Three-dimensional pattern formation in semiconductor microcavities

We study pattern formation in a paraxial model for an unidirectional ring resonator filled with a semiconductor sample and driven by a coherent injected field beyond the mean field limit (MFL). We perform numerical simulations to describe the three-dimensional dynamics of the coherent field profile. For fast media spontaneous self-confinement leads to the formation of 3D dissipative addressable spatial solitons, we show that for carrier dynamics compatible with GaAs/GaAlAs MQW devices longitudinal self-confinement is hindered by the slow carrier interband dynamics.