Gyrokinetic theory of fast wave transmission with arbitrary parallel wave number in a non-uniformly magnetized plasma
The gyrokinetic theory of ion cyclotron resonance is extended to include propagation at arbitrary angles to a straight equilibrium magnetic field with a linear perpendicular gradient in strength. The case of the compressional Alfvén wave propagating in a D(3He) plasma is analysed in detail, for arbitrary concentrations of the two species. A self-consistent local dispersion relation is obtained using a single mode description; this approach enables three-dimensional effects to be included and permits efficient calculation of the transmission coefficient. The dependence of this quantity on the species density ratio, minority temperature, plasma density, magnetic field and equilibrium scale length is obtained. A self-consistent treatment of the variation of the field polarisation across the resonant region is included. Families of transmission curves are given as a function of the normalised parallel wave number for parameters relevant to JET. Perpendicular absorption by the minority ions is also discussed, and shown to depend on a single parameter, the ratio of the ion thermal velocity to the Alfvén speed.
Bibliographic Reference: Report: AEA FUS 65 EN (1990) 25 pp.
Availability: Available from the Librarian, UKAEA, Culham Laboratory, Abingdon, Oxon. OX14 3DB (GB)
Record Number: 199011685 / Last updated on: 1994-12-02
Original language: en
Available languages: en