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Gain and loss of electron kinetic energy through the mechanism of direct and inverse collisional bremsstrahlung, in the presence of a static magnetic field B, has been investigated within the framework of a non-relativistic classical theory. Interaction with ions is described by means of a Coulomb potential. Two special cases have been considered in detail, namely when the electric field of the wave is either linearly polarized along B, or circularly polarized in a plane perpendicular to B. The regimes of wave-induced electron velocities larger or comparable with the unperturbed ones have been investigated. Substantial differences from the results obtained in the weak field regime, previously considered in the literature, have been pointed out.

The first Born approximation scattering cross section in the presence of a strong magnetic field diverges at the Landau thresholds. The authors show that, at low energy, using a higher order approximation such divergences are rounded off but are still present, while they are completely washed out for higher energy.