Dispersion in beam‐plasma systems: III. Magnetic field induced pressure anisotropies

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Abstract
A treatment is given of linear waves in an homogeneous beam‐plasma system in the presence of an external magnetic field. The pressure anisotropies generated by the magnetic field are also taken into account. The most general dispersion formula is then derived, using a low‐temperature closure condition. The result is a coupling between all plasma waves, due to three causes: the external magnetic field, the pressure anisotropies and the beam velocities. Each of these phenomena can cause a coupling. Taken together, the coupling is intricate and complete. The only simplification comes from wave‐vectors parallel to the zero‐order magnetic field; then the waves are modified longitudinal and transverse waves.

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