Accession Number:

AD0643355

Title:

GENERAL THEORY OF RESISTIVE BEAM INSTABILITIES.

Descriptive Note:

Research paper,

Corporate Author:

INSTITUTE FOR DEFENSE ANALYSES ARLINGTON VA JASON DIV

Personal Author(s):

Report Date:

1966-05-01

Pagination or Media Count:

109.0

Abstract:

A study was made of all resistive instabilities of a self-pinched cylindrically symmetric beam of charged particles in a finite or infinite ohmic plasma channel. The problem is reduced to an ordinary second-order linear differential equation for the longitudinal component of the perturbed electric field. The equation can be solved for a uniform beam shape, yielding an implicit transcendental equation whose roots define the various modes. It is found that for each azimuthal quantum number m there are two infinite sequences of modes and two exceptional modes, except that some of these modes are missing for m 0, 1, and 2. In all modes stable oscillation is found at very low and very high frequencies, and instability at intermediate frequencies, the growth rates generally reaching maxima somewhat less than the betatron frequency. The largest maximum growth rate is in the hose mode the only exceptional mode for m 1 where it is approximately 0.29 betatron frequency. For a general smooth beam shape the catalog of modes is similar to that for a uniform beam, except that there also appears a continuous spectrum. Author

Subject Categories:

  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE