Theory of Electromagnetic Instability of an Intense Beam in a Quadrupole Focusing System

Abstract

Discrete quadrupole focusing system are subject to an electromagnetic instability wherein the growing transverse motion of the beam interacts with the quadrupole field and the TE sub 11 waveguide mode. The dispersion relation is derived, which is a matrix equation of infinite dimension. We show that an appropriately truncated matrix equation is able to give exact growth rates. Furthermore, analytical growth rates are obtained and instability boundaries are established. Numerical solutions of the dispersion relation show that the overall stability properties are not favorable for long pulse, high-current electron beams. The stability properties of ion beams are also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 18, 1992
Accession Number
ADA246560

Entities

People

  • Cha-Mei Tang
  • Jonathan F. Krall
  • T. Sywden

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Charged Particles
  • Dispersion Relations
  • Dispersions
  • Electron Beams
  • Electrons
  • Equations
  • Group Velocity
  • Instability
  • Ion Beams
  • Ions
  • Magnetic Fields
  • Particle Beams
  • Radiation
  • Transverse
  • Waveguides

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Directed Energy
  • Microelectronics