Influence of electron trapping on stationary Langmuir waves

Journal Article · Tue Nov 01 04:00:00 EST 1988 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866938· OSTI ID:6854155

Bergmann, A; Schnabl, H

The excitation of high-amplitude Langmuir waves in a warm plasma is investigated in the framework of the hydrodynamic model. An integral expression is found describing the maximum possible amplitude in the limit of stationary waves. The steep increase of compression energy in the density peaks is shown to be the reason for this limitation of amplitude. If electron trapping in the potential of the Langmuir wave is taken into consideration, two consequences occur: The limit for the density peaks in the stationary wave is lowered, and the dispersion relation is modified. Because of the trapped electrons, allowed frequency bands appear below the original plasma frequency. Thus plasma waves containing trapped electrons are able to propagate in the overdense region.

• Research Organization: Institute f uer Angewandte Physik, Technische Hochschule Darmstadt, D-6100 Darmstadt, Federal Republic of Germany
• OSTI ID: 6854155
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:11; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ELECTRON PLASMA WAVES
ELECTRONS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EXCITATION
FERMIONS
FLUID MECHANICS
HYDRODYNAMICS
INSTABILITY
LEPTONS
MECHANICS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA WAVES
TRAPPED ELECTRONS
TRAPPED-PARTICLE INSTABILITY
WAVE PROPAGATION