Stationary waves in a bounded plasma

Journal Article · Sat Jan 01 04:00:00 EST 1977 · Sov. Phys. - Tech. Phys. (Engl. Transl.); (United States)

OSTI ID:7100050

Rutkevich, B N; Pashchenko, A V; Fedorchenko, V D; Mazalov, Y P

Stationary space-charge waves in a thin plasma slab, a thin plasma rod, and a thin electron beam in a strong longitudinal magnetic field are analyzed. The analysis is based on the model of a thin plasma slab used previously for a cold plasma. When this model applies, the equations of motion for the electrons have stationary solutions corresponding to two wave branches which differ in propagation velocity and several other characteristics. Corresponding to these branches there are two branches of the small-amplitude dispersion curve. A nonlinear solution giving the wave profile and propagation velocity as functions of the amplitude is found for finite-amplitude waves. The exact equations are used to find a relationship between the propagation velocity and the amplitude for solitary space-charge waves; the maximum values of the electric potential and field are determined.

• Research Organization: Physicotechnical Institute, Academy of Sciences of the Ukrainian SSR, Kharkov
• OSTI ID: 7100050
• Journal Information: Sov. Phys. - Tech. Phys. (Engl. Transl.); (United States), Journal Name: Sov. Phys. - Tech. Phys. (Engl. Transl.); (United States) Vol. 22:1; ISSN SPTPA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
NONLINEAR PROBLEMS
PLASMA WAVES
SLABS
SPACE CHARGE
WAVE PROPAGATION