Wave propagation across ion cyclotron resonance harmonic layers

Technical Report · Sat Aug 01 04:00:00 EDT 1987

OSTI ID:6080194

Imre, K; Weitzner, H

Wave propagation across ion cyclotron resonance layers is investigated by use of a boundary layer analysis for a perpendicularly stratified, weakly inhomogeneous plasma. Corresponding to the situation in many plasmas of interest, it is assumed that the wave frequency is much less than the ion plasma frequency, but that the ratio of ion plasma frequency to wave frequency times the ratio of ion thermal speed to the speed of light is small. Non-trivial effects of the cyclotron resonance appear in the boundary layer and modify the current from the cold plasma limit. These corrections suggest the breakdown of the geometrical optics limit. Wave equations for the field valid within an arbitrary harmonic resonance layer are derived, as well as for the two ion hybrid resonance case. Analytical proofs of reciprocity relations are given for the general wave propagation problems. For fundamental resonance, second harmonic resonance, and ion-ion hybrid resonance proofs of the properties that the transmission coefficient remains the same as its geometrical optics value, and the absence of reflection of the fast mode incident from the high field side are given. Numerical results for the cases of fundamental, second, and third ion resonances, and for the ion-ion hybrid resonance are presented.

• Research Organization: New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
• DOE Contract Number: FG02-86ER53223
• OSTI ID: 6080194
• Report Number(s): DOE/ER/53223-45; MF-116; ON: DE88000202
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
BOUNDARY LAYERS
CURRENT DENSITY
CYCLOTRON RESONANCE
DIFFERENTIAL EQUATIONS
EQUATIONS
HARMONICS
HYBRID RESONANCE
ION CYCLOTRON-RESONANCE
ION PLASMA WAVES
ION WAVES
LAYERS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA WAVES
RESONANCE
WAVE EQUATIONS
WAVE PROPAGATION