Optical pattern formation in self-focusing and self-defocusing diffractively thick media

Cold atomic clouds constitute highly resonant nonlinear optical media, whose refractive index can be easily tuned via the light frequency. When subjected to a retro-reflected laser beam and under appropriate conditions, the cloud undergoes spontaneous symmetry breaking and spatial patterns develop in the transverse cross-section of the beam. We investigate the impact of the sign of the light detuning from the atomic resonance on these patterns, thus directly comparing pattern formation for self-focusing and self-defocusing nonlinearities. Our observations emphasize the need for a ''diffractively thick'' medium description of the light-cloud interaction, where diffraction and nonlinear propagation inside the sample are taken into account.