Generalized Kapchinskij-Vladimirskij Distribution and Envelope Equation for High-Intensity Beams in a Coupled Transverse Focusing Lattice
Journal Article
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· Physical Review Letters
- Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)
- Accelerator Physics Center, Fermi National Accelerator Laboratory, Batavia, Illinois 60510 (United States)
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.
- OSTI ID:
- 21370868
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 103; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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