Ma. Vorontsov et Wj. Firth, PATTERN-FORMATION AND COMPETITION IN NONLINEAR-OPTICAL SYSTEMS WITH 2-DIMENSIONAL FEEDBACK, Physical review. A, 49(4), 1994, pp. 2891-2906
Nonlinear optical systems using a Kerr slice and two-dimensional feedb
ack are analyzed. A Neumann-series approach is used to study pattern f
ormation. We show that interactions between spatial modes (rolls) occu
r in the form of ''winner-takes-all'' dynamics and cause formation of
hexagon patterns.