Fokker-Planck approach to the dynamics of mismatched charged-particle beams

Journal Article · Mon Aug 01 00:00:00 EDT 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.50.1516· OSTI ID:7002178

Bohn, C L; Delayen, J R ^[1]

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1. Technology Development Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)

A semianalytic formalism is constructed for investigating the transverse dynamics of intense, mismatched charged-particle beams which are centered on, and propagate through, focusing channels. It uses the Fokker-Planck equation to account for the rapid evolution of the coarse-grained distribution function in the phase space of a single beam particle. It also incorporates the space-charge potential, which is calculated from Poisson's equation using the coarse-grained density. A simple phenomenological model of dynamical friction and diffusion represents the effects of turbulence triggered by charge redistribution. Sheet beams and fully two-dimensional beams are both considered in detail. In addition, closed-form solutions are presented for beams in which the space charge is negligible and noise arises from other stochastic processes.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 7002178
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 50:2; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BEAM DYNAMICS
CHARGED PARTICLES
DISTRIBUTION FUNCTIONS
FOCUSING
FOKKER-PLANCK EQUATION
NOISE
PHASE SPACE
RELAXATION
TURBULENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics