Wave propagation near a cyclotron resonance in a non-uniform equilibrium magnetic field
The inclusion of the variation of the equilibrium magnetic field across the Larmor orbits of the resonant particles is crucial for a self-consistent treatment of cyclotron resonance in plasmas. Two contrasting non-relativistic self-consistent calculations (those of Autonsen and Manheimer versus those of Lashmore-Davies and Dendy), which analyse perpendicular propagation in the same non-uniform magnetic field, are compared. It is shown that the first of these, which is a full wave calculation, makes an approximation which eliminates the damping found in the second, which calculates optical depth via a WKB approximation. A new expansion of the exact integral equation describing the problem is given, producing full wave equations which incorporate the perpendicular damping. The equations are of the correct form to ensure energy conservation and can easily be obtained to any order in an expansion in terms of the ratio of Larmor radius to perpendicular wavelength.
Bibliographic Reference: Report: AEA FUS 73 EN (1990) 18 pp.
Availability: Available from the Librarian, UKAEA, Culham Laboratory, Abingdon, Oxon. OX14 3DB (GB)
Record Number: 199110106 / Last updated on: 1994-12-02
Original language: en
Available languages: en