Bulletin of the American Physical Society
49th Annual Meeting of the Division of Plasma Physics
Volume 52, Number 11
Monday–Friday, November 12–16, 2007; Orlando, Florida
Session JP8: Poster Session IV: Education and Outreach; Undergraduate Research; Electron and Ion Beam/Space Charge; DIII-D I; Reversed Field Pinches; Energetic Ions and Electrons in Helicons
Tuesday, November 13, 2007
Rosen Centre Hotel Room: Grand Ballroom, 2:00pm - 5:00pm
Abstract ID: BAPS.2007.DPP.JP8.58
Abstract: JP8.00058 : Warm-fluid theory of a thermal equilibrium for a charged-particle beam in a periodic quadrupole magnetic focusing field*
Preview Abstract Abstract
A new warm-fluid thermal equilibrium theory is developed for charged-particle beam propagation in a periodic quadrupole magnetic focusing field. Warm-fluid equilibrium equations are solved in the paraxial approximation. The equation of state for the thermal equilibrium is adiabatic. The beam density profile, the beam envelope equations and self-consistent Poisson equation are derived. The numerical algorithm for solving the self-consistent Poisson equation is discussed. Examples of thermal beam equilibrium will be presented for low intensity and high intensity beams propagating in periodic quadrupole magnetic focusing fields.
*Research supported by Department of Energy, Office of High-Energy Physics, Grant No. DE-FG02-95ER40919, and Air Force Office of Scientific Research, Grant No. FA9550-06-1-0269.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2007.DPP.JP8.58
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