Mixed potential formulations and electrode boundary conditions

Electrode interactions are a critical part of many plasma devices.

Applying electrode boundary conditions directly on the electric and magnetic fields generally requires path integrals between the electrodes, which are not spatially localized.

Using a mixed potential formulation of Maxwell's equations eliminates the need for path integrals entirely and may provide a way to the direct impose electrode boundary conditions on the potential fields.

This research investigates methods for applying electrode boundary conditions on a mixed potential formulation of Maxwell's equations coupled with the two fluid plasma model to study electrode interactions in planar and pinch-like plasma configurations.