科技报告详细信息
Generalized Kapchinskij-Vladimirskij Distribution and Envelope Equation for High-intensity Beams in a Coupled Transverse Focusing Lattice | |
Hong Qin, Moses Chung, and Ronald C. Davidson | |
Princeton University. Plasma Physics Laboratory. | |
关键词: Boltzmann-Vlasov Equation; 70 Plasma Physics And Fusion Technology; Distribution Functions; Focusing; Configuration; | |
DOI : 10.2172/969304 RP-ID : PPPL-4471 RP-ID : DE-ACO2-09CH11466 RP-ID : 969304 |
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美国|英语 | |
来源: UNT Digital Library | |
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【 摘 要 】
In an uncoupled lattice, the Kapchinskij-Vladimirskij (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 here to high-intensity beams in a coupled transverse lattice using the recently developed generalized Courant-Snyder invariant for coupled transverse dynamics. This solution projects to a rotating, pulsating elliptical beam in transverse configuration space, determined by the generalized matrix envelope equation.【 预 览 】
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969304.pdf | 447KB | ![]() |