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The dispersion of electron cyclotron waves in a relativistic Maxwellian plasma was investigated. The apparently very complicated picture of the coupling of the extraordinary (X) mode to Bernstein waves is explained in a simple way by considering the refractive indices as Riemann-like surfaces in the Clemmow-Mullaly-Allis (CMA) parameter space, and by introducing topological concepts from the analysis of complex functions. A detailed study is made of the surface representing the X-mode for perpendicular propagation, with special attention given to the connection between this mode and Gross-Bernstein modes. For perpendicular propagation, non-transcendental approximations to the relativistic refractive indices for X- and O-modes can be given. These approximations are good up to about 25 keV and, at frequencies up to the second harmonic of the electron cyclotron frequency, the X-mode approximation also accounts correctly for the connection of the X-mode to Bernstein modes.

Additional information

Authors: EGEDAL J, JET Joint Undertaking, Abingdon, Oxon. (GB);BINDSLEV H, JET Joint Undertaking, Abingdon, Oxon. (GB)
Bibliographic Reference: Report: JET-P(93)74 EN (1993) 17 pp.
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon. OX14 3EA (GB)
Record Number: 199311463 / Last updated on: 1994-11-28
Original language: en
Available languages: en
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