A Generalization of the K-V Equilibrium for an Intense, Relativistic Beam Propagating in a Solenoid

Abstract

A generalization of the Kapchinskij-Vladimirskij (K-V) equilibrium for an electron beam in a solenoid is derived by keeping higher order terms in an expansion of a Vlasov equilibrium. The radial profile of the charge density increases with r, whereas the radial profile of the K-V is flat. Space charge depression effects, the shear in longitudinal momentum and the self-induced longitudinal diamagnetic field are included. Numerical simulations of the beam transport in the Spiral Line Induction Accelerator (SLIA) illustrate the results. Relativistic charged particle beams, Vlasov equilibrium, Solenoidal transport.

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Document Details

Document Type
Technical Report
Publication Date
Feb 25, 1992
Accession Number
ADA247067

Entities

People

  • Glenn R. Joyce
  • Jonathan F. Krall
  • M. Lampe
  • S. Slinker

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Bessel Functions
  • Charge Density
  • Charged Particles
  • Current Density
  • Electron Beams
  • Electrons
  • Equations
  • Magnetic Fields
  • Momentum
  • Particle Accelerators
  • Particle Beams
  • Particles
  • Simulations
  • Solenoids
  • Space Charge
  • Transport Ships

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Directed Energy
  • Microelectronics
  • Space
  • Space - Hall-Effect Thruster