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We use a pin-grid electrode to introduce a corrugated electrical potentialinto a planar dielectric-barrier discharge (DBD) system, so that the amplitudeof the applied electric field has the profile of a two-dimensional squarelattice. The lattice potential provides a template for the spatial distributionof plasma filaments in the system and has pronounced effects on the patternsthat can form. The positions at which filaments become localized within thelattice unit cell vary with the width of the discharge gap. The patterns thatappear when filaments either overfill or under-fill the lattice are reminiscentof those observed in other physical systems involving 2d lattices. We suggestthat the connection between lattice-driven DBDs and other areas of physics maybenefit from the further development of models that treat plasma filaments asinteracting particles.

Dielectric-barrier discharges in two-dimensional lattice potentials