/1.3474930

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                    Chung, Moses, /Fermilab, Qin, Hong, Davidson, Ronald C, and /Princeton U., Plasma Physics Lab. 2010.  
        "Twiss parameters and beam matrix formulation of generalized Courant-Snyder theory for coupled transverse beam dynamics".  United States.  https://doi.org/10.1063/1.3474930.  https://www.osti.gov/servlets/purl/993552.

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@article{osti_993552,

  title        = {Twiss parameters and beam matrix formulation of generalized Courant-Snyder theory for coupled transverse beam dynamics},

  author       = {Chung, Moses and /Fermilab and Qin, Hong and Davidson, Ronald C and /Princeton U., Plasma Physics Lab.},

  abstractNote = {Courant-Snyder (CS) theory for one degree of freedom has recently been generalized by Qin and Davidson to the case of coupled transverse dynamics with two degrees of freedom. The generalized theory has four basic components of the original CS theory, i.e., the envelope equation, phase advance, transfer matrix, and the CS invariant, all of which have their counterparts in the original CS theory with remarkably similar expressions and physical meanings. In this brief communication, we further extend this remarkable similarity between the original and generalized CS theories and construct the Twiss parameters and beam matrix in generalized forms for the case of a strong coupling system.},

  doi          = {10.1063/1.3474930},

  url          = {https://www.osti.gov/biblio/993552},
  journal      = {Submitted to Physics of Plasmas},

  issn         = {1070-664X},

  number       = 8,

  volume       = 17,

  place        = {United States},

  year         = {Thu Jul 01 00:00:00 EDT 2010},

  month        = {Thu Jul 01 00:00:00 EDT 2010}

}

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