Diocotron instability of a warm electron beam in crossed fields
Abstract
The warmfluid equation derived from the drift kinetic equation is solved numerically to investigate the electrostatic lowfrequency stability of an electron ribbon beam drifting in the crossedfields of a planar magnetron. The temperature effect is manifested only for oblique propagation with respect to the drifting beam direction. The dispersion relation takes the form ω = ω(k/ks) = ω(ks/k), where k and k are respectively the components of the surface wave vector k parallel and perpendicular to the magnetic field. The obliqueness of the propagation direction and the nonzero temperature give rise to a resonant instability, in addition to the diocotron instability, and the wavenumber corresponding to the maximum diocotron growth rate shifts as the temperature changes.
 Publication:

Journal of Plasma Physics
 Pub Date:
 February 1996
 DOI:
 10.1017/S0022377800018717
 Bibcode:
 1996JPlPh..55..131L