Resonant parametric excitations driven by lower-hybrid fields

Journal Article · Sat Nov 01 04:00:00 EST 1980 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.862926· OSTI ID:7092927

Villalon, E

Three-wave parametric excitation in inhomogeneous plasmas is examined in a two-dimensional geometry relevant to supplementary rf heating of tokamaks. The stabilization of resonant parametric excitation due to a linear mismatch in wavenumbers and to the Landau-damping rates of the decay waves is analyzed, assuming that the magnitude of the pump field is constant in time and in the spatial region where the resonant interaction takes place. Both types of temporally growing modes and spatially amplified instabilities are studied, using a WKB analysis. It is shown that either by increasing the strength of the mismatch K' or the width of the pump L, the growth rate of the fastest growing normal mode will decrease. When the excited waves are slightly damped, it is shown that there exists a finite value of the product K'L, such that, above it, no temporal normal modes are excited. The amount of spatial amplification is also reduced by the mismatch in wavenumbers and by the damping rates of the excited waves. Because of the finite spatial extent of the pump electric field, the amplification length is found to be smaller than or equal to L, depending on the strength of the mismatch and damping rates.

• Research Organization: Plasma Fusion Center and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 7092927
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 23:11; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
700108 -- Fusion Energy-- Plasma Research-- Wave Phenomena
BOUNDARY CONDITIONS
CLOSED PLASMA DEVICES
DAMPING
DISPERSION RELATIONS
HEATING
HIGH-FREQUENCY HEATING
INHOMOGENEOUS PLASMA
INSTABILITY
LANDAU DAMPING
NONLINEAR PROBLEMS
NORMAL-MODE ANALYSIS
PARAMETRIC INSTABILITIES
PLASMA
PLASMA HEATING
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA WAVES
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TWO-DIMENSIONAL CALCULATIONS
WKB APPROXIMATION