Nonlocal theory of beam-driven electron Bernstein waves

Journal Article · Sun Mar 01 00:00:00 EST 1987 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866344· OSTI ID:7013771

Jain, V K; Tripathi, V K

A nonlocal theory of electron Bernstein waves driven unstable by an axial beam (V = V/sub b/z-italic-circumflex) of finite width has been developed. Assuming a parabolic density profile for the background plasma, an equation describing the mode structure of the wave is obtained in the slab geometry. The eigenfunctions are found to be Hermite polynomials. Expressions for the growth rates of the instabilities caused by Cerenkov and slow cyclotron interactions are derived. The results of the theory are applied to explain some of the experimental observations of Jain and Christiansen (Phys. Lett. A 82, 127 (1981)).

• Research Organization: Department of Physics, Indian Institute of Technology, Hauz Khas, New Delhi 110 016, India
• OSTI ID: 7013771
• Journal Information: Phys. Fluids; (United States), Vol. 30:3
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BEAM-PLASMA SYSTEMS
BERNSTEIN MODE
CHERENKOV RADIATION
CYCLOTRON RADIATION
EIGENFUNCTIONS
EQUATIONS
HERMITE POLYNOMIALS
INSTABILITY GROWTH RATES
PLASMA DENSITY
BREMSSTRAHLUNG
ELECTROMAGNETIC RADIATION
FUNCTIONS
OSCILLATION MODES
POLYNOMIALS
RADIATIONS
700107* - Fusion Energy- Plasma Research- Instabilities