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An analysis of electron drift waves and drift-cyclotron waves has been carried out in cylindrical geometry using a k-space integral equation. The model assumes a low-β electrostatic plasma in a straight magnetic field with a Gaussian density profile. Above the threshold for the drift-cyclotron instability, a complicated spectrum of modes is found, with the fundamental radial eigenmode not necessarily the most unstable. In solving the integral equation, improved computational efficiency is obtained by decomposing the eigenfunctions on an associated Laguerre polynomial basis, a method which works best for low-azimuthal (m<25) and low-radial (n<10) mode numbers.
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Ferraro et al. (1985) studied this question.
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