Dissipative mode coupling in ion-cyclotron resonance minority heating
- 1 December 1988
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 31 (12), 3702-3708
- https://doi.org/10.1063/1.866888
Abstract
Coupled wave equations and the corresponding wave‐energy‐flow conservation law describing the fast magnetosonic and ion‐Bernstein waves are derived for minority heating in the ion‐cyclotron range of frequencies. This fourth‐order full‐wave system is subsequently reduced in order through representation by means of two, completely decoupled, second‐order systems. One is a second‐order equation for the fast wave in which the Bernstein mode is treated as a driven response. The second is coupled‐mode equations for amplitudes varying slowly under the influence of coupling, inhomogeneity, and dissipation. The coupled‐mode equations are approximately solved for both high‐field and low‐field incidence to give the transmission and mode‐conversion coefficients in closed form for arbitrary wavenumbers parallel to the magnetic field. Good agreement with fourth‐order calculations is obtained.Keywords
This publication has 23 references indexed in Scilit:
- Use of a simplified mode-conversion equation to investigate the effects of high-temperature fusion products on ion-cyclotron resonance heatingPlasma Physics and Controlled Fusion, 1988
- An algorithm for the calculation of three-dimensional ICRF fields in tokamak geometryNuclear Fusion, 1987
- Four-dimensional eikonal theory of linear mode conversionPhysical Review Letters, 1987
- ICRF fundamental minority heating in inhomogeneous tokamak plasmasNuclear Fusion, 1987
- ICRF studies on JETPlasma Physics and Controlled Fusion, 1986
- Characteristics of ICRF heating near the second harmonicNuclear Fusion, 1983
- The theory of mode conversion and wave damping near the ion cyclotron frequencyNuclear Fusion, 1983
- Heating tokamaks via the ion-cyclotron and ion-ion hybrid resonancesNuclear Fusion, 1977
- Mode Conversion and Tunneling at the Two-Ion Hybrid ResonancePhysical Review Letters, 1976
- Fast-wave heating of a two-component plasmaNuclear Fusion, 1975