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- Chung, Moses
- Intense Beam and Accelerator Lab.
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Generalized Kapchinskij-Vladimirskij Distribution and Envelope Equation for High-Intensity Beams in a Coupled Transverse Focusing Lattice
- Author(s)
- Qin, Hong, Chung, Moses, Davidson, Ronald C.
- Issued Date
- 2009-11
- Citation
- PHYSICAL REVIEW LETTERS, v.103, no.22
- Abstract
- 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
- Publisher
- AMER PHYSICAL SOC
- ISSN
- 0031-9007
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