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

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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 ... continued below

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10 pages

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Chung, Moses; /Fermilab; Qin, Hong; Davidson, Ronald C. & /Princeton U., Plasma Physics Lab. July 1, 2010.

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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.

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10 pages

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  • Journal Name: Submitted to Physics of Plasmas; Journal Volume: 17; Journal Issue: 8

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  • Report No.: FERMILAB-PUB-10-218-APC
  • Grant Number: AC02-07CH11359
  • DOI: 10.1063/1.3474930 | External Link
  • Office of Scientific & Technical Information Report Number: 993552
  • Archival Resource Key: ark:/67531/metadc1013666

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  • July 1, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Oct. 24, 2017, 7:35 p.m.

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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, article, July 1, 2010; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc1013666/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.