Macroscopic extraordinary-mode stability properties of relativistic non-neutral electron flow in a planar diode with applied magnetic field

Journal Article · Sat Sep 01 00:00:00 EDT 1984 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.864889· OSTI ID:6528808

Davidson, R C; Tsang, K; Swegle, J A

Extraordinary-mode stability properties of relativistic non-neutral electron flow in a planar diode with applied magnetic field are investigated within the framework of the macroscopic cold-fluid-Maxwell equations. The eigenvalue equation is derived for flute perturbations (k/sub z/ = 0) about the general class of relativistic planar equilibria characterized by electron density profile n/sup 0//sub b/(x), sheared velocity profile V/sup 0//sub y/(x)= = -cE/sup 0//sub x/(x)/B/sup 0//sub z/(x), and relativistic mass factor ..gamma../sup 0//sub b/(x) = (1-E/sup 02//sub x/(x)/B/sup 02//sub z/(s))/sup -1/2/. The full influence of equilibrium self-electric and self-magnetic fields is retained in the analysis, and the cathode is located at x = 0 and the anode at x = d. The exact eigenvalue equation is simplified for low-frequency perturbations in the guiding-center limit of strongly magnetized electrons with m..-->..0.

• Research Organization: Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 6528808
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 27:9; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

640430* -- Fluid Physics-- Magnetohydrodynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COLD PLASMA
DIFFERENTIAL EQUATIONS
DIODE TUBES
EIGENVALUES
ELECTRON DENSITY
ELECTRON DRIFT
ELECTRON TUBES
ENERGY RANGE
EQUATIONS
EQUILIBRIUM
MAGNETIC FIELDS
MAXWELL EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
RELATIVISTIC RANGE
STABILITY
THERMIONIC DIODES
THERMIONIC TUBES