EPJ Web Conf.
Volume 277, 202321st Joint Workshop on Electron Cyclotron Emission and Electron Cyclotron Resonance Heating (EC21)
|Number of page(s)||6|
|Published online||23 February 2023|
Paraxial beams in fluctuating fusion plasmas: Diffusive limit and beyond
Max-Planck-Institut für Plasmaphysik, Boltzmannstr. 2, 85748 Garching bei München, Germany
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Published online: 23 February 2023
A paraxial expansion of the (ensemble-averaged) Wigner function in the relevant wave kinetic equation for electron cyclotron waves in fluctuating plasmas allows the derivation of phase-space equations similar to the equations for the Gaussian beam parameters in the paraxial WKB method [G.V. Pereverzev, Phys. Plasmas 5, 3529 (1998)]. This is relatively straightforward when the scattering of the wave field by density fluctuations can be described by a diffusion operator in refractive-index space. The general case is rather more complicated, yet we could find a heuristic construction of a paraxial Wigner function. Here we use a simple model, which has an analytical solution, to test both the theoretical validity of the diffusion approximation and the heuristic paraxial approach beyond the diffusion approximation.
© The Authors, published by EDP Sciences, 2023
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