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By integrating the linearised Vlasov equation, an integral form is derived of the constitutive relation (the relation between the h.f. electric field E and the h.f. current J) valid to all orders in the Larmor radius in axially magnetised inhomogeneous plasmas. It has the form of a convolution integral in Fourier-space, whose Kernel can be expanded in Bessel functions, or put in a form analogous to the Gordeev integral form of the usual uniform plasma conductivity tensor, to which it reduces in the uniform plasma limit. Alternatively, it can be formulated as an integral equation in real space. Both formulations can be useful for the investigation of ion Bernstein waves near ion cyclotron resonances and near the Lower Hybrid resonance, where a WKB analysis alone is insufficient.

Additional information

Authors: BRAMBILLA M, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Report: IPP 5/27 EN (1989)
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
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