Theory of fast-wave absorption, transmission, and reflection in the ion cyclotron range of frequencies

Journal Article · Wed Jun 01 04:00:00 EDT 1988 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866701· OSTI ID:5222729

Lashmore-Davies, C N; Fuchs, V; Francis, G; Ram, A K; Bers, A; Gauthier, L

A second-order differential equation for the fast wave propagating in a hot, two-ion species plasma is obtained. This second-order approximation is obtained unambiguously and allows the wave amplitude to be identified with one of the electric field components. The approximation is based on replacing the coupling to the ion-Bernstein wave by a localized perturbation of the fast wave. For the case of perpendicular propagation, the second-order equation reduces to Budden's equation giving the well-known transmission coefficient for both two-ion hybrid and second-harmonic resonance. The equation includes the effect of simultaneous minority fundamental and majority second-harmonic cyclotron damping. The solutions of the second-order equation as a function of n/sub parallel/ give absorption transmission and reflection coefficients that agree well with the results based on models giving higher-order differential equations and solved by means of much more complex numerical codes.

• Research Organization: Plasma Fusion Center, Massuchusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 5222729
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:6; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ABSORPTION
AMPLITUDES
BERNSTEIN MODE
CHARGED PARTICLES
CONSERVATION LAWS
CONVERSION
CYCLOTRON HARMONICS
DAMPING
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
DISTURBANCES
ENERGY ABSORPTION
ENERGY LOSSES
EQUATIONS
HARMONICS
HEATING
HOT PLASMA
IONS
LOSSES
NUMERICAL SOLUTION
OSCILLATION MODES
OSCILLATIONS
PLASMA
PLASMA HEATING
REFLECTION
TRANSMISSION
WAVE PROPAGATION