Low-Frequency Flute Instabilities of a Hollow Cathode Arc Discharge: Theory and Experiment,

Abstract

The characteristics of two low-frequency electrostatic flute instabilities of a low-pressure hollow cathode arc discharge are reported. Mode 1 has azimuthal mode number m=1, and occurs when the radial electric field is negative (directed inwards) while Mode 2 has m=-1 and occurs when the field is positive. The radial electric field is controlled by varying the potential of a secondary anode cylinder located close to the outer discharge radius. A linear perturbation analysis, based on the two-fluid equations, is given for a low-beta, collisionless cylindrical plasma column, immersed in a uniform axial magnetic field, having a Gaussian density profile and an arbitrary radial electric field profile. Reasonable correlation between theory and experiment is demonstrated for both modes, by comparing the calculated and measured frequencies, mode numbers, and also the eigenfunctions of the density and potential fluctuations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1972
Accession Number
AD0750478

Entities

People

  • D. B. Ilic
  • F. W. Crawford
  • S. A. Self
  • T. D. Rognlien

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Eigenvectors
  • Electric Arcs
  • Electric Fields
  • Equations
  • Frequency
  • Instability
  • Magnetic Fields
  • Mathematical Analysis
  • Mathematics
  • Perturbations

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Pulsed Power and Plasma Physics.