A physical parametrization of coupled transverse dynamics based on generalized Courant-Snyder theory and its applications

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3142472· OSTI ID:21277063

Hong, Qin; Davidson, Ronald C ^[1]

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1. Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)

A physical parametrization of coupled transverse dynamics is developed by generalizing the Courant-Snyder (CS) theory for one degree of freedom to the case of coupled transverse dynamics with two degrees of freedom. The four basic components of the original CS theory, i.e., the envelope equation, phase advance, transfer matrix, and CS invariant, all have their counterparts with remarkably similar expressions in the generalized theory. Applications of the new theory are given. It is discovered that the stability of coupled dynamics is completely determined by the generalized phase advance.

• OSTI ID: 21277063
• Journal Information: Physics of Plasmas, Vol. 16, Issue 5; Other Information: DOI: 10.1063/1.3142472; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

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