Periodic vortex structures in superfluid He-3-A

We discuss the general properties of periodic vortex arrangements in rotati ng superfluids. The different possible structures are classified according to the symmetry space groups and the circulation number. We calculate numer ically several types of vortex structures in superfluid He-3-A. The calcula tions are done in the Ginzburg-Landau region, but the method is applicable at all temperatures. A phase diagram of vortices is constructed in the plan e formed by the magnetic field and the rotation velocity. The characteristi cs of the six equilibrium vortex solutions are discussed. The vortex sheet forms the equilibrium state of rotating He-3-A at rotation velocities excee ding 2.6 rad/s. The results are in qualitative agreement with experiments. [S0163-1829(99)00741-9].