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The derivation of the helicon dispersion relation for a uniform plasma withstationary ions subject to a constant background magnetic field is reexaminedin terms of the potential formulation of electrodynamics. Under the sameconditions considered by the standard derivation, the nonlinear self-couplingbetween the perturbed electron flow and the potential it generates isaddressed. The plane wave solution for general propagation vector is determinedfor all frequencies and expressed in terms of a vector phasor. The behavior ofthe solution as described in vacuum units depends upon the ratio ofconductivity to the magnitude of the background field. Only at low conductivityand below the cyclotron frequency can significant propagation occur asdetermined by the ratio of skin depth to wavelength.

Potential formulation of the dispersion relation for a uniform, magnetized plasma with stationary ions in terms of a vector phasor