Abstract
The dispersion relation for relativistic plasmas in a uniform magnetic field is analyzed for general particle velocity distribution functions. Without any prior assumptions, the conductivity tensor is evaluated. Special emphasis is placed on mode coupling and oblique propagating modes. Several limiting cases are considered such as (i) weak isotropic contribution; (ii) small coupling; (iii) parallel mode propagation. The general method therefore allows for the evaluation of approximate solutions. Furthermore, it is shown how and under which conditions the well-known classic longitudinal and transverse dispersion relations for parallel wave propagation can be recovered.
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