HIF 2010
18th International Symposium
on Heavy Ion Inertial Fusion -
Information

Title:	Prof.
Family Name:	Davidson
First Name:	Ronald
E-Mail:	rdavidsonpppl.gov
Affiliation for Badge:	Princeton University
Institute:	Princeton Plasma Physics Laboratory
Address (Street):	Princeton University
Postal Code, City:	P.O Box 451, Princeton, NewJersey, 08543
Country:	United States
Phone:	609-243-3552
Fax:	609-243-2418
Payment:	Cash at the conference site
Author(s):	Ronald C. Davidson, Edward A. Startsev and Hong Qin
Institute(s):	Plasma Physics Laboratory, Princeton University, Princeton, New Jersey, 08543 USA
Title:	Self-Consistent Kinetic Description of the Longitudinal Dynamics of Intense Charged Particle Beams *
Abstract:	A self-consistent kinetic model is developed that describes the longitudinal dynamics of a long, coasting beam propagating in straight (linear) geometry in the z-direction in the smooth-focusing approximation. Making use of the three-dimensional Vlasov-Maxwell equations, and integrating over the phase space transverse to beam propagation, a closed system of equations is obtained for the nonlinear evolution of the longitudinal distribution function and average axial electric field. The primary assumptions in the present analysis are that the dependence on axial momentum of the distribution function is factorable, and that the transverse beam dynamics remains relatively quiescent (absence of transverse instability or beam mismatch). The analysis is carried out correct to second order in (R/L) assuming slow axial variation. Here, L is the length scale of axial variation in the line density , and R is the radius of the conducting wall (assumed perfectly conducting). A closed expression for the average longitudinal electric field, expressed in terms of geometric factors, the line density, and its derivatives, is presented for a large class of bell-shaped density profiles. The general formalism described in this paper is valid for the entire range of beam intensities, ranging from low-intensity, emittance-dominated beams, to very- high-intensity, space-charge-dominated beams. The properties of the solitary-wave structures are also investigated. * Research supported by the U. S. Department of Energy.
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