Published November 20, 2009 | Version v1
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Generalized Kapchinskij-Vladimirskij Distribution and Envelope Equation for High-intensity Beams in a Coupled Transverse Focusing Lattice

Creators

Description

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.

Availability note (English)

Also available from OSTI as DE00969304; PURL: https://www.osti.gov/servlets/purl/969304-bHt0aU/

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Additional details

Identifiers

URL
https://www.osti.gov/servlets/purl/969304-bHt0aU/;
DOI
10.2172/969304;

Publishing Information

Publisher
Physical Review Letters (August 2009)
Imprint Pagination
14 p.
Report number
PPPL--4471

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
41030194
Subject category
S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
Descriptors DEI
BOLTZMANN-VLASOV EQUATION; CONFIGURATION; DISTRIBUTION; DISTRIBUTION FUNCTIONS; EXACT SOLUTIONS; FOCUSING
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Contract/Grant/Project number
ACO2-09CH11466
Notes
doi 10.2172/969304
Funding organization
USDOE Office of Science (United States)