Abstract
The coupling between electromagnetic and electron plasma waves in a uniform plasma in the presence of a static magnetic field is studied. The transport equations are used to represent the plasma and Maxwell's equations to represent the fields. These yield a dispersion relation which is discussed here only for ions of infinite mass. Eight topologically different phase velocity surfaces suffice to represent the system of combined electromagnetic and electron waves for all values of plasma density and magnetic field strength. The plasma waves have cutoffs (phase velocity infinite) wherever the electromagnetic wave has a resonance (phase velocity zero); the coupling between the two waves is strong there and their respective velocity surfaces join smoothly one onto the other. Elsewhere the waves are distinct.
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