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

Journal Article · Thu Jul 01 00:00:00 EDT 2010 · Submitted to Physics of Plasmas

DOI:https://doi.org/10.1063/1.3474930· OSTI ID:993552

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

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.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 993552
• Report Number(s): FERMILAB-PUB-10-218-APC; TRN: US1008099
• Journal Information: Submitted to Physics of Plasmas, Vol. 17, Issue 8; ISSN 1070-664X
• Country of Publication: United States
• Language: English

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